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Vorbau R, Hulthén M, Omar A. Task-based image quality assessment of an intraoperative CBCT for spine surgery compared with conventional CT. Phys Med 2024; 124:103426. [PMID: 38986263 DOI: 10.1016/j.ejmp.2024.103426] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/21/2024] [Revised: 05/24/2024] [Accepted: 06/29/2024] [Indexed: 07/12/2024] Open
Abstract
PURPOSE To analyze the image quality of a novel, state-of-the art platform for CBCT image-guided spine surgery, focusing particularly on the dose-effectiveness compared with conventional CT (the gold standard for postoperative assessment). METHODS The ClarifEye platform (Philips Healthcare) with integrated augmented-reality surgical navigation, has been compared with a GE Revolution CT (GE Healthcare). The 3D spatial resolution (TTF) and noise (NPS) were evaluated considering relevant feature contrasts (200-900 HU) and background noise for differently sized patients (200-300 mm water-equivalent diameter). These measures were used to determine the noise equivalent quanta (NEQ) and observer model detectability. RESULTS The CBCT system exhibited a linear response with 50% TTF at 5.7 cycles/cm (10% TTF at 9.2 cycles/cm), and the axial noise power peaking at about 3.6 cycles/cm (average frequency of 4.1 cycles/cm). The noise magnitude and texture differed markedly compared to iteratively reconstructed CT images (GE ASiR-V). The CBCT system had 26% lower detectability for a high-frequency task (related to edge detection) compared with CT images reconstructed using the Bone kernel combined with ASiR-V 50%. Likewise, it had 18% lower detectability for low- and mid-frequency tasks compared with CT images reconstructed using the Standard kernel. This difference translates to 50%-80% higher CBCT imaging doses required to match the CT image quality. CONCLUSIONS The ClarifEye platform demonstrates intraoperative CBCT-imaging capabilities that under certain circumstances are comparable with conventional CT. However, due to limited dose-effectiveness, a trade-off between timeliness and radiation exposure must be considered if end-of-procedure CBCT is to replace postoperative CT.
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Affiliation(s)
- Robert Vorbau
- Medical Radiation Physics and Nuclear Medicine, Karolinska University Hospital, Stockholm, Sweden
| | - Markus Hulthén
- Medical Radiation Physics and Nuclear Medicine, Karolinska University Hospital, Stockholm, Sweden
| | - Artur Omar
- Medical Radiation Physics and Nuclear Medicine, Karolinska University Hospital, Stockholm, Sweden; Department of Clinical Science, Intervention and Technology, Karolinska Institutet, Sweden.
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Wang Z, Zhou H, Gu S, Xia Y, Liao H, Deng Y, Gao H. Dual-energy head cone-beam CT using a dual-layer flat-panel detector: Hybrid material decomposition and a feasibility study. Med Phys 2023; 50:6762-6778. [PMID: 37675888 DOI: 10.1002/mp.16711] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2023] [Revised: 08/16/2023] [Accepted: 08/18/2023] [Indexed: 09/08/2023] Open
Abstract
BACKGROUND Flat panel detector (FPD) based cone-beam computed tomography (CT) has made tremendous progress in the last two decades, with many new and advanced medical and industrial applications keeping emerging from diagnostic imaging and image guidance for radiotherapy and interventional surgery. The current cone-beam CT (CBCT), however, is still suboptimal for head CT scan which requires a high standard of image quality. While the dual-layer FPD technology is under extensive development and is promising to further advance CBCT from qualitative anatomic imaging to quantitative dual-energy CT, its potential of enabling head CBCT applications has not yet been fully investigated. PURPOSE The relatively moderate energy separation from the dual-layer FPD and the overall low signal level especially at the bottom-layer detector, could raise significant challenges in performing high-quality dual-energy material decomposition (MD). In this work, we propose a hybrid, physics and model guided, MD algorithm that attempts to fully use the detected x-ray signals and prior-knowledge behind head CBCT using dual-layer FPD. METHODS Firstly, a regular projection-domain MD is performed as initial results of our approach and for comparison as conventional method. Secondly, based on the combined projection, a dual-layer multi-material spectral correction (dMMSC) is applied to generate beam hardening free images. Thirdly, the dMMSC corrected projections are adopted as a physics-model based guidance to generate a hybrid MD. A set of physics experiments including fan-beam scan and cone-beam scan using a head phantom and a Gammex Multi-Energy CT phantom are conducted to validate our proposed approach. RESULTS The combined reconstruction could reduce noise by about 10% with no visible resolution degradation. The fan-beam studies on the Gammex phantom demonstrated an improved MD performance, with the averaged iodine quantification error for the 5-15 mg/ml iodine inserts reduced from about 5.6% to 3.0% by the hybrid method. On fan-beam scan of the head phantom, our proposed hybrid MD could significantly reduce the streak artifacts, with CT number nonuniformity (NU) in the selected regions of interest (ROIs) reduced from 23 Hounsfield Units (HU) to 4.2 HU, and the corresponding noise suppressed from 31 to 6.5 HU. For cone-beam scan, after scatter correction (SC) and cone-beam artifact reduction (CBAR), our approach can also significantly improve image quality, with CT number NU in the selected ROI reduced from 24.2 to 6.6 HU and the noise level suppressed from 22.1 to 8.2 HU. CONCLUSIONS Our proposed physics and model guided hybrid MD for dual-layer FPD based head CBCT can significantly improve the robustness of MD and suppress the low-signal artifact. This preliminary feasibility study also demonstrated that the dual-layer FPD is promising to enable head CBCT spectral imaging.
