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Castañeda R, Trujillo C, Doblas A. A human erythrocytes hologram dataset for learning-based model training. Data Brief 2024; 54:110424. [PMID: 38708305 PMCID: PMC11068518 DOI: 10.1016/j.dib.2024.110424] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2024] [Revised: 04/09/2024] [Accepted: 04/09/2024] [Indexed: 05/07/2024] Open
Abstract
This manuscript presents a paired dataset with experimental holograms and their corresponding reconstructed phase maps of human red blood cells (RBCs). The holographic images were recorded using an off-axis telecentric Digital Holographic Microscope (DHM). The imaging system consists of a 40 × /0.65NA infinity-corrected microscope objective (MO) lens and a tube lens (TL) with a focal distance of 200 mm, recording diffraction-limited holograms. A CMOS camera with dimensions of 1920 × 1200 pixels and a pixel pitch of 5.86 µm was located at the back focal plane of the TL lens, capturing image-plane holograms. The off-axis, telecentric, and diffraction-limited DHM system guarantees accurate quantitative phase maps. Initially comprising 300 holograms, the dataset was augmented to 36,864 instances, enabling the investigation (i.e., training and testing) of learning-based models to reconstruct aberration-free phase images from raw holograms. This dataset facilitates the training and testing of end-to-end models for quantitative phase imaging using DHM systems operating at the telecentric regime and non-telecentric DHM systems where the spherical wavefront has been compensated physically. In other words, this dataset holds promise for advancing investigations in digital holographic microscopy and computational imaging.
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Affiliation(s)
- Raul Castañeda
- Applied Optics Group, School of Applied Sciences and Engineering EAFIT University, Medellin 050037, Colombia
| | - Carlos Trujillo
- Applied Optics Group, School of Applied Sciences and Engineering EAFIT University, Medellin 050037, Colombia
| | - Ana Doblas
- Electrical and Computer Engineering Department, University of Massachusetts – Dartmouth, USA
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2
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Jin L, Yu Z, Au A, Serles P, Wang N, Lant JT, Filleter T, Yip CM. P-TDHM: Open-source portable telecentric digital holographic microscope. HARDWAREX 2024; 17:e00508. [PMID: 38327674 PMCID: PMC10847153 DOI: 10.1016/j.ohx.2024.e00508] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/20/2023] [Revised: 12/12/2023] [Accepted: 01/19/2024] [Indexed: 02/09/2024]
Abstract
We present the design of a low-cost, portable telecentric digital holographic microscope (P-TDHM) that utilizes off-the-shelf components. We describe the system's hardware and software elements and evaluate its performance by imaging samples ranging from nano-printed targets to live HeLa cells, HEK293 cells, and Dolichospermum via both in-line and off-axis modes. Our results demonstrate that the system can acquire high quality quantitative phase images with nanometer axial and sub-micron lateral resolution in a small form factor, making it a promising candidate for resource-limited settings and remote locations. Our design represents a significant step forward in making telecentric digital holographic microscopy accessible and affordable to the broader community.
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Affiliation(s)
- Lei Jin
- Institute of Biomedical Engineering, 164 College St, University of Toronto, Toronto, ON M5S 3G9, Canada
- Donnelly Centre for Cellular & Biomolecular Research, University of Toronto, 160 College Street, Toronto, Ontario M5S 3E1, Canada
| | - Ziyang Yu
- Institute of Biomedical Engineering, 164 College St, University of Toronto, Toronto, ON M5S 3G9, Canada
- Donnelly Centre for Cellular & Biomolecular Research, University of Toronto, 160 College Street, Toronto, Ontario M5S 3E1, Canada
| | - Aaron Au
- Institute of Biomedical Engineering, 164 College St, University of Toronto, Toronto, ON M5S 3G9, Canada
- Donnelly Centre for Cellular & Biomolecular Research, University of Toronto, 160 College Street, Toronto, Ontario M5S 3E1, Canada
| | - Peter Serles
- Department of Mechanical and Industrial Engineering, 5 King's College Road, Toronto, ON M5S 3G8, Canada
| | - Nan Wang
- Civil and Environmental Engineering, 527 College Avenue, Cornell University, Ithaca, NY 14853, United States
| | - Jeremy T. Lant
- Donnelly Centre for Cellular & Biomolecular Research, University of Toronto, 160 College Street, Toronto, Ontario M5S 3E1, Canada
- Department of Chemistry, 80 St. George Street, Toronto, ON M5S 3H6, Canada
| | - Tobin Filleter
- Department of Mechanical and Industrial Engineering, 5 King's College Road, Toronto, ON M5S 3G8, Canada
| | - Christopher M. Yip
- Institute of Biomedical Engineering, 164 College St, University of Toronto, Toronto, ON M5S 3G9, Canada
- Donnelly Centre for Cellular & Biomolecular Research, University of Toronto, 160 College Street, Toronto, Ontario M5S 3E1, Canada
- Department of Chemical Engineering & Applied Chemistry, 200 College St, Toronto, ON M5S 3E5, Canada
- Department of Biochemistry, University of Toronto, 1 King's College Circle, Toronto, ON M5S 1A8, Canada
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3
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Yang J, Li F, Du J, Yang F, Yu S, Chen Q, Wang J, Zhang X, Sun S, Yan W. Automatic aberration compensation for digital holographic microscopy based on bicubic downsampling and improved minimization of global phase gradients. OPTICS EXPRESS 2023; 31:36188-36201. [PMID: 38017773 DOI: 10.1364/oe.496840] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/31/2023] [Accepted: 10/04/2023] [Indexed: 11/30/2023]
Abstract
In digital holographic microscopy, aberrations caused by imperfect optical system settings can greatly affect the quantitative measurement of the target phase, so the compensation of aberrations in the distorted phase has become a key point of research in digital holographic microscopy. Here, we propose a fully automatic numerical phase aberration compensation method with fast computational speed and high robustness. The method uses bicubic downsampling to smooth the sample phase for reducing its disturbance to the background aberration fit, while reducing the computational effort of aberration compensation. Polynomial coefficients of the aberration fitting are iteratively optimized in the process of minimizing the global phase gradient by improving the phase gradient operator and constructing the loss function to achieve accurate fitting of the phase aberration. Simulation and experimental results show that the proposed method can achieve high aberration compensation accuracy without prior knowledge of the hologram recording settings or manual selection of the background area free of samples, and it is suitable for samples with moderate and relatively flat background area, which can be widely used in the quantitative analysis of biological tissues and micro and nano structures.
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Zhang Y, Huang Z, Jin S, Cao L. Hough transform-based multi-object autofocusing compressive holography. APPLIED OPTICS 2023; 62:D23-D30. [PMID: 37132766 DOI: 10.1364/ao.478473] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Reconstruction of multiple objects from one hologram can be affected by the focus metric judgment of autofocusing. Various segmentation algorithms are applied to obtain a single object in the hologram. Each object is unambiguously reconstructed to acquire its focal position, which produces complicated calculations. Herein, Hough transform (HT)-based multi-object autofocusing compressive holography is presented. The sharpness of each reconstructed image is computed by using a focus metric such as entropy or variance. According to the characteristics of the object, the standard HT is further used for calibration to remove redundant extreme points. The compressive holographic imaging framework with a filter layer can eliminate the inherent noise in in-line reconstruction including cross talk noise of different depth layers, two-order noise, and twin image noise. The proposed method can effectively obtain 3D information on multiple objects and achieve noise elimination by only reconstructing from one hologram.
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Jin L, Yu Z, Au A, Yip CM. Practical approach for optimizing off-axis telecentric digital holographic microscope design. APPLIED OPTICS 2022; 61:10490-10498. [PMID: 36607111 DOI: 10.1364/ao.476308] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/29/2022] [Accepted: 11/09/2022] [Indexed: 06/17/2023]
Abstract
Digital holographic microscopy (DHM) has become an attractive imaging tool for the analysis of living cells and histological tissues. Telecentric DHM (TDHM) is a configuration of DHM that reduces the computational demands through a priori aberration corrections. However, TDHM requires a well-aligned optical pipeline to optimize its resolution and image quality (IQ), which has traditionally complicated the alignment process. Derived from optical interference functions, we offer here a set of methodologies to simplify TDHM design and alignment by determining the optimal +1-order position, which depends on the object-reference beam angle and the interference plane rotation angle. The methods are then experimentally tested and verified on a TDHM system by imaging living HeLa cells in suspension.
