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Engineering Applications of Noncommutative Harmonic Analysis

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Engineering Applications of Noncommutative Harmonic Analysis

Citation Information

Engineering Applications of Noncommutative Harmonic Analysis

With Emphasis on Rotation and Motion Groups

Gregory S. Chirikjian and Alexander B. Kyatkin

CRC Press 2001

Print ISBN: 978-0-8493-0748-5

eBook ISBN: 978-1-4200-4176-7

Table of Contents

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http://dx.doi.org/10.1201/9781420041767

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Front Matter

Abstract - Hi-Res PDF (167 KB) - PDF w/links (168 KB)
Chapter 1. Introduction and Overview of Applications

Abstract - Hi-Res PDF (323 KB) - PDF w/links (354 KB)
Chapter 2. Classical Fourier Analysis

Abstract - Hi-Res PDF (200 KB) - PDF w/links (216 KB)
Chapter 3. Sturm-Liouville Expansions, Discrete Polynomial Transforms and Wavelets

Abstract - Hi-Res PDF (269 KB) - PDF w/links (305 KB)
Chapter 4. Orthogonal Expansions in Curvilinear Coordinates

Abstract - Hi-Res PDF (326 KB) - PDF w/links (361 KB)
Chapter 5. Rotations in Three Dimensions

Abstract - Hi-Res PDF (331 KB) - PDF w/links (360 KB)
Chapter 6. Rigid-Body Motion

Abstract - Hi-Res PDF (327 KB) - PDF w/links (352 KB)
Chapter 7. Group Theory

Abstract - Hi-Res PDF (443 KB) - PDF w/links (457 KB)
Chapter 8. Harmonic Analysis on Groups

Abstract - Hi-Res PDF (287 KB) - PDF w/links (303 KB)
Chapter 9. Representation Theory and Operational Calculus for SU(2) and SO(3)

Abstract - Hi-Res PDF (279 KB) - PDF w/links (292 KB)
Chapter 10. Harmonic Analysis on the Euclidean Motion Groups

Abstract - Hi-Res PDF (240 KB) - PDF w/links (252 KB)
Chapter 11. Fast Fourier Transforms for Motion Groups

Abstract - Hi-Res PDF (296 KB) - PDF w/links (312 KB)
Chapter 12. Robotics

Abstract - Hi-Res PDF (995 KB) - PDF w/links (813 KB)
Chapter 13. Image Analysis and Tomography

Abstract - Hi-Res PDF (856 KB) - PDF w/links (734 KB)
Chapter 14. Statistical Pose Determination and Camera Calibration

Abstract - Hi-Res PDF (239 KB) - PDF w/links (277 KB)
Chapter 15. Stochastic Processes, Estimation, and Control

Abstract - Hi-Res PDF (223 KB) - PDF w/links (261 KB)
Chapter 16. Rotational Brownian Motion and Diffusion

Abstract - Hi-Res PDF (216 KB) - PDF w/links (255 KB)
Chapter 17. Statistical Mechanics of Macromolecules

Abstract - Hi-Res PDF (310 KB) - PDF w/links (356 KB)
Chapter 18. Mechanics and Texture Analysis

Abstract - Hi-Res PDF (198 KB) - PDF w/links (247 KB)
AppendixA. Computational Complexity, Matrices, and Polynomials

Abstract - Hi-Res PDF (107 KB) - PDF w/links (120 KB)
AppendixB. Set Theory

Abstract - Hi-Res PDF (119 KB) - PDF w/links (132 KB)
AppendixC. Vector Spaces and Algebras

Abstract - Hi-Res PDF (82 KB) - PDF w/links (82 KB)
AppendixD. Matrices

Abstract - Hi-Res PDF (99 KB) - PDF w/links (100 KB)
AppendixE. Techniques from Mathematical Physics

Abstract - Hi-Res PDF (118 KB) - PDF w/links (119 KB)
AppendixF. Variational Calculus

Abstract - Hi-Res PDF (100 KB) - PDF w/links (117 KB)
AppendixG. Manifolds and Riemannian Metrics

Abstract - Hi-Res PDF (108 KB) - PDF w/links (119 KB)
References

Abstract - Hi-Res PDF (54 KB) - PDF w/links (61 KB)

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