1
|
Behnsen JG, Black K, Houghton JE, Worden RH. A Review of Particle Size Analysis with X-ray CT. MATERIALS (BASEL, SWITZERLAND) 2023; 16:1259. [PMID: 36770266 PMCID: PMC9920517 DOI: 10.3390/ma16031259] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/13/2022] [Revised: 01/19/2023] [Accepted: 01/26/2023] [Indexed: 06/18/2023]
Abstract
Particle size and morphology analysis is a problem common to a wide range of applications, including additive manufacturing, geological and agricultural materials' characterisation, food manufacturing and pharmaceuticals. Here, we review the use of microfocus X-ray computed tomography (X-ray CT) for particle analysis. We give an overview of different sample preparation methods, image processing protocols, the morphology parameters that can be determined, and types of materials that are suitable for analysis of particle sizes using X-ray CT. The main conclusion is that size and shape parameters can be determined for particles larger than approximately 2 to 3 μm, given adequate resolution of the X-ray CT setup. Particles composed of high atomic number materials (Z > 40) require careful sample preparation to ensure X-ray transmission. Problems occur when particles with a broad range of sizes are closely packed together, or when particles are fused (sintered or cemented). The use of X-ray CT for particle size analysis promises to become increasingly widespread, offering measurements of size, shape, and porosity of large numbers of particles within one X-ray CT scan.
Collapse
Affiliation(s)
- Julia G. Behnsen
- School of Engineering, University of Liverpool, Liverpool L69 3GH, UK
| | - Kate Black
- School of Engineering, University of Liverpool, Liverpool L69 3GH, UK
| | - James E. Houghton
- Department of Earth, Ocean and Ecological Science, University of Liverpool, Liverpool L69 3GH, UK
| | - Richard H. Worden
- Department of Earth, Ocean and Ecological Science, University of Liverpool, Liverpool L69 3GH, UK
| |
Collapse
|
2
|
Evans LM, Sözümert E, Keenan BE, Wood CE, du Plessis A. A Review of Image-Based Simulation Applications in High-Value Manufacturing. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING : STATE OF THE ART REVIEWS 2023; 30:1495-1552. [PMID: 36685137 PMCID: PMC9847465 DOI: 10.1007/s11831-022-09836-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 04/08/2022] [Accepted: 10/15/2022] [Indexed: 06/17/2023]
Abstract
Image-Based Simulation (IBSim) is the process by which a digital representation of a real geometry is generated from image data for the purpose of performing a simulation with greater accuracy than with idealised Computer Aided Design (CAD) based simulations. Whilst IBSim originates in the biomedical field, the wider adoption of imaging for non-destructive testing and evaluation (NDT/NDE) within the High-Value Manufacturing (HVM) sector has allowed wider use of IBSim in recent years. IBSim is invaluable in scenarios where there exists a non-negligible variation between the 'as designed' and 'as manufactured' state of parts. It has also been used for characterisation of geometries too complex to accurately draw with CAD. IBSim simulations are unique to the geometry being imaged, therefore it is possible to perform part-specific virtual testing within batches of manufactured parts. This novel review presents the applications of IBSim within HVM, whereby HVM is the value provided by a manufactured part (or conversely the potential cost should the part fail) rather than the actual cost of manufacturing the part itself. Examples include fibre and aggregate composite materials, additive manufacturing, foams, and interface bonding such as welding. This review is divided into the following sections: Material Characterisation; Characterisation of Manufacturing Techniques; Impact of Deviations from Idealised Design Geometry on Product Design and Performance; Customisation and Personalisation of Products; IBSim in Biomimicry. Finally, conclusions are drawn, and observations made on future trends based on the current state of the literature.