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Castañeda R, Trujillo C, Doblas A. pyDHM: A Python library for applications in digital holographic microscopy. PLoS One 2022; 17:e0275818. [PMID: 36215263 PMCID: PMC9551626 DOI: 10.1371/journal.pone.0275818] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2022] [Accepted: 09/23/2022] [Indexed: 11/19/2022] Open
Abstract
pyDHM is an open-source Python library aimed at Digital Holographic Microscopy (DHM) applications. The pyDHM is a user-friendly library written in the robust programming language of Python that provides a set of numerical processing algorithms for reconstructing amplitude and phase images for a broad range of optical DHM configurations. The pyDHM implements phase-shifting approaches for in-line and slightly off-axis systems and enables phase compensation for telecentric and non-telecentric systems. In addition, pyDHM includes three propagation algorithms for numerical focusing complex amplitude distributions in DHM and digital holography (DH) setups. We have validated the library using numerical and experimental holograms.
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Affiliation(s)
- Raul Castañeda
- Optical Imaging Research Laboratory, Department of Electrical and Computer Engineering, The University of Memphis, Memphis, TN, United States of America
| | - Carlos Trujillo
- Applied Optics Group, School of Applied Sciences and Engineering, Universidad EAFIT, Medellin, Colombia
| | - Ana Doblas
- Optical Imaging Research Laboratory, Department of Electrical and Computer Engineering, The University of Memphis, Memphis, TN, United States of America
- * E-mail:
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Single-Shot 3D Topography of Transmissive and Reflective Samples with a Dual-Mode Telecentric-Based Digital Holographic Microscope. SENSORS 2022; 22:s22103793. [PMID: 35632202 PMCID: PMC9144696 DOI: 10.3390/s22103793] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/12/2022] [Revised: 05/12/2022] [Accepted: 05/13/2022] [Indexed: 02/01/2023]
Abstract
Common path DHM systems are the most robust DHM systems as they are based on self-interference and are thus less prone to external fluctuations. A common issue amongst these DHM systems is that the two replicas of the sample’s information overlay due to self-interference, making them only suitable for imaging sparse samples. This overlay has restricted the use of common-path DHM systems in material science. The overlay can be overcome by limiting the sample’s field of view to occupy only half of the imaging field of view or by using an optical spatial filter. In this work, we have implemented optical spatial filtering in a common-path DHM system using a Fresnel biprism. We have analyzed the optimal pinhole size by evaluating the frequency content of the reconstructed phase images of a star target. We have also measured the accuracy of the system and the sensitivity to noise for different pinhole sizes. Finally, we have proposed the first dual-mode common-path DHM system using a Fresnel biprism. The performance of the dual-model DHM system has been evaluated experimentally using transmissive and reflective microscopic samples.
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Castaneda R, Trujillo C, Doblas A. Video-Rate Quantitative Phase Imaging Using a Digital Holographic Microscope and a Generative Adversarial Network. SENSORS 2021; 21:s21238021. [PMID: 34884025 PMCID: PMC8659916 DOI: 10.3390/s21238021] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 11/20/2021] [Accepted: 11/28/2021] [Indexed: 01/22/2023]
Abstract
The conventional reconstruction method of off-axis digital holographic microscopy (DHM) relies on computational processing that involves spatial filtering of the sample spectrum and tilt compensation between the interfering waves to accurately reconstruct the phase of a biological sample. Additional computational procedures such as numerical focusing may be needed to reconstruct free-of-distortion quantitative phase images based on the optical configuration of the DHM system. Regardless of the implementation, any DHM computational processing leads to long processing times, hampering the use of DHM for video-rate renderings of dynamic biological processes. In this study, we report on a conditional generative adversarial network (cGAN) for robust and fast quantitative phase imaging in DHM. The reconstructed phase images provided by the GAN model present stable background levels, enhancing the visualization of the specimens for different experimental conditions in which the conventional approach often fails. The proposed learning-based method was trained and validated using human red blood cells recorded on an off-axis Mach–Zehnder DHM system. After proper training, the proposed GAN yields a computationally efficient method, reconstructing DHM images seven times faster than conventional computational approaches.
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Affiliation(s)
- Raul Castaneda
- Department of Electrical and Computer Engineering, The University of Memphis, Memphis, TN 38152, USA;
| | - Carlos Trujillo
- Applied Optics Group, Physical Sciences Department, Universidad EAFIT, Medellin 050037, Colombia;
| | - Ana Doblas
- Department of Electrical and Computer Engineering, The University of Memphis, Memphis, TN 38152, USA;
- Correspondence:
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Castaneda R, Doblas A. Fast-iterative automatic reconstruction method for quantitative phase image with reduced phase perturbations in off-axis digital holographic microscopy. APPLIED OPTICS 2021; 60:10214-10220. [PMID: 34807130 DOI: 10.1364/ao.437640] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2021] [Accepted: 10/21/2021] [Indexed: 05/22/2023]
Abstract
This works presents a reconstruction algorithm to recover the complex object information for an off-axis digital holographic microscope (DHM) operating in the telecentric regimen. We introduce an automatic and fast method to minimize a cost function that finds the best numerical conjugated reference beam to compensate the filtered object information, eliminating any undesired phase perturbation due to the tilt between the reference and object waves. The novelties of the proposed approach, to the best of our knowledge, are a precise estimation of the interference angle between the object and reference waves, reconstructed phase images without phase perturbations, and reduced processing time. The method has been validated using a manufactured phase target and biological samples.
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10
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Ma S, Liu Q, Yu Y, Luo Y, Wang S. Quantitative phase imaging in digital holographic microscopy based on image inpainting using a two-stage generative adversarial network. OPTICS EXPRESS 2021; 29:24928-24946. [PMID: 34614837 DOI: 10.1364/oe.430524] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2021] [Accepted: 07/11/2021] [Indexed: 06/13/2023]
Abstract
Based on the hologram inpainting via a two-stage Generative Adversarial Network (GAN), we present a precise phase aberration compensation method in digital holographic microscopy (DHM). In the proposed methodology, the interference fringes of the sample area in the hologram are firstly removed by the background segmentation via edge detection and morphological image processing. The vacancy area is then inpainted with the fringes generated by a deep learning algorithm. The image inpainting finally results in a sample-free reference hologram containing the total aberration of the system. The phase aberrations could be deleted by subtracting the unwrapped phase of the sample-free hologram from our inpainting network results, in no need of any complex spectrum centering procedure, prior knowledge of the system, or manual intervention. With a full and proper training of the two-stage GAN, our approach can robustly realize a distinct phase mapping, which overcomes the drawbacks of multiple iterations, noise interference or limited field of view in the recent methods using self-extension, Zernike polynomials fitting (ZPF) or geometrical transformations. The validity of the proposed procedure is confirmed by measuring the surface of preprocessed silicon wafer with a Michelson interferometer digital holographic inspection platform. The results of our experiment indicate the viability and accuracy of the presented method. Additionally, this work can pave the way for the evaluation of new applications of GAN in DHM.
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Xiao W, Xin L, Cao R, Wu X, Tian R, Che L, Sun L, Ferraro P, Pan F. Sensing morphogenesis of bone cells under microfluidic shear stress by holographic microscopy and automatic aberration compensation with deep learning. LAB ON A CHIP 2021; 21:1385-1394. [PMID: 33585849 DOI: 10.1039/d0lc01113d] [Citation(s) in RCA: 16] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
We present sensing time-lapse morphogenesis of living bone cells under micro-fluidic shear stress (FSS) by digital holographic (DH) microscopy. To remove the effect of aberrations on quantitative measurements, we propose a numerical and automatic method to compensate for aberrations based on a convolutional neural network (CNN). For the first time, the aberration compensation issue is considered as a regression task where optimal coefficients for constructing the phase aberration map act as responses corresponding to the input aberrated phase image. We adopted tens of thousands of living cells' phase images reconstructed from digital holograms for training the CNN. The experiments demonstrate that, based on the trained network, phase aberrations can be totally removed in real-time without any hypothesis of object and aberration phase, knowledge of the setup's physical parameters, and the operation of selecting background regions; hence, the morphogenesis of the bone cells under FSS is accurately detected and quantitatively analyzed. The results show that the proposed method could provide a highly efficient and versatile way to investigate the effects of micro-FSS on living biological cells in microfluidic lab-on-chip platforms thanks to the combination of phase-contrast label-free microcopy with artificial intelligence.
