Image Reconstruction : : Applications in Medical Sciences / / Gengsheng Lawrence Zeng.
This book introduces the classical and modern image reconstruction technologies. It covers topics in two-dimensional (2D) parallel-beam and fan-beam imaging, three-dimensional (3D) parallel ray, parallel plane, and cone-beam imaging. Both analytical and iterative methods are presented. The applicati...
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Zeng, Gengsheng Lawrence, author. aut http://id.loc.gov/vocabulary/relators/aut Image Reconstruction : Applications in Medical Sciences / Gengsheng Lawrence Zeng. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (XIV, 226 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1. Basic principles of tomography -- 2. Parallel-beam image reconstruction -- 3. Fan-beam image reconstruction -- 4. Transmission and emission tomography -- 5. Three-dimensional image reconstruction -- 6. Iterative reconstruction -- 7. MRI reconstruction -- 8. Using FBP to perform iterative reconstruction -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book introduces the classical and modern image reconstruction technologies. It covers topics in two-dimensional (2D) parallel-beam and fan-beam imaging, three-dimensional (3D) parallel ray, parallel plane, and cone-beam imaging. Both analytical and iterative methods are presented. The applications in X-ray CT, SPECT (single photon emission computed tomography), PET (positron emission tomography), and MRI (magnetic resonance imaging) are discussed. Contemporary research results in exact region-of-interest (ROI) reconstruction with truncated projections, Katsevich’s cone-beam filtered backprojection algorithm, and reconstruction with highly under-sampled data are included. The last chapter of the book is devoted to the techniques of using a fast analytical algorithm to reconstruct an image that is equivalent to an iterative reconstruction. These techniques are the author’s most recent research results. This book is intended for students, engineers, and researchers who are interested in medical image reconstruction. Written in a non-mathematical way, this book provides an easy access to modern mathematical methods in medical imaging. Table of Content:Chapter 1 Basic Principles of Tomography1.1 Tomography1.2 Projection1.3 Image Reconstruction1.4 Backprojection1.5 Mathematical ExpressionsProblemsReferencesChapter 2 Parallel-Beam Image Reconstruction2.1 Fourier Transform2.2 Central Slice Theorem2.3 Reconstruction Algorithms2.4 A Computer Simulation2.5 ROI Reconstruction with Truncated Projections2.6 Mathematical Expressions (The Fourier Transform and Convolution , The Hilbert Transform and the Finite Hilbert Transform , Proof of the Central Slice Theorem, Derivation of the Filtered Backprojection Algorithm , Expression of the Convolution Backprojection Algorithm, Expression of the Radon Inversion Formula ,Derivation of the Backprojection-then-Filtering AlgorithmProblemsReferencesChapter 3 Fan-Beam Image Reconstruction3.1 Fan-Beam Geometry and Point Spread Function3.2 Parallel-Beam to Fan-Beam Algorithm Conversion3.3 Short Scan3.4 Mathematical Expressions (Derivation of a Filtered Backprojection Fan-Beam Algorithm, A Fan-Beam Algorithm Using the Derivative and the Hilbert Transform)ProblemsReferencesChapter 4 Transmission and Emission Tomography4.1 X-Ray Computed Tomography4.2 Positron Emission Tomography and Single Photon Emission Computed Tomography4.3 Attenuation Correction for Emission Tomography4.4 Mathematical ExpressionsProblemsReferencesChapter 5 3D Image Reconstruction5.1 Parallel Line-Integral Data5.2 Parallel Plane-Integral Data5.3 Cone-Beam Data (Feldkamp's Algorithm, Grangeat's Algorithm, Katsevich's Algorithm)5.4 Mathematical Expressions (Backprojection-then-Filtering for Parallel Line-Integral Data, Filtered Backprojection Algorithm for Parallel Line-Integral Data, 3D Radon Inversion Formula, 3D Backprojection-then-Filtering Algorithm for Radon Data, Feldkamp's Algorithm, Tuy's Relationship, Grangeat's Relationship, Katsevich’s Algorithm)ProblemsReferencesChapter 6 Iterative Reconstruction6.1 Solving a System of Linear Equations6.2 Algebraic Reconstruction Technique6.3 Gradient Descent Algorithms6.4 Maximum-Likelihood Expectation-Maximization Algorithms6.5 Ordered-Subset Expectation-Maximization Algorithm6.6 Noise Handling (Analytical Methods, Iterative Methods, Iterative Methods)6.7 