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Affiliation(s)
- Zhilei Wang
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
| | - Hao Zhou
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
| | - Shan Gu
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
| | - Yingxian Xia
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
| | - Haiyue Liao
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
| | - Yifan Deng
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
| | - Hewei Gao
- Department of Engineering Physics, Tsinghua University, Beijing, China
- Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing, China
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Valencia Lozano I, Shi M, Myronakis M, Baturin P, Fueglistaller R, Huber P, Lehmann M, Morf D, Ferguson D, Jacobson MW, Harris T, Berbeco RI, Williams CL. Frequency-dependent optimal weighting approach for megavoltage multilayer imagers. Phys Med Biol 2021; 66. [PMID: 33503603 DOI: 10.1088/1361-6560/abe051] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2020] [Accepted: 01/27/2021] [Indexed: 11/12/2022]
Abstract
Multi-layer imaging (MLI) devices improve the detective quantum efficiency (DQE) while maintaining the spatial resolution of conventional mega-voltage (MV) x-ray detectors for applications in radiotherapy. To date, only MLIs with identical detector layers have been explored. However, it may be possible to instead use different scintillation materials in each layer to improve the final image quality. To this end, we developed and validated a method for optimally combining the individual images from each layer of MLI devices that are built with heterogeneous layers. Two configurations were modeled within the GATE Monte Carlo package by stacking different layers of a terbium doped gadolinium oxysulfide Gd2O2S:Tb (GOS) phosphor and a LKH-5 glass scintillator. Detector response was characterized in terms of the modulation transfer function (MTF), normalized noise power spectrum (NNPS) and DQE. Spatial frequency-dependent weighting factors were then analytically derived for each layer such that the total DQE of the summed combination image would be maximized across all spatial modes. The final image is obtained as the weighted sum of the sub-images from each layer. Optimal weighting factors that maximize the DQE were found to be the quotient of MTF and NNPS of each layer in the heterogeneous MLI detector. Results validated the improvement of the DQE across the entire frequency domain. For the LKH-5 slab configuration, DQE(0) increases between 2%-3% (absolute), while the corresponding improvement for the LKH-5 pixelated configuration was 7%. The performance of the weighting method was quantitatively evaluated with respect to spatial resolution, contrast-to-noise ratio (CNR) and signal-to-noise ratio (SNR) of simulated planar images of phantoms at 2.5 and 6 MV. The line pair phantom acquisition exhibited a twofold increase in CNR and SNR, however MTF was degraded at spatial frequencies greater than 0.2 lp mm-1. For the Las Vegas phantom, the weighting improved the CNR by around 30% depending on the contrast region while the SNR values are higher by a factor of 2.5. These results indicate that the imaging performance of MLI systems can be enhanced using the proposed frequency-dependent weighting scheme. The CNR and SNR of the weighted combined image are improved across all spatial scales independent of the detector combination or photon beam energy.