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Affiliation(s)
- Wen Xiao
- Key Laboratory of Precision Opto-mechatronics Technology, School of Instrumentation & Optoelectronic Engineering, Beihang University, Beijing 100191, China.
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12
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Physical pupil manipulation for speckle reduction in digital holographic microscopy. Heliyon 2021; 7:e06098. [PMID: 33553757 PMCID: PMC7851349 DOI: 10.1016/j.heliyon.2021.e06098] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2020] [Revised: 12/07/2020] [Accepted: 01/22/2021] [Indexed: 12/03/2022] Open
Abstract
The reduction of speckle noise by physically changing the pupil of the imaging system, as first envisioned in optical holography, is experimentally applied to a digital holographic microscope (DHM). The imaging pupil of a DHM, operating in image plane telecentric-afocal architecture, is changed in a controlled way between successive recordings, allowing the shooting of multiple partially-decorrelated holograms. Averaging the numerically reconstructed holograms yields amplitude and/or phase images with reduced speckle noise. Experimental results of biological specimens and a phase-only resolution test show the feasibility to recover micron-sized features in images with reduced speckle noise.
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Ahmad A, Dubey V, Butola A, Ahluwalia BS, Mehta DS. Highly temporal stable, wavelength-independent, and scalable field-of-view common-path quantitative phase microscope. JOURNAL OF BIOMEDICAL OPTICS 2020; 25:JBO-200225RR. [PMID: 33179458 PMCID: PMC7657586 DOI: 10.1117/1.jbo.25.11.116501] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/17/2020] [Accepted: 10/21/2020] [Indexed: 05/30/2023]
Abstract
SIGNIFICANCE High temporal stability, wavelength independency, and scalable field of view (FOV) are the primary requirements of a quantitative phase microscopy (QPM) system. The high temporal stability of the system provides accurate measurement of minute membrane fluctuations of the biological cells that can be an indicator of disease diagnosis. AIM The main aim of this work is to develop a high temporal stable technique that can accurately quantify the cell's dynamics such as membrane fluctuations of human erythrocytes. Further, the technique should be capable of acquiring scalable FOV and resolution at multiple wavelengths to make it viable for various biological applications. APPROACH We developed a single-element nearly common path, wavelength-independent, and scalable resolution/FOV QPM system to obtain temporally stable holograms/interferograms of the biological specimens. RESULTS With the proposed system, the temporal stability is obtained ∼15 mrad without using any vibration isolation table. The capability of the proposed system is first demonstrated on USAF resolution chart and polystyrene spheres (4.5-μm diameter). Further, the system is implemented for single shot, wavelength-independent quantitative phase imaging of human red blood cells (RBCs) with scalable resolution using color CCD camera. The membrane fluctuation of healthy human RBCs is also measured and was found to be around 47 nm. CONCLUSIONS Contrary to its optical counterparts, the present system offers an energy efficient, cost effective, and simple way of generating object and reference beam for the development of common-path QPM. The present system provides the flexibility to the user to acquire multi-wavelength quantitative phase images at scalable FOV and resolution.
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Affiliation(s)
- Azeem Ahmad
- UiT The Arctic University of Norway, Department of Physics and Technology, Tromsø, Norway
| | - Vishesh Dubey
- UiT The Arctic University of Norway, Department of Physics and Technology, Tromsø, Norway
| | - Ankit Butola
- Indian Institute of Technology Delhi, Department of Physics, Hauz Khas, New Delhi, India
| | | | - Dalip Singh Mehta
- Indian Institute of Technology Delhi, Department of Physics, Hauz Khas, New Delhi, India
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Castañeda R, Buitrago-Duque C, Garcia-Sucerquia J, Doblas A. Fast-iterative blind phase-shifting digital holographic microscopy using two images. APPLIED OPTICS 2020; 59:7469-7476. [PMID: 32902516 DOI: 10.1364/ao.398352] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/22/2020] [Accepted: 07/20/2020] [Indexed: 06/11/2023]
Abstract
Digital holographic microscopy (DHM) has consolidated as a tool for diagnosis and measuring in life sciences, thanks to its capability to perform quantitative phase imaging. The reduction of the acquisition and computation time has driven the development of diverse reconstruction methodologies using a single-shot and two-frame approach. Methods based on the Fourier transform, the Hilbert transform, and the phase derivative are counted among the most utilized. The sensitivity of those methods is highly dependent on the compensation of the phase step, which requires the accurate knowledge of the phase shift between the two recorded holograms. Here, an alternative fast-iterative method based on the demodulation of the different components of the recorded interferograms is presented. The novelties of the proposed two-frame approach are: minimum number of images, since it requires 2 recorded holograms; a minimum phase error of the order of 0.005% independently of the phase step ranging from 0 to 180 deg.; a maximum correlation coefficient equal to 1 between the phase and the retrieved phase image; and, finally, a reduced processing time compared with the previous three-frame approach. Experimental results demonstrate the goodness and feasibility of the proposed technique.
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Butola A, Popova D, Prasad DK, Ahmad A, Habib A, Tinguely JC, Basnet P, Acharya G, Senthilkumaran P, Mehta DS, Ahluwalia BS. High spatially sensitive quantitative phase imaging assisted with deep neural network for classification of human spermatozoa under stressed condition. Sci Rep 2020; 10:13118. [PMID: 32753627 PMCID: PMC7403412 DOI: 10.1038/s41598-020-69857-4] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2020] [Accepted: 07/06/2020] [Indexed: 01/24/2023] Open
Abstract
Sperm cell motility and morphology observed under the bright field microscopy are the only criteria for selecting a particular sperm cell during Intracytoplasmic Sperm Injection (ICSI) procedure of Assisted Reproductive Technology (ART). Several factors such as oxidative stress, cryopreservation, heat, smoking and alcohol consumption, are negatively associated with the quality of sperm cell and fertilization potential due to the changing of subcellular structures and functions which are overlooked. However, bright field imaging contrast is insufficient to distinguish tiniest morphological cell features that might influence the fertilizing ability of sperm cell. We developed a partially spatially coherent digital holographic microscope (PSC-DHM) for quantitative phase imaging (QPI) in order to distinguish normal sperm cells from sperm cells under different stress conditions such as cryopreservation, exposure to hydrogen peroxide and ethanol. Phase maps of total 10,163 sperm cells (2,400 control cells, 2,750 spermatozoa after cryopreservation, 2,515 and 2,498 cells under hydrogen peroxide and ethanol respectively) are reconstructed using the data acquired from the PSC-DHM system. Total of seven feedforward deep neural networks (DNN) are employed for the classification of the phase maps for normal and stress affected sperm cells. When validated against the test dataset, the DNN provided an average sensitivity, specificity and accuracy of 85.5%, 94.7% and 85.6%, respectively. The current QPI + DNN framework is applicable for further improving ICSI procedure and the diagnostic efficiency for the classification of semen quality in regard to their fertilization potential and other biomedical applications in general.
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Affiliation(s)
- Ankit Butola
- Bio-photonics Laboratory, Department of Physics, Indian Institute of Technology Delhi, Hauz-Khas, New Delhi, 110016, India
- Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
| | - Daria Popova
- Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
- Women's Health and Perinatology Research Group, Department of Clinical Medicine, UiT The Arctic University of Norway, Tromsø, Norway
| | - Dilip K Prasad
- Department of Computer Science, UiT The Arctic University of Norway, Tromsø, Norway
| | - Azeem Ahmad
- Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
| | - Anowarul Habib
- Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
| | - Jean Claude Tinguely
- Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway
| | - Purusotam Basnet
- Women's Health and Perinatology Research Group, Department of Clinical Medicine, UiT The Arctic University of Norway, Tromsø, Norway
- Department of Obstetrics and Gynaecology, University Hospital of North Norway, Tromsø, Norway
| | - Ganesh Acharya
- Department of Obstetrics and Gynaecology, University Hospital of North Norway, Tromsø, Norway
- Department of Clinical Science, Intervention and Technology Karolinska Institutet, Stockholm, Sweden
| | | | - Dalip Singh Mehta
- Bio-photonics Laboratory, Department of Physics, Indian Institute of Technology Delhi, Hauz-Khas, New Delhi, 110016, India
- Department of Physics, Indian Institute of Technology Delhi, Hauz-Khas, New Delhi, 110016, India
| | - Balpreet Singh Ahluwalia
- Department of Physics and Technology, UiT The Arctic University of Norway, Tromsø, Norway.
