Two-Dimensional Phase Unwrapping Theory, Algorithms, and Software

by ;
Edition: 1st
Format: Hardcover
Pub. Date: 1998-04-28
Publisher(s): Wiley-Interscience
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Summary

A resource like no other-the first comprehensive guide to phase unwrapping Phase unwrapping is a mathematical problem-solving technique increasingly used in synthetic aperture radar (SAR) interferometry, optical interferometry, adaptive optics, and medical imaging. In Two-Dimensional Phase Unwrapping, two internationally recognized experts sort through the multitude of ideas and algorithms cluttering current research, explain clearly how to solve phase unwrapping problems, and provide practicable algorithms that can be applied to problems encountered in diverse disciplines. Complete with case studies and examples as well as hundreds of images and figures illustrating the concepts, this book features: * A thorough introduction to the theory of phase unwrapping * Eight algorithms that constitute the state of the art in phase unwrapping * Detailed description and analysis of each algorithm and its performance in a number of phase unwrapping problems * C language software that provides a complete implementation of each algorithm * Comparative analysis of the algorithms and techniques for evaluating results * A discussion of future trends in phase unwrapping research * Foreword by former NASA scientist Dr. John C. Curlander Two-Dimensional Phase Unwrapping skillfully integrates concepts, algorithms, software, and examples into a powerful benchmark against which new ideas and algorithms for phase unwrapping can be tested. This unique introduction to a dynamic, rapidly evolving field is essential for professionals and graduate students in SAR interferometry, optical interferometry, adaptive optics, and magnetic resonance imaging (MRI).

Author Biography

DENNIS C. GHIGLIA is a Senior Scientist at the Vexcel Corporation in Boulder, Colorado, and formerly a distinguished member of the technical staff at Sandia National Laboratories. Dr. Ghiglia has written numerous articles and papers, coauthored Spotlight-Mode Synthetic Aperture Radar: A Signal Processing Approach, and holds two U.S. patents.<br> <br> . PRITT is a Senior Engineer for Lockheed Martin Corporation, where he has worked on the research and development of image processing and phase unwrapping algorithms for nearly a decade. Dr. Pritt has published numerous papers and articles and holds five U.S. patents.

Table of Contents

Foreword ix(2)
Preface xi
1 Introduction to Phase Unwrapping
1(30)
1.1 The Importance of Phase
1(3)
1.2 The Need for Phase Unwrapping
4(12)
1.3 Aspects of One-Dimensional Phase Unwrapping
16(10)
1.4 Summary and Brief Look Ahead
26(2)
References
28(3)
2 Line Integrals, Residues, and 2-D Phase Unwrapping
31(28)
2.1 Introduction
31(1)
2.2 Differential Forms and Conditions for Path Independence
32(7)
2.3 Theory of Residues and Applications to Phase Unwrapping
39(4)
2.4 Phase Decomposition into "Irrotational" and "Rotational" Components
43(1)
2.5 Discrete Formulation of Two-Dimensional Phase Unwrapping
44(2)
2.6 Simple Tests for Path Dependence
46(4)
2.7 Residues, Gradients, and Phase Decomposition: Examples
50(4)
2.8 Conclusion
54(3)
References
57(2)
3 Phase Data, Quality Maps, Masks, and Filters
59(41)
3.1 Introduction
59(1)
3.2 Phase Data Examples
59(11)
3.3 Quality Maps
70(12)
3.4 Masks
82(8)
3.5 Noise Filtering
90(7)
3.6 Summary and Conclusion
97(1)
References
98(2)
4 Path-Following Methods
100(78)
4.1 Introduction
100(3)
4.2 Goldstein's Branch Cut Algorithm
103(19)
4.3 Quality-Guided Path Following
122(14)
4.4 Mask Cut Algorithm
136(15)
4.5 Flynn's Minimum Discontinuity Approach
151(21)
4.6 Summary and Conclusion
172(4)
References
176(2)
5 Minimum-Norm Methods
178(101)
5.1 Introduction
178(3)
5.2 Minimum L(p)-Norm Formulation
181(7)
5.3 Unweighted Least-Squares Phase Unwrapping
188(27)
5.4 Weighted Least-Squares Phase Unwrapping
215(33)
5.5 Minimum L(p)-Norm Phase Unwrapping
248(25)
5.6 Summary and Conclusion
273(4)
References
277(2)
6 Comparisons and Conclusion
279(32)
6.1 Comparisons of Phase Unwrapping Algorithms
280(8)
6.2 Links Between Path-Following and Minimum-Norm Algorithms
288(5)
6.3 Measures of Success
293(13)
6.4 Future Directions
306(2)
6.5 Conclusion
308(1)
References
309(2)
Appendix A Software 311(157)
A.1 General-Purpose Utilities 314(11)
A.2 Derivatives and Residues 325(15)
A.3 Quality Maps, Masks, and Weights 340(20)
A.4 Least Squares, Laplacians, and Congruence 360(12)
A.5 Visualization and Evaluation 372(8)
A.6 Goldstein's Algorithm 380(7)
A.7 Quality-Guided Algorithm 387(8)
A.8 Mask Cut Algorithm 395(8)
A.9 Flynn's Minimum Discontinuity Algorithm 403(15)
A.10 Unweighted Least-Squares Algorithms 418(18)
A.11 PCG Algorithm 436(11)
A.12 Weighted Multigrid Algorithm 447(10)
A.13 L(p)-Norm Algorithm 457(11)
Appendix B Software Index 468(6)
Appendix C Software ftp Download 474(1)
Index 475

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