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Affiliation(s)
- Ingrid Valencia Lozano
- Department of Radiation Oncology, Brigham and Women's Hospital, Dana Farber Cancer Institute and Harvard Medical School, Boston, MA, United States of America
| | - Mengying Shi
- Department of Radiation Oncology, Brigham and Women's Hospital, Dana Farber Cancer Institute and Harvard Medical School, Boston, MA, United States of America.,Department of Physics and Applied Physics, University of Massachusetts Lowell, Lowell, MA, United States of America
| | - Marios Myronakis
- Department of Radiation Oncology, Brigham and Women's Hospital, Dana Farber Cancer Institute and Harvard Medical School, Boston, MA, United States of America
| | - Paul Baturin
- Varian Medical Systems, Palo Alto, CA, United States of America
| | | | | | | | | | - Dianne Ferguson
- Department of Radiation Oncology, Brigham and Women's Hospital, Dana Farber Cancer Institute and Harvard Medical School, Boston, MA, United States of America
| | - Matthew W Jacobson
- Department of Radiation Oncology, Brigham and Women's Hospital, Dana Farber Cancer Institute and Harvard Medical School, Boston, MA, United States of America
| | - Thomas Harris
- Varian Medical Systems, Palo Alto, CA, United States of America
| | - Ross I Berbeco
- Varian Medical Systems, Palo Alto, CA, United States of America
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Harris TC, Seco J, Ferguson D, Lehmann M, Huber P, Shi M, Jacobson M, Valencia Lozano I, Myronakis M, Baturin P, Fueglistaller R, Morf D, Berbeco R. Clinical translation of a new flat-panel detector for beam's-eye-view imaging. Phys Med Biol 2020; 65:225004. [PMID: 33284786 PMCID: PMC9142212 DOI: 10.1088/1361-6560/abb571] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
Electronic portal imaging devices (EPIDs) lend themselves to beams-eye view clinical applications, such as tumor tracking, but are limited by low contrast and detective quantum efficiency (DQE). We characterize a novel EPID prototype consisting of multiple layers and investigate its suitability for use under clinical conditions. A prototype multi-layer imager (MLI) was constructed utilizing four conventional EPID layers, each consisting of a copper plate, a Gd2O2S:Tb phosphor scintillator, and an amorphous silicon flat panel array detector. We measured the detector's response to a 6 MV photon beam with regards to modulation transfer function, noise power spectrum, DQE, contrast-to-noise ratio (CNR), signal-to-noise ratio (SNR), and the linearity of the detector's response to dose. Additionally, we compared MLI performance to the single top layer of the MLI and the standard Varian AS-1200 detector. Pre-clinical imaging was done on an anthropomorphic phantom, and the detector's CNR, SNR and spatial resolution were assessed in a clinical environment. Images obtained from spine and liver patient treatment deliveries were analyzed to verify CNR and SNR improvements. The MLI has a DQE(0) of 9.7%, about 5.7 times the reference AS-1200 detector. Improved noise performance largely drives the increase. CNR and SNR of clinical images improved three-fold compared to reference. A novel MLI was characterized and prepared for clinical translation. The MLI substantially improved DQE and CNR performance while maintaining the same resolution. Pre-clinical tests on an anthropomorphic phantom demonstrated improved performance as predicted theoretically. Preliminary patient data were analyzed, confirming improved CNR and SNR. Clinical applications are anticipated to include more accurate soft tissue tracking.
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Affiliation(s)
- T C Harris
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
- BioMedical Physics in Radiation Oncology, DKFZ, Heidelberg, Germany
- Department of Physics, University of Heidelberg, Heidelberg, Germany
| | - J Seco
- BioMedical Physics in Radiation Oncology, DKFZ, Heidelberg, Germany
- Department of Physics, University of Heidelberg, Heidelberg, Germany
| | - D Ferguson
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
| | - M Lehmann
- Varian Medical Systems, Baden-Dattwil, Switzerland
| | - P Huber
- Varian Medical Systems, Baden-Dattwil, Switzerland
| | - M Shi
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
- University of Massachusetts Lowell, Lowell, MA, United States of America
| | - M Jacobson
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
| | - I Valencia Lozano
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
| | - M Myronakis
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
| | - P Baturin
- Varian Medical System, Palo Alto, CA, United States of America
| | | | - D Morf
- Varian Medical Systems, Baden-Dattwil, Switzerland
| | - R Berbeco
- Department of Radiation Oncology, Dana Farber/Brigham and Women's Cancer Center, Harvard Medical school, Boston, MA, United States of America
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Murphy CM, Ramoso LR, Monroe EJ. XperCT Sharpening Reconstruction for Cone-Beam Computed Tomography Guided Lung and Bone Interventions. JOURNAL OF CLINICAL INTERVENTIONAL RADIOLOGY ISVIR 2020. [DOI: 10.1055/s-0040-1705265] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022] Open
Abstract
AbstractC-arm cone-beam computed tomography (CBCT) is a valuable tool for three-dimensional navigation and mapping in the interventional radiology suite owing to its flexible gantry positioning, real-time three-dimensional volume acquisition, and reduced contrast and radiation use. Reports of CBCT-guided bone and lung interventions are relatively infrequent, however, possibly due in part to the lack of dedicated bone and lung reconstruction algorithms and concerns regarding insufficient lesion conspicuity. Two cases of an ad hoc intraprocedural CBCT sharpening reconstruction are presented in this article.