- Department of Clinical Science, Intervention and Technology Karolinska Institutet, Stockholm, Sweden.
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16
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Hayes-Rounds C, Bogue-Jimenez B, Garcia-Sucerquia J, Skalli O, Doblas A. Advantages of Fresnel biprism-based digital holographic microscopy in quantitative phase imaging. JOURNAL OF BIOMEDICAL OPTICS 2020; 25:1-11. [PMID: 32755077 PMCID: PMC7399475 DOI: 10.1117/1.jbo.25.8.086501] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/22/2020] [Accepted: 07/23/2020] [Indexed: 05/30/2023]
Abstract
SIGNIFICANCE The hallmarks of digital holographic microscopy (DHM) compared with other quantitative phase imaging (QPI) methods are high speed, accuracy, spatial resolution, temporal stability, and polarization-sensitivity (PS) capability. The above features make DHM suitable for real-time quantitative PS phase imaging in a broad number of biological applications aimed at understanding cell growth and dynamic changes occurring during physiological processes and/or in response to pharmaceutical agents. AIM The insertion of a Fresnel biprism (FB) in the image space of a light microscope potentially turns any commercial system into a DHM system enabling QPI with the five desired features in QPI simultaneously: high temporal sensitivity, high speed, high accuracy, high spatial resolution, and PS. To the best of our knowledge, this is the first FB-based DHM system providing these five features all together. APPROACH The performance of the proposed system was calibrated with a benchmark phase object. The PS capability has been verified by imaging human U87 glioblastoma cells. RESULTS The proposed FB-based DHM system provides accurate phase images with high spatial resolution. The temporal stability of our system is in the order of a few nanometers, enabling live-cell studies. Finally, the distinctive behavior of the cells at different polarization angles (e.g., PS capability) can be observed with our system. CONCLUSIONS We have presented a method to turn any commercial light microscope with monochromatic illumination into a PS QPI system. The proposed system provides accurate quantitative PS phase images in a new, simple, compact, and cost-effective format, thanks to the low cost (a few hundred dollars) involved in implementing this simple architecture, enabling the use of this QPI technique accessible to most laboratories with standard light microscopes.
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Affiliation(s)
- Charity Hayes-Rounds
- The University of Memphis, Department of Electrical and Computer Engineering, Memphis, Tennessee 38152, USA
| | - Brian Bogue-Jimenez
- The University of Memphis, Department of Electrical and Computer Engineering, Memphis, Tennessee 38152, USA
| | | | - Omar Skalli
- The University of Memphis, Department of Biological Sciences, Memphis, Tennessee 38152, USA
| | - Ana Doblas
- The University of Memphis, Department of Electrical and Computer Engineering, Memphis, Tennessee 38152, USA
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Park SM, Visbal-Onufrak MA, Haque MM, Were MC, Naanyu V, Hasan MK, Kim YL. mHealth spectroscopy of blood hemoglobin with spectral super-resolution. OPTICA 2020; 7:563-573. [PMID: 33365364 PMCID: PMC7755164 DOI: 10.1364/optica.390409] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/11/2020] [Accepted: 05/01/2020] [Indexed: 05/05/2023]
Abstract
Although blood hemoglobin (Hgb) testing is a routine procedure in a variety of clinical situations, noninvasive, continuous, and real-time blood Hgb measurements are still challenging. Optical spectroscopy can offer noninvasive blood Hgb quantification, but requires bulky optical components that intrinsically limit the development of mobile health (mHealth) technologies. Here, we report spectral super-resolution (SSR) spectroscopy that virtually transforms the built-in camera (RGB sensor) of a smartphone into a hyperspectral imager for accurate and precise blood Hgb analyses. Statistical learning of SSR enables us to reconstruct detailed spectra from three color RGB data. Peripheral tissue imaging with a mobile application is further combined to compute exact blood Hgb content without a priori personalized calibration. Measurements over a wide range of blood Hgb values show reliable performance of SSR blood Hgb quantification. Given that SSR does not require additional hardware accessories, the mobility, simplicity, and affordability of conventional smartphones support the idea that SSR blood Hgb measurements can be used as an mHealth method.
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Affiliation(s)
- Sang Mok Park
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, Indiana 47907, USA
| | | | - Md Munirul Haque
- R. B. Annis School of Engineering, University of Indianapolis, Indianapolis, Indiana 46227, USA
| | - Martin C. Were
- Department of Biomedical Informatics, Vanderbilt University School of Medicine, Nashville, Tennessee 37212, USA
- Department of Medicine, Vanderbilt University School of Medicine, Nashville, Tennessee 37212, USA
- Vanderbilt Institute for Global Health, Vanderbilt University Medical Center, Nashville, Tennessee 37212, USA
| | - Violet Naanyu
- Department of Behavioral Sciences, Moi University School of Medicine, Eldoret, Kenya
| | - Md Kamrul Hasan
- Department of Biomedical Informatics, Vanderbilt University School of Medicine, Nashville, Tennessee 37212, USA
| | - Young L. Kim
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, Indiana 47907, USA
- Regenstrief Center for Healthcare Engineering, Purdue University, West Lafayette, Indiana 47907, USA
- Purdue University Center for Cancer Research, Purdue University, West Lafayette, Indiana 47907, USA
- Purdue Quantum Center, Purdue University, West Lafayette, Indiana 47907, USA
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18
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Lam VK, Nguyen T, Bui V, Chung BM, Chang LC, Nehmetallah G, Raub CB. Quantitative scoring of epithelial and mesenchymal qualities of cancer cells using machine learning and quantitative phase imaging. JOURNAL OF BIOMEDICAL OPTICS 2020; 25:1-17. [PMID: 32072775 PMCID: PMC7026523 DOI: 10.1117/1.jbo.25.2.026002] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/25/2019] [Accepted: 01/30/2020] [Indexed: 05/07/2023]
Abstract
SIGNIFICANCE We introduce an application of machine learning trained on optical phase features of epithelial and mesenchymal cells to grade cancer cells' morphologies, relevant to evaluation of cancer phenotype in screening assays and clinical biopsies. AIM Our objective was to determine quantitative epithelial and mesenchymal qualities of breast cancer cells through an unbiased, generalizable, and linear score covering the range of observed morphologies. APPROACH Digital holographic microscopy was used to generate phase height maps of noncancerous epithelial (Gie-No3B11) and fibroblast (human gingival) cell lines, as well as MDA-MB-231 and MCF-7 breast cancer cell lines. Several machine learning algorithms were evaluated as binary classifiers of the noncancerous cells that graded the cancer cells by transfer learning. RESULTS Epithelial and mesenchymal cells were classified with 96% to 100% accuracy. Breast cancer cells had scores in between the noncancer scores, indicating both epithelial and mesenchymal morphological qualities. The MCF-7 cells skewed toward epithelial scores, while MDA-MB-231 cells skewed toward mesenchymal scores. Linear support vector machines (SVMs) produced the most distinct score distributions for each cell line. CONCLUSIONS The proposed epithelial-mesenchymal score, derived from linear SVM learning, is a sensitive and quantitative approach for detecting epithelial and mesenchymal characteristics of unknown cells based on well-characterized cell lines. We establish a framework for rapid and accurate morphological evaluation of single cells and subtle phenotypic shifts in imaged cell populations.