Collapse
Affiliation(s)
- Llion Marc Evans
- Faculty of Science and Engineering, Swansea University, Swansea, SA1 8EN UK
- United Kingdom Atomic Energy Authority, Culham Science Centre, Abingdon, Oxfordshire OX14 3DB UK
| | - Emrah Sözümert
- Faculty of Science and Engineering, Swansea University, Swansea, SA1 8EN UK
| | - Bethany E. Keenan
- Cardiff School of Engineering, Cardiff University, Cardiff, CF24 3AA UK
| | - Charles E. Wood
- School of Mechanical & Design Engineering, University of Portsmouth, Portsmouth, PO1 3DJ UK
| | - Anton du Plessis
- Object Research Systems, Montreal, H3B 1A7 Canada
- Research Group 3DInnovation, Stellenbosch University, Stellenbosch, 7602 South Africa
| |
Collapse
|
3
|
Yang J, Qiu Y. Comparative study on mineral dissemination characteristics of phosphate ores by X-ray micro computed tomography and BGRIMM Process Mineralogy Analysis. Sci Rep 2022; 12:21122. [PMID: 36476655 PMCID: PMC9729205 DOI: 10.1038/s41598-022-24671-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2022] [Accepted: 11/18/2022] [Indexed: 12/12/2022] Open
Abstract
Because the 2D (two-dimensional) characterization analysis of mineral dissemination characteristics requires complex sample preparation, destroys the sample structure, and produces stereological errors, a new method for analyzing mineral dissemination characteristics in the ore in situ, non-destructively and stereoscopically, is required. The research object in this paper is a medium-low grade calcareous-magnesium phosphate ore in Guizhou, and XMT (X-ray microtomography) and BPMA (BGRIMM Process Mineralogy Analysis) are used to conduct a comparative study of 3D (three-dimensional) and 2D analysis of mineral dissemination characteristics. The results of grain size analysis show that fluorapatite and gangue minerals belong to equal-grain dissemination, with very little fine particle content. The results of 2D analysis are finer than those of 3D analysis, but 3D non-destructive analysis produces more accurate results. In addition to particle size analysis, the binding relationship between minerals analysis results show that, when compared to the 2D distribution of minerals, 3D visualization can more intuitively and stereoscopically observe the distribution of minerals inside the ore and the intergrowth relationship between minerals. Through comparative study, it can be seen that the application of 3D visualization has developed a new method for the study of mineral dissemination characteristics, which makes up for the shortcomings of 2D analysis.
Collapse
Affiliation(s)
- Jun Yang
- School of Mining, Guizhou University, Guiyang, 550025, China
- National & Local Joint Laboratory of Engineering for Effective Utilization of Regional Mineral Resources From Karst Areas, Guiyang, 550025, China
- Guizhou Key Laboratory of Comprehensive Utilization of Non-Metallic Mineral Resources, Guiyang, 550025, China
| | - Yueqin Qiu
- School of Mining, Guizhou University, Guiyang, 550025, China.
- National & Local Joint Laboratory of Engineering for Effective Utilization of Regional Mineral Resources From Karst Areas, Guiyang, 550025, China.
- Guizhou Key Laboratory of Comprehensive Utilization of Non-Metallic Mineral Resources, Guiyang, 550025, China.
| |
Collapse
|
4
|
Buchwald T, Ditscherlein R, Peuker UA. Beschreibung von Trennoperationen mit mehrdimensionalen Partikeleigenschaftsverteilungen. CHEM-ING-TECH 2022. [DOI: 10.1002/cite.202200109] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/02/2022]
Affiliation(s)
- Thomas Buchwald
- Technische Universität Bergakademie Freiberg Institut für Mechanische Verfahrenstechnik und Aufbereitungstechnik MVTAT Agricolastraße 1 09599 Freiberg Deutschland
| | - Ralf Ditscherlein
- Technische Universität Bergakademie Freiberg Institut für Mechanische Verfahrenstechnik und Aufbereitungstechnik MVTAT Agricolastraße 1 09599 Freiberg Deutschland
| | - Urs A. Peuker
- Technische Universität Bergakademie Freiberg Institut für Mechanische Verfahrenstechnik und Aufbereitungstechnik MVTAT Agricolastraße 1 09599 Freiberg Deutschland
| |
Collapse
|
5
|
Li B, Liu Y, Peng S, Gui N, Yang X, Tu J, Jiang S. Solid-Flow Pattern for Free Drainage in MPBAC Based on Whole-Field Residence Time Distribution. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c01926] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Bin Li
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Yujia Liu
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Sifan Peng
- China Ship Research and Development Academy, Beijing 100101, China
| | - Nan Gui
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Xingtuan Yang
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
| | - Jiyuan Tu
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
- School of Engineering, RMIT University, Melbourne, VIC 3083, Australia