Noise Modeling as a Likelihood Function6.8 Including Prior Knowledge6.9 Mathematical Expressions (ART, Conjugate Gradient Algorithm, ML-EM, OS-EM, Green’s One-Step Late Algorithm, Matched and Unmatched Projector/Backprojector Pairs )6.10 Reconstruction Using Highly Undersampled Data with l0 MinimizationProblemsReferencesChapter 7 MRI Reconstruction7.1 The 'M'7.2 The 'R'7.3 The 'I'; (To Obtain z-Information, x-Information, y-Information)7.4 Mathematical ExpressionsProblemsReferencesIndexing Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MEDICAL / Diagnostic Imaging / Radiography . bisacsh Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Engineering, Computer Sciences 2017 9783110547757 ZDB-23-DEI EPUB 9783110498028 print 9783110500486 https://doi.org/10.1515/9783110500592 https://www.degruyter.com/isbn/9783110500592 Cover https://www.degruyter.com/cover/covers/9783110500592.jpg |
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English |
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author |
Zeng, Gengsheng Lawrence, Zeng, Gengsheng Lawrence, |
spellingShingle |
Zeng, Gengsheng Lawrence, Zeng, Gengsheng Lawrence, Image Reconstruction : Applications in Medical Sciences / De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1. Basic principles of tomography -- 2. Parallel-beam image reconstruction -- 3. Fan-beam image reconstruction -- 4. Transmission and emission tomography -- 5. Three-dimensional image reconstruction -- 6. Iterative reconstruction -- 7. MRI reconstruction -- 8. Using FBP to perform iterative reconstruction -- Index |
author_facet |
Zeng, Gengsheng Lawrence, Zeng, Gengsheng Lawrence, |
author_variant |
g l z gl glz g l z gl glz |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Zeng, Gengsheng Lawrence, |
title |
Image Reconstruction : Applications in Medical Sciences / |
title_sub |
Applications in Medical Sciences / |
title_full |
Image Reconstruction : Applications in Medical Sciences / Gengsheng Lawrence Zeng. |
title_fullStr |
Image Reconstruction : Applications in Medical Sciences / Gengsheng Lawrence Zeng. |
title_full_unstemmed |
Image Reconstruction : Applications in Medical Sciences / Gengsheng Lawrence Zeng. |
title_auth |
Image Reconstruction : Applications in Medical Sciences / |
title_alt |
Frontmatter -- Preface -- Contents -- 1. Basic principles of tomography -- 2. Parallel-beam image reconstruction -- 3. Fan-beam image reconstruction -- 4. Transmission and emission tomography -- 5. Three-dimensional image reconstruction -- 6. Iterative reconstruction -- 7. MRI reconstruction -- 8. Using FBP to perform iterative reconstruction -- Index |
title_new |
Image Reconstruction : |
title_sort |
image reconstruction : applications in medical sciences / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (XIV, 226 p.) |
contents |
Frontmatter -- Preface -- Contents -- 1. Basic principles of tomography -- 2. Parallel-beam image reconstruction -- 3. Fan-beam image reconstruction -- 4. Transmission and emission tomography -- 5. Three-dimensional image reconstruction -- 6. Iterative reconstruction -- 7. MRI reconstruction -- 8. Using FBP to perform iterative reconstruction -- Index |
isbn |
9783110500592 9783110719543 9783110540550 9783110625264 9783110547757 9783110498028 9783110500486 |
url |
https://doi.org/10.1515/9783110500592 https://www.degruyter.com/isbn/9783110500592 https://www.degruyter.com/cover/covers/9783110500592.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
600 - Technology |
dewey-tens |
610 - Medicine & health |
dewey-ones |
610 - Medicine & health |
dewey-full |
610 |
dewey-sort |
3610 |
dewey-raw |
610 |
dewey-search |
610 |
doi_str_mv |
10.1515/9783110500592 |
oclc_num |
984643034 |
work_keys_str_mv |
AT zenggengshenglawrence imagereconstructionapplicationsinmedicalsciences |
status_str |
n |
ids_txt_mv |
(DE-B1597)470591 (OCoLC)984643034 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Engineering, Computer Sciences 2017 |
is_hierarchy_title |
Image Reconstruction : Applications in Medical Sciences / |
container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
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1806144422316867584 |
fullrecord |
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Written in a non-mathematical way, this book provides an easy access to modern mathematical methods in medical imaging. 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