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Affiliation(s)
- Van K. Lam
- The Catholic University of America, Department of Biomedical Engineering, Washington, DC, United States
| | - Thanh Nguyen
- The Catholic University of America, Department of Electrical Engineering and Computer Science, Washington, DC, United States
| | - Vy Bui
- The Catholic University of America, Department of Electrical Engineering and Computer Science, Washington, DC, United States
| | - Byung Min Chung
- The Catholic University of America, Department of Biology, Washington, DC, United States
| | - Lin-Ching Chang
- The Catholic University of America, Department of Electrical Engineering and Computer Science, Washington, DC, United States
| | - George Nehmetallah
- The Catholic University of America, Department of Electrical Engineering and Computer Science, Washington, DC, United States
| | - Christopher B. Raub
- The Catholic University of America, Department of Biomedical Engineering, Washington, DC, United States
- Address all correspondence to Christopher B. Raub, E-mail:
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Yu H, Jia S, Dong J, Huang D, Xu S. Phase curvature compensation in digital holographic microscopy based on phase gradient fitting and optimization. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2019; 36:D1-D6. [PMID: 31873360 DOI: 10.1364/josaa.36.0000d1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/19/2019] [Accepted: 08/20/2019] [Indexed: 06/10/2023]
Abstract
We propose a numerical method for phase curvature compensation in digital holographic microscopy, in which the phase curvature is compensated for by subtracting a numerical phase mask from the distorted phase. The parameters of the phase mask are obtained based on phase gradient fitting and optimization, in which the initial mask parameters are obtained by fitting the phase gradient, and then more accurate mask parameters are determined using a spectrum energy search. The compensation can be executed in a hologram without extra devices or any prior knowledge of the setup and specimen. A computer simulation and experimental results demonstrated the feasibility of the proposed method.
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20
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Doblas A, Buitrago-Duque C, Robinson A, Garcia-Sucerquia J. Phase-shifting digital holographic microscopy with an iterative blind reconstruction algorithm. APPLIED OPTICS 2019; 58:G311-G317. [PMID: 31873515 DOI: 10.1364/ao.58.00g311] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/16/2019] [Accepted: 10/14/2019] [Indexed: 06/10/2023]
Abstract
In phase-shifting digital holographic microscopy (PS-DHM), the reconstructed phase map is obtained after processing several holograms of the same scene with a phase shift between them. Most of the reconstruction algorithms in PS-DHM require an accurate and known phase shift between the recorded holograms. This requirement limits the applicability of the method. To ease the use of PS-DHM, this paper presents an iterative-blind phase shift extraction method based on demodulation of the different components of the recorded holograms. The method uses a DHM system operating in a slightly off-axis architecture. The proposed method uses three-frame holograms with arbitrary and unequal phase shifts between them and therefore eases the use of the PS-DHM. We believe both simulated and experimental results demonstrate the goodness and feasibility of the proposed technique.
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21
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Park SJ, Kim BM, Kim ES. Alignment-tolerant single-shot digital holographic microscopy based on computer-controlled telecentricity. APPLIED OPTICS 2019; 58:3260-3271. [PMID: 31044803 DOI: 10.1364/ao.58.003260] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2019] [Accepted: 03/24/2019] [Indexed: 06/09/2023]
Abstract
An alignment-tolerant telecentric digital holographic microscopy (AT-T-DHM) system based on computer-controlled telecentricity is proposed. It consists of a three-step process-optical recording, computational compensation, and retrieving processes. With a tube-lens-based two-beam interferometer, phase information of the object is recorded on the hologram, where another optical quadratic phase error (O-QPE) due to the misalignment of the tube lens happens to be added. In the computational compensation process, this phase error can be estimated, by which the O-QPE is balanced out from the recorded hologram. Then, only the phase information of the object can be retrieved from the O-QPE-compensated hologram. This computational compensation process makes the proposed system virtually operate in a telecentric imaging mode, which enables implementing a practical AT-T-DHM. Wave-optical analysis and experiments with a test object confirm the feasibility of the proposed system.
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22
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Jeon S, Lee JY, Cho J, Jang SH, Kim YJ, Park NC. Wavelength-multiplexed digital holography for quantitative phase measurement using quantum dot film. OPTICS EXPRESS 2018; 26:27305-27313. [PMID: 30469801 DOI: 10.1364/oe.26.027305] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2018] [Accepted: 09/28/2018] [Indexed: 06/09/2023]
Abstract
We propose an enhanced quantitative three-dimensional measurement system using wavelength-multiplexed digital holography. To simplify the configuration, a dual-peak quantum dot wavelength converter, combined with a blue LED, is adapted as a single low-coherence light source. Rather than a conventional dual-wavelength method, which records and reconstruct the object wave for each wavelength, the proposed system can capture the holograms of two wavelengths simultaneously with fewer acquisitions, simple setup, and low noise. To verify the system's performance, the measurements of the step height sample are presented.
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23
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Li S, Ma J, Chang C, Nie S, Feng S, Yuan C. Phase-shifting-free resolution enhancement in digital holographic microscopy under structured illumination. OPTICS EXPRESS 2018; 26:23572-23584. [PMID: 30184856 DOI: 10.1364/oe.26.023572] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2018] [Accepted: 08/23/2018] [Indexed: 06/08/2023]
Abstract
In this paper, we present a phase-shifting-free method to improve the resolution of digital holographic microscopy (DHM) under the structured illumination (SI). The SI used in the system is different from the traditional SI for it is free of the visible structure due to two illumination lights with orthogonal polarization states. To separate the recorded information and also retrieve the object phase, two reference beams with different carrier frequencies and orthogonal polarization states are adopted. The principle component analysis (PCA) algorithm is introduced in the reconstruction process. It is found that the modulated frequency of SI besides the quadratic phases of the imaging system can be easily removed with help of PCA. Therefore, phase-shifting is not required both in recording and reconstruction process. The simulation is performed to validate our method, while the proposed method is applied to the resolution enhancement for amplitude-contrast and phase-contrast objects imaging in experiments. The resolution is doubled in the simulation, and it shows 78% resolution improvement in the experiments.
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24
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Liu S, Lian Q, Qing Y, Xu Z. Automatic phase aberration compensation for digital holographic microscopy based on phase variation minimization. OPTICS LETTERS 2018; 43:1870-1873. [PMID: 29652386 DOI: 10.1364/ol.43.001870] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2018] [Accepted: 03/17/2018] [Indexed: 06/08/2023]
Abstract
We propose a numerical and totally automatic phase aberration compensation method in digital holographic microscopy. The phase aberrations are extracted in a nonlinear optimization procedure in which the phase variation of the reconstructed object wave is minimized. Not only phase curvature but also high-order aberrations could be corrected without extra devices. The correction is directly carried out with the wrapped phase map, which is not affected by phase unwrapping or fitting errors. Numerical simulation proves that the proposed method is more accurate than the conventional surface fitting method without selecting a cell-free background. Experimental results demonstrate the availability of the proposed method in real-time analysis of living cells.
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25
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Lam VK, Nguyen TC, Chung BM, Nehmetallah G, Raub CB. Quantitative assessment of cancer cell morphology and motility using telecentric digital holographic microscopy and machine learning. Cytometry A 2018; 93:334-345. [PMID: 29283496 PMCID: PMC8245299 DOI: 10.1002/cyto.a.23316] [Citation(s) in RCA: 30] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2017] [Revised: 11/22/2017] [Accepted: 12/06/2017] [Indexed: 12/18/2022]
Abstract
The noninvasive, fast acquisition of quantitative phase maps using digital holographic microscopy (DHM) allows tracking of rapid cellular motility on transparent substrates. On two-dimensional surfaces in vitro, MDA-MB-231 cancer cells assume several morphologies related to the mode of migration and substrate stiffness, relevant to mechanisms of cancer invasiveness in vivo. The quantitative phase information from DHM may accurately classify adhesive cancer cell subpopulations with clinical relevance. To test this, cells from the invasive breast cancer MDA-MB-231 cell line were cultured on glass, tissue-culture treated polystyrene, and collagen hydrogels, and imaged with DHM followed by epifluorescence microscopy after staining F-actin and nuclei. Trends in cell phase parameters were tracked on the different substrates, during cell division, and during matrix adhesion, relating them to F-actin features. Support vector machine learning algorithms were trained and tested using parameters from holographic phase reconstructions and cell geometric features from conventional phase images, and used to distinguish between elongated and rounded cell morphologies. DHM was able to distinguish between elongated and rounded morphologies of MDA-MB-231 cells with 94% accuracy, compared to 83% accuracy using cell geometric features from conventional brightfield microscopy. This finding indicates the potential of DHM to detect and monitor cancer cell morphologies relevant to cell cycle phase status, substrate adhesion, and motility. © 2017 International Society for Advancement of Cytometry.