| | - Shengyao Jiang
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China
| |
Collapse
|
6
|
Cui X, Li B, Gui N, Liu X, Yang X, Tu J, Jiang S. Experimental study of free drainage of mixed cubic and spherical particles in a monolayer granular system. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2022.117826] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
|
7
|
Kusano T, Yokota M, Yonaga A, Akimoto Y, Tani M, Nakamura H, Matsunaga T. Shear properties and water connectivity of wet granules at high solid content concentration. ADV POWDER TECHNOL 2022. [DOI: 10.1016/j.apt.2022.103585] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
8
|
|
9
|
|
10
|
Ditscherlein R, Furat O, Löwer E, Mehnert R, Trunk R, Leißner T, Krause MJ, Schmidt V, Peuker UA. PARROT: A Pilot Study on the Open Access Provision of Particle-Discrete Tomographic Datasets. MICROSCOPY AND MICROANALYSIS : THE OFFICIAL JOURNAL OF MICROSCOPY SOCIETY OF AMERICA, MICROBEAM ANALYSIS SOCIETY, MICROSCOPICAL SOCIETY OF CANADA 2022; 28:1-11. [PMID: 35039098 DOI: 10.1017/s143192762101391x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
In the present paper, as part of an interdisciplinary research project (Priority Programme SPP2045), we propose a possible way to design an open access archive for particle-discrete tomographic datasets: the PARROT database (https://parrot.tu-freiberg.de). This archive is the result of a pilot study in the field of particle technology and three use cases are presented for illustrative purposes. Instead of providing a detailed instruction manual, we focus on the methodologies of such an archive. The presented use cases stem from our working group and are intended to demonstrate the advantage of using such an archive with concise and consistent data for potential and ongoing studies. Data and metadata merely serve as examples and need to be adapted for disciplines not concerned here. Since all datasets within the PARROT database and its source code are freely accessible, this study represents a starting point for similar projects.
Collapse
Affiliation(s)
- Ralf Ditscherlein
- Institute of Mechanical Process Engineering and Mineral Processing, Technische Universitßt Bergakademie Freiberg, D-09599Freiberg, Germany
| | - Orkun Furat
- Institute of Stochastics, Ulm University, D-89069Ulm, Germany
| | - Erik Löwer
- Institute of Mechanical Process Engineering and Mineral Processing, Technische Universitßt Bergakademie Freiberg, D-09599Freiberg, Germany
| | - Raik Mehnert
- Mehnert IT Services, Schmiedestraße 7, D-09599Freiberg, Germany
| | - Robin Trunk
- Institute of Mechanical Process Engineering and Mechanics, Karlsruher Institute for Technology (KIT), Straße am Forum 8, D-76131Karlsruhe, Germany
| | - Thomas Leißner
- Institute of Mechanical Process Engineering and Mineral Processing, Technische Universitßt Bergakademie Freiberg, D-09599Freiberg, Germany
| | - Mathias J Krause
- Institute of Mechanical Process Engineering and Mechanics, Karlsruher Institute for Technology (KIT), Straße am Forum 8, D-76131Karlsruhe, Germany
| | - Volker Schmidt
- Institute of Stochastics, Ulm University, D-89069Ulm, Germany
| | - Urs A Peuker
- Institute of Mechanical Process Engineering and Mineral Processing, Technische Universitßt Bergakademie Freiberg, D-09599Freiberg, Germany
| |
Collapse
|
11
|
Preparation strategy for statistically significant micrometer-sized particle systems suitable for correlative 3D imaging workflows on the example of X-ray microtomography. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2021.09.038] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
|
12
|
The use of X-ray microtomography to investigate the microstructure of pharmaceutical tablets: Potentials and comparison to common physical methods. INTERNATIONAL JOURNAL OF PHARMACEUTICS-X 2021; 3:100090. [PMID: 34377974 PMCID: PMC8327351 DOI: 10.1016/j.ijpx.2021.100090] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/06/2021] [Accepted: 07/07/2021] [Indexed: 11/21/2022]
Abstract
Within this study, tablets microstructure was investigated by X-ray microtomgraphy. The aim was to gain information about their microstructure, and thus, derive deeper interpretation of tablet properties (mechanical strength, component distribution) and qualified property functions. Challenges in image processing are discussed for the correct identification of solids and voids. Furthermore, XMT measurements are critically compared with complementary physical methods for characterizing active pharmaceutical ingredient (API) content and porosity and its distribution (mercury porosimetry, calculated tablet porosity, Focused Ion Beam-Scanning Electron Microscopy (FIB-SEM)). The derived porosity by XMT is generally lower than the calculated porosity based on geometrical data