Wilson / Laxminarayan Handbook of Biomedical Image Analysis

Volume 1: Segmentation Models Part A
1. Auflage 2006
ISBN: 978-0-306-48551-0
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 648 Seiten

Reihe: Topics in Biomedical Engineering. International Book Series

(Volume I) is dedicated to the segmentation of complex shapes from the field of imaging sciences using different mathematical techniques.

This volume is aimed at researchers and educators in imaging sciences, radiological imaging, clinical and diagnostic imaging, physicists covering different medical imaging modalities, as well as researchers in biomedical engineering, applied mathematics, algorithmic development, computer vision, signal processing, computer graphics and multimedia in general, both in academia and industry .

Key Features:

- Principles of intra-vascular ultrasound (IVUS)

- Principles of positron emission tomography (PET)

- Physical principles of magnetic resonance angiography (MRA).

- Basic and advanced level set methods

- Shape for shading method for medical image analysis

- Wavelet transforms and other multi-scale analysis functions

- Three dimensional deformable surfaces

- Level Set application for CT lungs, brain MRI and MRA volume segmentation

- Segmentation of incomplete tomographic medical data sets

- Subjective level sets for missing boundaries for segmentation

Autoren/Hrsg.

Wilson, David

Laxminarayan, Swamy

Inhaltsverzeichnis

1;Contributors;7
2;Acknowledgments;9
3;Preface;11
4;Contents;17
5;Chapter 1 A Basic Model for IVUS Image Simulation;19
5.1;Introduction;19
5.2;1.1 Technical Aspects of the IVUS;21
5.3;1.2 Present Limitations of the IVUS Technique and the Need for a Generation Model of IVUS Data;23
5.4;1.3 Formal Definition of the Image Model;27
5.5;1.4 Principal Features of IVUS Data;30
5.6;1.5 Simulation of IVUS Image;41
5.7;1.6 Validation of the Image Simulation Model;47
5.8;1.7 Conclusions;69
5.9;Questions;70
5.10;Bibliography;71
6;Chapter 2 Quantitative Functional Imaging with Positron Emission Tomography: Principles and Instrumentation;74
6.1;2.1 Introduction;74
6.2;2.2 A Brief History of PET;76
6.3;2.3 Modes of Decay;78
6.4;2.4 Positron Annihilation;79
6.5;2.5 Coincidence Detection;80
6.6;2.6 Coincidence Criteria;82
6.7;2.7 Detectors;83
6.8;2.8 Detected Events;84
6.9;2.9 Data Acquisition;86
6.10;2.10 Image Reconstruction;88
6.11;2.11 Data Corrections;93
6.12;2.12 Calibration;100
6.13;2.13 Resolution Limitations of PET;100
6.14;2.14 Quantitative Physiological Parameter Estimation;103
6.15;2.15 Applications of PET;112
6.16;2.16 Discussion and Concluding Remarks;115
6.17;Acknowledgment;119
6.18;Questions;119
6.19;Bibliography;121
7;Chapter 3 Advances in Magnetic Resonance Angiography and Physical Principles;134
7.1;3.1 Introduction;134
7.2;3.2 Techniques and Principles of Magnetic Resonance Angiography;151
7.3;3.3 Acquisition Methods;186
7.4;3.4 Recent Advancement in MRA Techniques;189
7.5;3.5 Limitations and Future Prospects;210
7.6;Questions;211
7.7;Bibliography;212
8;Chapter 4 Recent Advances in the Level Set Method;217
8.1;4.1 Introduction;217
8.2;4.2 Basic Level Set Method;219
8.3;4.3 Recent Developments;238
8.4;4.4 Conclusion;258
8.5;Questions;259
8.6;Bibliography;260
9;Chapter 5 Shape From Shading Models;273
9.1;5.1 Introduction;273
9.2;5.2 Mathematical Background of SFS Models;277
9.3;5.3 Numerical Algorithms and Their Implementations;288
9.4;5.4 Wavelet-Based Methods;304
9.5;5.5 Concluding Remarks;313
9.6;5.6 Acknowledgements;314
9.7;Bibliography;315
10;Chapter 6 Wavelets in Medical Image Processing: Denoising, Segmentation, and Registration;321
10.1;6.1 Introduction;321
10.2;6.2 Wavelet Transform and Multiscale Analysis;322
10.3;6.3 Noise Reduction and Image Enhancement Using Wavelet Transforms;335
10.4;6.4 Image Segmentation Using Wavelets;354
10.5;6.5 Image Registration Using Wavelets;359
10.6;6.6 Summary;360
10.7;Questions;363
10.8;Bibliography;364
11;Chapter 7 Improving the Initialization, Convergence, and Memory Utilization for Deformable Models;375
11.1;7.1 Introduction;375
11.2;7.2 Background in Deformable Models;380
11.3;7.3 Initializing Traditional Deformable Models;387
11.4;7.4 Initialization of T-Surfaces;393
11.5;7.5 Reconstruction Method;397
11.6;7.6 Out-of-Core for Improving Memory Utilization;399
11.7;7.7 Out-of-Core Segmentation Approach;402
11.8;7.8 Convergence of Deformable Models and Diffusion Methods;404
11.9;7.9 Experimental Results;409
11.10;7.10 Discussion and Perspectives;415
11.11;7.11 Conclusions;419
11.12;Questions;420
11.13;Bibliography;423
12;Chapter 8 Level Set Segmentation of Biological Volume Datasets;431
12.1;8.1 Introduction;431
12.2;8.2 Level Set Surface Models;433
12.3;8.3 Segmentation Framework;436
12.4;8.4 Segmentation From Multiple Nonuniform Volume Datasets;445
12.5;8.5 Segmentation of DT-MRI Brain Data;456
12.6;8.6 Direct Estimation of Surfaces in Tomographic Data;466
12.7;8.7 Conclusions;482
12.8;8.8 Acknowledgements;484
12.9;Bibliography;485
13;Chapter 9 Advanced Segmentation Techniques;495
13.1;9.1 Introduction;495
13.2;9.2 Stochastic Image Models;497
13.3;9.3 Applications;506
13.4;9.4 Fuzzy Segmentation;514
13.5;9.5 Level Sets;528
13.6;9.6 Application: MRA Data Segmentation Using Level Sets;536
13.7;Questions;541
13.8;Bibliography;543
14;Chapter 10 A Region- Aided Color Geometric Snake;550
14.1;10.1 Introduction;550
14.2;10.2 The Geometric Snake;552
14.3;10.3 The Geometric GGVF Snake;559
14.4;10.4 Region-Aided Geometric Snake;561
14.5;10.5 Numerical Solutions;567
14.6;10.6 Region-Aided Geometric Snake on Vector- Valued Images;570
14.7;10.7 The Mean Shift Algorithm;572
14.8;10.8 A Summary of the RAGS Algorithm;574
14.9;10.9 Experiments and Results;574
14.10;10.10 Conclusions;586
14.11;10.11 Further Reading;587
14.12;10.12 Appendix. Numerical Solution for the Level Set Implementation of RAGS;589
14.13;Questions;590
14.14;Bibliography;592
15;Chapter 11 Co- Volume Level Set Method in Subjective Surface Based Medical Image Segmentation;597
15.1;11.1 Introduction;597
15.2;11.2 Discussion on Related Mathematical Models;601
15.3;11.3 Semi-implicit Co-Volume Scheme;612
15.4;11.4 Discussion on Numerical Results;623
15.5;11.5 Conclusions;633
15.6;11.6 Acknowledgements;634
15.7;Questions;634
15.8;Bibliography;635
16;The Editors;641
17;Index;646