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Affiliation(s)
- Van K. Lam
- Department of Biomedical Engineering, The Catholic University of America, Washington, DC 20064
| | - Thanh C. Nguyen
- Department of Electrical Engineering, The Catholic University of America, Washington, DC 20064
| | - Byung M. Chung
- Department of Biology, The Catholic University of America, Washington, DC 20064
| | - George Nehmetallah
- Department of Electrical Engineering, The Catholic University of America, Washington, DC 20064
| | - Christopher B. Raub
- Department of Biomedical Engineering, The Catholic University of America, Washington, DC 20064
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26
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Cao R, Xiao W, Wu X, Sun L, Pan F. Quantitative observations on cytoskeleton changes of osteocytes at different cell parts using digital holographic microscopy. BIOMEDICAL OPTICS EXPRESS 2018; 9:72-85. [PMID: 29359088 PMCID: PMC5772590 DOI: 10.1364/boe.9.000072] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2017] [Revised: 11/30/2017] [Accepted: 11/30/2017] [Indexed: 05/10/2023]
Abstract
Cytoskeletons such as F-actin have different distributions in different cell parts and they are the cause of different degrees of cell collapse when the F-actin is disrupted. It is challenging to use conventional methods such as fluorescence microscopy and atomic force microscopy to conduct real-time and three-dimensional observations on the dynamic processes at different cell parts due to the slow measuring speed and the need for live-cell staining. In this study, the morphological variations of different bone cell parts caused by F-actin disruption are dynamically measured by using digital holographic microscopy (DHM). We separately analyze local parameters (cell height and cell width) and global parameters (cell projected area and cell volume) of cells to address variations of specific cell areas and quantify the changing process of the whole cell. We found significant differences in temporal variations of both local and global cell parameters between the cell body and cell process, which is consistent with the qualitative observation by fluorescence staining. Our study not only validates the unique ability of DHM to simultaneously investigate the dynamic process at different cell parts, but also provides sufficient experimental bases for exploring the mechanism for F-actin disruption.
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Affiliation(s)
- Runyu Cao
- Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrumentation Science & Optoelectronics Engineering, Beihang University, Beijing, 100191, China
| | - Wen Xiao
- Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrumentation Science & Optoelectronics Engineering, Beihang University, Beijing, 100191, China
| | - Xintong Wu
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education, School of Biological Science and Medical Engineering, Beihang University, Beijing, 100191, China
| | - Lianwen Sun
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education, School of Biological Science and Medical Engineering, Beihang University, Beijing, 100191, China
| | - Feng Pan
- Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrumentation Science & Optoelectronics Engineering, Beihang University, Beijing, 100191, China
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27
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Castañeda R, Garcia-Sucerquia J. Single-shot 3D topography of reflective samples with digital holographic microscopy. APPLIED OPTICS 2018; 57:A12-A18. [PMID: 29328124 DOI: 10.1364/ao.57.000a12] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/2017] [Accepted: 09/24/2017] [Indexed: 06/07/2023]
Abstract
In this work, an off-axis digital holographic microscope operating in reflection mode and a telecentric regimen to produce 3D topography of a microscopy sample is shown. The main characteristics of the proposed method, which make it different from the previous works in the field, are the possibility of producing the 3D topography by a single shot over the complete field of view with sensitivity of λ/100, without phase perturbations introduced by the illuminating-imaging system, and with no further numerical processing beyond that required for recovering the phase map of the sample. A complete analysis of the illuminating-imaging system of the digital holographic microscope is presented. The proposed digital holographic microscope is tested on imaging a USAF resolution test target and some micro-electromechanical systems (MEMs).
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28
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Kim T, Visbal-Onufrak MA, Konger RL, Kim YL. Data-driven imaging of tissue inflammation using RGB-based hyperspectral reconstruction toward personal monitoring of dermatologic health. BIOMEDICAL OPTICS EXPRESS 2017; 8:5282-5296. [PMID: 29188120 PMCID: PMC5695970 DOI: 10.1364/boe.8.005282] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2017] [Revised: 10/19/2017] [Accepted: 10/19/2017] [Indexed: 05/05/2023]
Abstract
Sensitive and accurate assessment of dermatologic inflammatory hyperemia in otherwise grossly normal-appearing skin conditions is beneficial to laypeople for monitoring their own skin health on a regular basis, to patients for looking for timely clinical examination, and to primary care physicians or dermatologists for delivering effective treatments. We propose that mathematical hyperspectral reconstruction from RGB images in a simple imaging setup can provide reliable visualization of hemoglobin content in a large skin area. Without relying on a complicated, expensive, and slow hyperspectral imaging system, we demonstrate the feasibility of determining heterogeneous or multifocal areas of inflammatory hyperemia associated with experimental photocarcinogenesis in mice. We envision that RGB-based reconstructed hyperspectral imaging of subclinical inflammatory hyperemic foci could potentially be integrated with the built-in camera (RGB sensor) of a smartphone to develop a simple imaging device that could offer affordable monitoring of dermatologic health.
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Affiliation(s)
- Taehoon Kim
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN 47907, USA
| | | | - Raymond L. Konger
- Departments of Pathology & Laboratory Medicine and Dermatology, Indiana University School of Medicine, IN 46202, USA
| | - Young L. Kim
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN 47907, USA
- Regenstrief Center for Healthcare Engineering, Purdue University, West Lafayette, IN 47907, USA
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29
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Hawkins LJ, Storey KB. Improved high-throughput quantification of luminescent microplate assays using a common Western-blot imaging system. MethodsX 2017; 4:413-422. [PMID: 29124018 PMCID: PMC5671400 DOI: 10.1016/j.mex.2017.10.006] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2017] [Accepted: 10/17/2017] [Indexed: 11/30/2022] Open
Abstract
Common Western-blot imaging systems have previously been adapted to measure signals from luminescent microplate assays. This can be a cost saving measure as Western-blot imaging systems are common laboratory equipment and could substitute a dedicated luminometer if one is not otherwise available. One previously unrecognized limitation is that the signals captured by the cameras in these systems are not equal for all wells. Signals are dependent on the angle of incidence to the camera, and thus the location of the well on the microplate. Here we show that: •The position of a well on a microplate significantly affects the signal captured by a common Western-blot imaging system from a luminescent assay.•The effect of well position can easily be corrected for.•This method can be applied to commercially available luminescent assays, allowing for high-throughput quantification of a wide range of biological processes and biochemical reactions.
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Affiliation(s)
- Liam J Hawkins
- Institute of Biochemistry and Department of Biology, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario K1S 5B6, Canada
| | - Kenneth B Storey
- Institute of Biochemistry and Department of Biology, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario K1S 5B6, Canada
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30
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Guo R, Wang F. Compact and stable real-time dual-wavelength digital holographic microscopy with a long-working distance objective. OPTICS EXPRESS 2017; 25:24512-24520. [PMID: 29041395 DOI: 10.1364/oe.25.024512] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/2017] [Accepted: 09/22/2017] [Indexed: 06/07/2023]
Abstract
We propose a compact dual wavelength digital holographic Microscopy (DHM) based on a long working distance objective, which enabling quantitative phase imaging of opaque samples with extended measurement range in one shot. The compactness of the configuration is achieved by constructing a miniature modified Michelson interferometer between the objective and the sample, and as a result it provides higher temporal stability than conventional dual wavelength DHM. In the setup, the propagation directions of two reference beams of different wavelengths can be independently adjusted, and thus two off axis interferograms having orthogonal fringe directions can be simultaneously captured through a monochrome CCD camera. The unambiguous vertical measurement range in optical path length is extended to 8.338 μm, the length of a synthetic wavelength, by selecting two wavelengths with a gap of 52 nm. The capability of the proposed setup is demonstrated with measurements of a standard 1.8 μm height step as well as a moving micro staircase structure.