due to the resolution of the XMT in relation to the pore sizes in tablets. With rising compactions stress and API concentration, deviations between the actual and the calculated API decrease. XMT showed that API clusters are present for all tablets containing >1 wt% of ibuprofen. The 3D orientation of the components is assessable by deriving cord lengths along all dimensions of the tablets. An increasing compaction stress leads to rising cord lengths, showing higher connectivity of the respective material. Its lesser extent in the z-direction illustrates the anisotropy of the compaction process. Additionally, cracks in the fabric are identified in tablets without visible macroscopic damage. Finally, the application of XMT provides valuable structural insights if its limitations are taken into account and its strengths are fostered by advanced pre- and post-processing.
Collapse
|
13
|
Curto M, Kao AP, Keeble W, Tozzi G, Barber AH. X-ray computed tomography evaluations of additive manufactured multimaterial composites. J Microsc 2021; 285:131-143. [PMID: 34057229 DOI: 10.1111/jmi.13034] [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: 06/22/2020] [Revised: 05/18/2021] [Accepted: 05/18/2021] [Indexed: 02/01/2023]
Abstract
Additive Manufacturing (AM) often produces complex engineered structures by precisely distributing materials in a layer-by-layer fashion. Multimaterial AM is a particularly flexible technique able to combine a range of hard and soft materials to produce designed composites. Critically, the design of AM multimaterial structures requires the development of precise three-dimensional (3D) computed aided design (CAD) files. While such digital design is heavily used, techniques able to validate the physically manufactured composite against the digital design from which it is generated are lacking for AM, especially as any evaluations must be able to distinguish material variation across the 3D space. Nowadays, there is a growing interest in volumetric tools that can provide topological information hidden by the surface of shaped materials. So far, technologies such as Optical microscopy (OM), Scanning Electron Microscopy (SEM), and Coordinate Measuring Machine (CMM) have paved the way into the metrology field to measure the external geometry of physical objects. Currently, alongside conventional metrology tools, X-ray computed tomography (XCT) is emerging to measure the subsurface of the objects but maintaining the integrity of the probed samples. Thereby, the volumetric nature of the XCT investigations and its associated imaging techniques, ensure 3D quantitative measurements comparable to the output data from 2D metrology tools, but above all, supply the missing subsurface description for an exhaustive metrology study. The reward associated with XCT applied to multimaterial AM is a map reflecting the fabricated distribution of materials following CAD, with the benefits of better understanding the mechanical interplay within phases, hence, describing the hidden processes as well as the changes in phases due to a range of mechanical or chemical phenomena. In this study, a nondestructive approach using X-ray computed tomography (XCT) is used to fully evaluate the 3D distribution of multimaterials from an AM process. Specifically, two diverse hard and soft materials are alternatively produced in the form of a fibre embedded in a matrix via ink-jet printing. XCT coupled with imaging evaluation were able to distinguish between the differing materials and, importantly, to demonstrate a reduction in the expected fabricated volumes when compared to the respective CAD designs. LAY DESCRIPTION: Additive Manufacturing (AM) has recently become important in producing complex engineered structures. Using 3D CAD files and/or reconstructed data sets from imaging, hard and soft materials are manufactured independently or in combination, according to geometrical features and shapes in the input data. However, the evaluation of the resultant manufactured parts in comparison with the original 3D drawing is currently lacking. In this sense, X-ray computed tomography (XCT) provides an important metrology tool for mono and multimaterial AM. In this work a volumetric metrology investigation is proposed using higher resolution XCT to provide 3D information comparable to that of the 3D CAD drawings. A commercial high-resolution multijetting material printer (ProJet 5500X, 3D Systems, USA) is used to manufacture single fibre composites, through a complementary deposition of photo sensible polymers. Hard and soft plastics are produced using a UV curable step, resulting in materials of similar attenuation under an X-ray probe. A critical aim of the evaluations is the potential for XCT to distinguish between different UV curable 3D printing materials.