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Affiliation(s)
- Christopher M. Murphy
- Division of Interventional Radiology, Department of Radiology, Seattle Children’s Hospital, Seattle, Washington, United States
| | - L. Ray Ramoso
- Division of Interventional Radiology, Department of Radiology, Seattle Children’s Hospital, Seattle, Washington, United States
| | - Eric J. Monroe
- Division of Interventional Radiology, Department of Radiology, Seattle Children’s Hospital, Seattle, Washington, United States
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Myronakis M, Huber P, Lehmann M, Fueglistaller R, Jacobson M, Hu Y, Baturin P, Wang A, Shi M, Harris T, Morf D, Berbeco R. Low‐dose megavoltage cone‐beam computed tomography using a novel multi‐layer imager (MLI). Med Phys 2020; 47:1827-1835. [DOI: 10.1002/mp.14017] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2019] [Revised: 01/06/2020] [Accepted: 01/07/2020] [Indexed: 12/27/2022] Open
Affiliation(s)
- Marios Myronakis
- Department of Radiation Oncology Dana Farber/Brigham and Women's Cancer Center Harvard Medical School Boston MA 02115USA
| | | | | | | | - Matthew Jacobson
- Department of Radiation Oncology Dana Farber/Brigham and Women's Cancer Center Harvard Medical School Boston MA 02115USA
| | - Yue‐Houng Hu
- Department of Radiation Oncology Dana Farber/Brigham and Women's Cancer Center Harvard Medical School Boston MA 02115USA
| | - Paul Baturin
- Varian Medical Systems Palo Alto CA 94304‐1030USA
| | - Adam Wang
- Varian Medical Systems Palo Alto CA 94304‐1030USA
- Radiological Sciences Laboratory Stanford University Stanford CA 94305USA
| | - Mengying Shi
- Department of Radiation Oncology Dana Farber/Brigham and Women's Cancer Center Harvard Medical School Boston MA 02115USA
- Department of Radiation Oncology University of Massachusetts Lowell MA USA
| | - Thomas Harris
- Department of Radiation Oncology Dana Farber/Brigham and Women's Cancer Center Harvard Medical School Boston MA 02115USA
| | - Daniel Morf
- Varian Medical Systems Baden CH‐5405Switzerland
| | - Ross Berbeco
- Department of Radiation Oncology Dana Farber/Brigham and Women's Cancer Center Harvard Medical School Boston MA 02115USA
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7
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Sajja S, Lee Y, Eriksson M, Nordström H, Sahgal A, Hashemi M, Mainprize JG, Ruschin M. Technical Principles of Dual-Energy Cone Beam Computed Tomography and Clinical Applications for Radiation Therapy. Adv Radiat Oncol 2020; 5:1-16. [PMID: 32051885 PMCID: PMC7004939 DOI: 10.1016/j.adro.2019.07.013] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2019] [Revised: 05/21/2019] [Accepted: 07/20/2019] [Indexed: 02/06/2023] Open
Abstract
PURPOSE Medical imaging is an indispensable tool in radiotherapy for dose planning, image guidance and treatment monitoring. Cone beam CT (CBCT) is a low dose imaging technique with high spatial resolution capability as a direct by-product of using flat-panel detectors. However, certain issues such as x-ray scatter, beam hardening and other artifacts limit its utility to the verification of patient positioning using image-guided radiotherapy. METHODS AND MATERIALS Dual-energy (DE)-CBCT has recently demonstrated promise as an improved tool for tumor visualization in benchtop applications. It has the potential to improve soft-tissue contrast and reduce artifacts caused by beam hardening and metal. In this review, the practical aspects of developing a DE-CBCT based clinical and technical workflow are presented based on existing DE-CBCT literature and concepts adapted from the well-established library of work in DE-CT. Furthermore, the potential applications of DE-CBCT on its future role in radiotherapy are discussed. RESULTS AND CONCLUSIONS Based on current literature and an investigation of future applications, there is a clear potential for DE-CBCT technologies to be incorporated into radiotherapy. The applications of DE-CBCT include (but are not limited to): adaptive radiotherapy, brachytherapy, proton therapy, radiomics and theranostics.