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31
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Deng D, Peng J, Qu W, Wu Y, Liu X, He W, Peng X. Simple and flexible phase compensation for digital holographic microscopy with electrically tunable lens. APPLIED OPTICS 2017; 56:6007-6014. [PMID: 29047923 DOI: 10.1364/ao.56.006007] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2017] [Accepted: 06/19/2017] [Indexed: 06/07/2023]
Abstract
In a digital holographic microscopy (DHM) system, different microscope objectives (MOs) will introduce different phase distortions and thus lead to measurement errors. To address this problem, we present a simple and flexible method to compensate all phase distortions by introducing an electrically tunable lens (ETL) in the reference arm for a DHM system with multiple MOs. By exactly controlling the external currents of the ETL, we can change the reference wave front to match the wave front introduced by different MOs without complex alignment or additional numerical postprocessing manipulations. This method is suitable for quantitative real-time phase imaging especially when it refers to multiple MOs. To demonstrate the validity and effectiveness of our scheme, we did a series of simulations and carried out some real experiments with two different MOs (4× and 10×).
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Kim BM, Park SJ, Kim ES. Single-shot digital holographic microscopy with a modified lateral-shearing interferometer based on computational telecentricity. OPTICS EXPRESS 2017; 25:6151-6168. [PMID: 28380970 DOI: 10.1364/oe.25.006151] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Single-shot digital holographic microscopy (SS-DHM) with a modified lateral-shearing interferometer (MLSI) based on computational telecentricity is proposed. The proposed system is composed of three-step processes such as optical recording, digital compensation and numerical reconstruction processes. In the 1st step, the object beam is optically recorded with the MLSI, where a tube lens is set to be located at the slightly shorter distance than its focal length from the objective lens. Then, another phase factor due to the deviated locating of the tube lens from its focal length is additionally generated, which is called an additional quadratic phase factor (AQPF). However, in the 2nd step, this AQPF can be balanced out with the computer-generated version of the AQPF. In the 3rd step, the three-dimensional (3-D) object can be finally reconstructed from this AQPF-compensated hologram. Thus, by combined use of the optical recording and digital compensation processes of the AQPF, the proposed system can be made virtually operate in a so-called computational telecentricity, which enables us to implement a MLSI-based SS-DHM system. Wave-optical analysis and successful experiments with actual 3-D objects confirm the feasibility of the proposed system in the practical application fields.
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Rawat S, Komatsu S, Markman A, Anand A, Javidi B. Compact and field-portable 3D printed shearing digital holographic microscope for automated cell identification. APPLIED OPTICS 2017; 56:D127-D133. [PMID: 28375380 DOI: 10.1364/ao.56.00d127] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We propose a low-cost, compact, and field-portable 3D printed holographic microscope for automated cell identification based on a common path shearing interferometer setup. Once a hologram is captured from the portable setup, a 3D reconstructed height profile of the cell is created. We extract several morphological cell features from the reconstructed 3D height profiles, including mean physical cell thickness, coefficient of variation, optical volume (OV) of the cell, projected area of the cell (PA), ratio of PA to OV, cell thickness kurtosis, cell thickness skewness, and the dry mass of the cell for identification using the random forest (RF) classifier. The 3D printed prototype can serve as a low-cost alternative for the developing world, where access to laboratory facilities for disease diagnosis are limited. Additionally, a cell phone sensor is used to capture the digital holograms. This enables the user to send the acquired holograms over the internet to a computational device located remotely for cellular identification and classification (analysis). The 3D printed system presented in this paper can be used as a low-cost, stable, and field-portable digital holographic microscope as well as an automated cell identification system. To the best of our knowledge, this is the first research paper presenting automatic cell identification using a low-cost 3D printed digital holographic microscopy setup based on common path shearing interferometry.
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Trujillo C, Castañeda R, Piedrahita-Quintero P, Garcia-Sucerquia J. Automatic full compensation of quantitative phase imaging in off-axis digital holographic microscopy. APPLIED OPTICS 2016; 55:10299-10306. [PMID: 28059249 DOI: 10.1364/ao.55.010299] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/20/2023]
Abstract
An automatic method that fully compensates the quantitative phase measurements in off-axis digital holographic microscopy (DHM) is presented. The two main perturbations of the quantitative phase measurements in off-axis DHM are automatically removed. While the curvature phase flaw introduced by the microscope objective is avoided by the use of an optimized telecentric imaging system for the recording of the holograms, the remaining phase perturbation due to the tilt of the reference wave is removed by the automatic computation of a digital compensating reference wave. The method has been tested on both nonbiological and biological samples with and improving on the quality of the recovered phase maps.
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Jeon S, Cho J, Jin JN, Park NC, Park YP. Dual-wavelength digital holography with a single low-coherence light source. OPTICS EXPRESS 2016; 24:18408-16. [PMID: 27505804 DOI: 10.1364/oe.24.018408] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
We propose a measurement system using dual-wavelength digital holography and low-coherence interferometry to measure micro- and nanostructure surface heights. To achieve an extended axial step-measurement range and better image quality, a single light-emitting diode generates two distinct light sources by filtering different center wavelengths and narrower bandwidths. The system can measure surface profile with higher step heights and lower speckle noise in a large field-of-view. Using single-source lighting and a simple configuration, the method supports compactly configured and lower-cost surface-topography measurement systems applicable in various fields. Experimental results for a standard step sample verify the system's performance.
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Nguyen T, Nehmetallah G, Raub C, Mathews S, Aylo R. Accurate quantitative phase digital holographic microscopy with single- and multiple-wavelength telecentric and nontelecentric configurations. APPLIED OPTICS 2016; 55:5666-83. [PMID: 27463923 DOI: 10.1364/ao.55.005666] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
In this work, we investigate, both theoretically and experimentally, single-wavelength and multiwavelength digital holographic microscopy (DHM) using telecentric and nontelecentric configurations in transmission and reflection modes. A single-wavelength telecentric imaging system in DHM was originally proposed to circumvent the residual parabolic phase distortion due to the microscope objective (MO) in standard nontelecentric DHM configurations. However, telecentric configurations cannot compensate for higher order phase aberrations. As an extension to the telecentric and nontelecentric arrangements in single-wavelength DHM (SW-DHM), we propose multiple-wavelength telecentric DHM (MW-TDHM) in reflection and transmission modes. The advantages of MW-TDHM configurations are to extend the vertical measurement range without phase ambiguity and optically remove the parabolic phase distortion caused by the MO in traditional MW-DHM. These configurations eliminate the need for a second reference hologram to subtract the two-phase maps and make digital automatic aberration compensation easier to apply compared to nontelecentric configurations. We also discuss a reconstruction algorithm that eliminates the zero-order and virtual images using spatial filtering and another algorithm that minimizes the intensity of fluctuations using apodization. In addition, we employ two polynomial models using 2D surface fitting to compensate digitally for chromatic aberration (in the multiwavelength case) and for higher order phase aberrations. A custom-developed user-friendly graphical user interface is employed to automate the reconstruction processes for all configurations. Finally, TDHM is used to visualize cells from the highly invasive MDA-MB-231 cultured breast cancer cells.
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Tranca DE, Sánchez-Ortiga E, Saavedra G, Martínez-Corral M, Tofail SAM, Stanciu SG, Hristu R, Stanciu GA. Mapping electron-beam-injected trapped charge with scattering scanning near-field optical microscopy. OPTICS LETTERS 2016; 41:1046-1049. [PMID: 26974112 DOI: 10.1364/ol.41.001046] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Scattering scanning near-field optical microscopy (s-SNOM) has been demonstrated as a valuable tool for mapping the optical and optoelectronic properties of materials with nanoscale resolution. Here we report experimental evidence that trapped electric charges injected by an electron beam at the surface of dielectric samples affect the sample-dipole interaction, which has direct impact on the s-SNOM image content. Nanoscale mapping of the surface trapped charge holds significant potential for the precise tailoring of the electrostatic properties of dielectric and semiconductive samples, such as hydroxyapatite, which has particular importance with respect to biomedical applications. The methodology developed here is highly relevant to semiconductor device fabrication as well.