Collapse
Affiliation(s)
- M Curto
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, UK
| | - A P Kao
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, UK.,Zeiss Global Centre, University of Portsmouth, Portsmouth, UK
| | - W Keeble
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, UK
| | - G Tozzi
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, UK.,Zeiss Global Centre, University of Portsmouth, Portsmouth, UK
| | - A H Barber
- School of Engineering, London South Bank University, UK
| |
Collapse
|
14
|
A new method to determine specific surface area and shape coefficient of a cohesionless granular medium. ADV POWDER TECHNOL 2020. [DOI: 10.1016/j.apt.2020.05.028] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
15
|
Gold Exploration in Two and Three Dimensions: Improved and Correlative Insights from Microscopy and X-Ray Computed Tomography. MINERALS 2020. [DOI: 10.3390/min10050476] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
In this contribution, we highlight a correlative approach in which three-dimensional structural/positional data are combined with two dimensional chemical and mineralogical data to understand a complex orogenic gold mineralization system; we use the Kirk Range (southern Malawi) as a case study. Three dimensional structures and semi-quantitative mineral distributions were evaluated using X-ray Computed Tomography (XCT) and this was augmented with textural, mineralogical and chemical imaging using Scanning Electron Microscopy (SEM) and optical microscopy as well as fire assay. Our results detail the utility of the correlative approach both for quantifying gold concentrations in core samples (which is often nuggety and may thus be misrepresented by quarter- or half-core assays), and for understanding the spatial distribution of gold and associated structures and microstructures in 3D space. This approach overlays complementary datasets from 2D and 3D analytical protocols, thereby allowing a better and more comprehensive understanding on the distribution and structures controlling gold mineralization. Combining 3D XCT analyses with conventional 2D microscopies derive the full value out of a given exploration drilling program and it provides an excellent tool for understanding gold mineralization. Understanding the spatial distribution of gold and associated structures and microstructures in 3D space holds vast potential for exploration practitioners, especially if the correlative approach can be automated and if the resultant spatially-constrained microstructural information can be fed directly into commercially available geological modelling software. The extra layers of information provided by using correlative 2D and 3D microscopies offer an exciting new tool to enhance and optimize mineral exploration workflows, given that modern exploration efforts are targeting increasingly complex and low-grade ore deposits.
Collapse
|
16
|
Quantitative Microstructural Analysis and X-ray Computed Tomography of Ores and Rocks—Comparison of Results. MINERALS 2020. [DOI: 10.3390/min10020129] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Profound knowledge of the structure and texture of rocks and ores as well as the behavior of the materials under external loads is essential to further improvements in size reduction processes, particularly in terms of liberation size. New analytical methods such as computer tomography (CT) were adopted to improve the understanding of material characteristics in rocks and ores relevant to mineral processing, particular the crushing and grinding and the modelling/simulation thereof. Results obtained on the texture and structure of identical samples of rather different rocks and ores (copper ore, granodiorite, kimberlite) are compared by CT with quantitative results from traditional optical microscopy obtained by quantitative microstructural analysis (QMA). While the two approaches show a good agreement of the results in many areas, the measurements with the two different methods also exhibit remarkable differences in other areas, which are discussed further. In conclusion, both methods have their specific advantages starting from sample preparation to the accuracy of information obtained concerning certain parameters of mode and fabric. While sample preparation is faster with CT and information on special distribution of metal minerals is more reliable, the information on mode, grain size and clustering seem to be more precise with QMA. Based on the results, it can be concluded that both methods are comparable in many areas, but in in the field of spatial distribution, they are merely complementary.
Collapse
|