| 000 | 07219nam a22008055i 4500 | ||
|---|---|---|---|
| 001 | 9783110500592 | ||
| 003 | DE-B1597 | ||
| 005 | 20240730161608.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 210830t20172017gw fo d z eng d | ||
| 020 | _a9783110500592 | ||
| 024 | 7 |
_a10.1515/9783110500592 _2doi |
|
| 035 | _a(DE-B1597)470591 | ||
| 035 | _a(OCoLC)984643034 | ||
| 040 |
_aDE-B1597 _beng _cDE-B1597 _erda |
||
| 041 | 0 | _aeng | |
| 044 |
_agw _cDE |
||
| 072 | 7 |
_aMED019010 _2bisacsh |
|
| 082 | 0 | 4 |
_81p _a610 _qDE-101 |
| 100 | 1 |
_aZeng, Gengsheng Lawrence, _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _976701 |
|
| 245 | 1 | 0 |
_aImage Reconstruction : _bApplications in Medical Sciences / _cGengsheng Lawrence Zeng. |
| 264 | 1 |
_aBerlin ; _aBoston : _bDe Gruyter, _c[2017] |
|
| 264 | 4 | _c©2017 | |
| 300 | _a1 online resource (XIV, 226 p.) | ||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 0 | _aDe Gruyter Textbook | |
| 505 | 0 | 0 |
_tFrontmatter -- _tPreface -- _tContents -- _t1. Basic principles of tomography -- _t2. Parallel-beam image reconstruction -- _t3. Fan-beam image reconstruction -- _t4. Transmission and emission tomography -- _t5. Three-dimensional image reconstruction -- _t6. Iterative reconstruction -- _t7. MRI reconstruction -- _t8. Using FBP to perform iterative reconstruction -- _tIndex |
| 506 | 0 |
_arestricted access _uhttp://purl.org/coar/access_right/c_16ec _fonline access with authorization _2star |
|
| 520 | _aThis 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 | ||
| 538 | _aMode of access: Internet via World Wide Web. | ||
| 546 | _aIn English. | ||
| 588 | 0 | _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 7 |
_aMEDICAL / Diagnostic Imaging / Radiography . _2bisacsh _976702 |
|
| 773 | 0 | 8 |
_iTitle is part of eBook package: _dDe Gruyter _tDG Plus eBook-Package 2017 _z9783110719543 |
| 773 | 0 | 8 |
_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE COMPLETE 2017 _z9783110540550 _oZDB-23-DGG |
| 773 | 0 | 8 |
_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE COMPLETE ENGLISH 2017 _z9783110625264 |
| 773 | 0 | 8 |
_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE Engineering, Computer Sciences 2017 _z9783110547757 _oZDB-23-DEI |
| 776 | 0 |
_cEPUB _z9783110498028 |
|
| 776 | 0 |
_cprint _z9783110500486 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1515/9783110500592 |
| 856 | 4 | 0 | _uhttps://www.degruyter.com/isbn/9783110500592 |
| 856 | 4 | 2 |
_3Cover _uhttps://www.degruyter.com/cover/covers/9783110500592.jpg |
| 912 |
_a978-3-11-062526-4 EBOOK PACKAGE COMPLETE ENGLISH 2017 _b2017 |
||
| 912 |
_a978-3-11-071954-3 DG Plus eBook-Package 2017 _b2017 |
||
| 912 | _aEBA_BACKALL | ||
| 912 | _aEBA_CL_CHCOMSGSEN | ||
| 912 | _aEBA_CL_MDPM | ||
| 912 | _aEBA_CL_MTPY | ||
| 912 | _aEBA_DGALL | ||
| 912 | _aEBA_EBACKALL | ||
| 912 | _aEBA_EBKALL | ||
| 912 | _aEBA_ECL_CHCOMSGSEN | ||
| 912 | _aEBA_ECL_MDPM | ||
| 912 | _aEBA_ECL_MTPY | ||
| 912 | _aEBA_EEBKALL | ||
| 912 | _aEBA_ESTMALL | ||
| 912 | _aEBA_STMALL | ||
| 912 | _aGBV-deGruyter-alles | ||
| 912 | _aPDA12STME | ||
| 912 | _aPDA13ENGE | ||
| 912 | _aPDA18STMEE | ||
| 912 | _aPDA5EBK | ||
| 912 |
_aZDB-23-DEI _b2017 |
||
| 912 |
_aZDB-23-DGG _b2017 |
||
| 942 | _cEBK | ||
| 999 |
_c84470 _d84470 |
||