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Visbal Onufrak MA, Konger RL, Kim YL. Telecentric suppression of diffuse light in imaging of highly anisotropic scattering media. OPTICS LETTERS 2016; 41:143-146. [PMID: 26696179 DOI: 10.1364/ol.41.000143] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
The telecentric lens, which was originally used in the machine vision industry, has often been utilized in biomedical imaging systems due to its commonly known properties, such as large transverse field of view, constant magnification, and long working distance. However, its potential advantages in optical imaging of biological tissue, which is highly diffusive, have not been fully explored. We revisit the idea that a telecentric lens system can bring an alternative yet simple method for reducing unwanted scattering or diffuse light in biological tissue, owing to its highly anisotropic scattering properties. Using biological tissue and tissue phantoms, we demonstrate advantages attributed to the use of telecentric lens in tissue imaging compared with imaging using conventional nontelecentric optics. Directional or angular gating (or filtering) using a telecentric lens is beneficial for removing a portion of diffuse light in highly anisotropic scattering media with high values of the scattering anisotropy factor. We envision that a telecentric lens could be potentially incorporated into an instrument of modest design and cost, increasing rapid practical adoption.
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Uttam S, Liu Y. Fourier phase in Fourier-domain optical coherence tomography. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2015; 32:2286-306. [PMID: 26831383 PMCID: PMC4741112 DOI: 10.1364/josaa.32.002286] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
Phase of an electromagnetic wave propagating through a sample-of-interest is well understood in the context of quantitative phase imaging in transmission-mode microscopy. In the past decade, Fourier-domain optical coherence tomography has been used to extend quantitative phase imaging to the reflection-mode. Unlike transmission-mode electromagnetic phase, however, the origin and characteristics of reflection-mode Fourier phase are poorly understood, especially in samples with a slowly varying refractive index. In this paper, the general theory of Fourier phase from first principles is presented, and it is shown that Fourier phase is a joint estimate of subresolution offset and mean spatial frequency of the coherence-gated sample refractive index. It is also shown that both spectral-domain phase microscopy and depth-resolved spatial-domain low-coherence quantitative phase microscopy are special cases of this general theory. Analytical expressions are provided for both, and simulations are presented to explain and support the theoretical results. These results are further used to show how Fourier phase allows the estimation of an axial mean spatial frequency profile of the sample, along with depth-resolved characterization of localized optical density change and sample heterogeneity. Finally, a Fourier phase-based explanation of Doppler optical coherence tomography is also provided.
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Doblas A, Roche E, Ampudia-Blasco FJ, Martínez-Corral M, Saavedra G, Garcia-Sucerquia J. Diabetes screening by telecentric digital holographic microscopy. J Microsc 2015; 261:285-90. [PMID: 26501512 DOI: 10.1111/jmi.12331] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2015] [Accepted: 09/15/2015] [Indexed: 02/04/2023]
Abstract
Diabetes is currently the world's fastest growing chronic disease and it is caused by deficient production of insulin by the endocrine pancreas or by abnormal insulin action in peripheral tissues. This results in persistent hyperglycaemia that over time may produce chronic diabetic complications. Determination of glycated haemoglobin level is currently the gold standard method to evaluate and control sustained hyperglycaemia in diabetic people. This measurement is currently made by high-performance liquid chromatography, which is a complex chemical process that requires the extraction of blood from the antecubital vein. To reduce the complexity of that measurement, we propose a fully-optical technique that is based in the fact that there are changes in the optical properties of erythrocytes due to the presence of glucose-derived adducts in the haemoglobin molecule. To evaluate these changes, we propose to perform quantitative phase maps of erythrocytes by using telecentric digital holographic microscopy. Our experiments show that telecentric digital holographic microscopy allows detecting, almost in real time and from a single drop of blood, significant differences between erythrocytes of diabetic patients and healthy patients. Besides, our phase measurements are well correlated with the values of glycated haemoglobin and the blood glucose values.
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Affiliation(s)
- A Doblas
- 3D Imaging and Display Laboratory, Department of Optics, University of Valencia, E-46100 Burjassot, Spain
| | - E Roche
- Department of Applied Biology-Nutrition, Institute of Bioengineering, University of Miguel Hernandez, E-03203 Elche, Spain
| | - F J Ampudia-Blasco
- Diabetes Reference Unit, Department of Endocrinology and Nutrition, Valencia Clinic University Hospital, E-46010 Valencia, Spain
| | - M Martínez-Corral
- 3D Imaging and Display Laboratory, Department of Optics, University of Valencia, E-46100 Burjassot, Spain
| | - G Saavedra
- 3D Imaging and Display Laboratory, Department of Optics, University of Valencia, E-46100 Burjassot, Spain
| | - J Garcia-Sucerquia
- School of Physics, Universidad Nacional de Colombia Sede Medellin, A.A: 3840-Medellin-050034-, Colombia
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Doblas A, Hincapie-Zuluaga D, Saavedra G, Martínez-Corral M, Garcia-Sucerquia J. Physical compensation of phase curvature in digital holographic microscopy by use of programmable liquid lens. APPLIED OPTICS 2015; 54:5229-5233. [PMID: 26192688 DOI: 10.1364/ao.54.005229] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Quantitative phase measurements obtained with digital holographic microscopes are strongly dependent on the optical arrangement of the imaging system. The nontelecentric operation provides phase measurements affected by a parabolic phase factor and requires numerical postprocessing, which does not always remove all the perturbation. Accurate phase measurements are achieved by using the imaging system in telecentric mode. Unfortunately, this condition is not accomplished when a commercial microscope is used as the imaging system. In this paper, we present an approach for obtaining accurate phase measurements in nontelecentric imaging systems without the need for numerical postprocessing. The method uses an electrically tunable liquid lens to illuminate the sample so that the perturbing parabolic wavefront is cancelled out. Experimental holograms of a Fresnel lens and a section of the thorax of a Drosophila melanogaster fly are captured to verify the proposed method.
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Sridharan S, Katz A, Soto-Adames F, Popescu G. Quantitative phase imaging of arthropods. JOURNAL OF BIOMEDICAL OPTICS 2015; 20:111212. [PMID: 26334858 PMCID: PMC4689101 DOI: 10.1117/1.jbo.20.11.111212] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2015] [Accepted: 07/06/2015] [Indexed: 06/05/2023]
Abstract
Classification of arthropods is performed by characterization of fine features such as setae and cuticles. An unstained whole arthropod specimen mounted on a slide can be preserved for many decades, but is difficult to study since current methods require sample manipulation or tedious image processing. Spatial light interference microscopy (SLIM) is a quantitative phase imaging (QPI) technique that is an add-on module to a commercial phase contrast microscope. We use SLIM to image a whole organism springtail Ceratophysella denticulata mounted on a slide. This is the first time, to our knowledge, that an entire organism has been imaged using QPI. We also demonstrate the ability of SLIM to image fine structures in addition to providing quantitative data that cannot be obtained by traditional bright field microscopy.
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Affiliation(s)
- Shamira Sridharan
- University of Illinois at Urbana-Champaign, Beckman Institute of Advanced Science and Technology, Quantitative Light Imaging Laboratory, Department of Bioengineering, 405 North Matthews Avenue, Urbana, Illinois 61801, United States
| | - Aron Katz
- University of Illinois at Urbana-Champaign, Department of Entomology, 606 East Healey Street, Champaign, Illinois 61820, United States
| | - Felipe Soto-Adames
- University of Illinois at Urbana-Champaign, Department of Entomology, 606 East Healey Street, Champaign, Illinois 61820, United States
| | - Gabriel Popescu
- University of Illinois at Urbana-Champaign, Beckman Institute of Advanced Science and Technology, Quantitative Light Imaging Laboratory, Department of Bioengineering, 405 North Matthews Avenue, Urbana, Illinois 61801, United States
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Iglesias I. Phase estimation from digital holograms without unwrapping. OPTICS EXPRESS 2014; 22:21340-21346. [PMID: 25321512 DOI: 10.1364/oe.22.021340] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Digital holography is a convenient method for determining the phase induced by transparent objects. When the phase change is higher than 2π, an unwrapping algorithm is needed to provide a useful phase map. In the presence of noise, this process is not trivial and not fully resolved. In this paper a procedure is proposed to circumvent the need for unwrapping by estimating the phase from its gradient, which is directly computed from the reconstructed field. Application of the method to digital holograms of microscopic samples is demonstrated.
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