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Affiliation(s)
- Shailaja Sajja
- Sunnybrook Research Institute, Toronto, Ontario, Canada
- QIPCM Imaging Core Lab, Techna Institute, Toronto, Ontario, Canada
| | - Young Lee
- Department of Radiation Oncology, Sunnybrook Health Sciences Centre, University of Toronto, Toronto, Ontario, Canada
| | | | | | - Arjun Sahgal
- Department of Radiation Oncology, Sunnybrook Health Sciences Centre, University of Toronto, Toronto, Ontario, Canada
| | | | | | - Mark Ruschin
- Department of Radiation Oncology, Sunnybrook Health Sciences Centre, University of Toronto, Toronto, Ontario, Canada
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Liu J, Xu Y, Teymurazyan A, Papandreou Z, Pang G. Development of a novel high quantum efficiency MV x-ray detector for image-guided radiotherapy: A feasibility study. Med Phys 2019; 47:152-163. [PMID: 31682020 PMCID: PMC7003972 DOI: 10.1002/mp.13900] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/30/2019] [Revised: 10/23/2019] [Accepted: 10/23/2019] [Indexed: 12/31/2022] Open
Abstract
Purpose To develop a new scintillating fiber‐based electronic portal imaging device (EPID) with a high quantum efficiency (QE) while preserving an adequate spatial resolution. Methods Two prototypes were built: one with a single pixel readout and the other with an active matrix flat‐panel imager (AMFPI) for readout. The energy conversion layer of both prototypes was made of scintillating fiber layers interleaved with corrugated lead sheets to form a honeycomb pattern. The scintillating fibers have a diameter of 1 mm and the distance between the centers of neighboring fibers on the same layer is 1.35 mm. The layers have 1.22 mm spacing between them. The energy conversion layer has a thickness of 2 cm. The modulation transfer function (MTF), antiscatter properties and sensitivity of the detector with a single pixel readout were measured using a 6‐MV beam on a LINAC machine. In addition, a Monte Carlo simulation was conducted to calculate the zero‐frequency detective quantum efficiency (DQE(0)) of the proposed detector with an active matrix flat‐panel imager for readout. Results The DQE(0) of the proposed detector can be 11.5%, which is about an order of magnitude higher than that of current EPIDs. The frequency of 50% modulation (f50) of the measured MTF is 0.2 mm-1 at 6 MV, which is comparable to that of video‐based EPIDs. The scatter to primary ratio (SPR) measured with the detector at 10 cm air gap and 20 × 20 cm2 field size is approximately 30% lower than that of ionization chamber–based detectors with a comparable QE. The detector noise which includes the x‐ray quantum noise and absorption noise is much larger than the electronic noise per pixel of the flat‐panel imager at a dose of less than two LINAC pulses. Thus, the proposed detector is quantum noise limited down to very low doses (∼a couple of radiation pulses of the LINAC). A proof‐of‐concept image has been obtained using a 6‐MV beam. Conclusions This work indicates that by using scintillating fibers and lead layers it is possible to increase the thickness of the detecting materials, and therefore the QE or the DQE(0) of the detector, while maintaining an adequate spatial resolution for MV x‐ray imaging. Due to the use of lead as the spacing material, the new detector also has antiscatter property, which will help improve the signal‐to‐noise ratio of the images. Further investigation to optimize the design of the detector and achieve a better combination of DQE and spatial resolution is warranted.
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Affiliation(s)
- Jian Liu
- Department of Physics, Ryerson University, Toronto, Ontario, M5B 2K3, Canada
| | - Yuan Xu
- Department of Physics, Ryerson University, Toronto, Ontario, M5B 2K3, Canada
| | - Aram Teymurazyan
- Department of Physics, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada
| | - Zisis Papandreou
- Department of Physics, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada
| | - Geordi Pang
- Department of Physics, Ryerson University, Toronto, Ontario, M5B 2K3, Canada.,Odette Cancer Centre, Department of Radiation Oncology, University of Toronto, Toronto, Ontario, M4N 3M5, Canada
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