Engineering Applications of Noncommutative Harmonic Analysis
eBook - ePub

Engineering Applications of Noncommutative Harmonic Analysis

With Emphasis on Rotation and Motion Groups

  1. 674 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Engineering Applications of Noncommutative Harmonic Analysis

With Emphasis on Rotation and Motion Groups

About this book

First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems.Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications.Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.

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Yes, you can access Engineering Applications of Noncommutative Harmonic Analysis by Gregory S. Chirikjian,Alexander B. Kyatkin in PDF and/or ePUB format, as well as other popular books in Mathematics & Computer Engineering. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2021
Print ISBN
9780367257187
eBook ISBN
9781000697339
Edition
1
Topic
Mathematics
Subtopic
Computer Engineering
Index
Mathematics

Table of contents

  1. Cover
  2. Halftitle page
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Authors
  7. Preface
  8. Table of Contents
  9. 1 Introduction and Overview of Applications
  10. 2 Classical Fourier Analysis
  11. 3 Sturm-Liouville Expansions, Discrete Polynomial Transforms and Wavelets
  12. 4 Orthogonal Expansions in Curvilinear Coordinates
  13. 5 Rotations in Three Dimensions
  14. 6 Rigid-Body Motion
  15. 7 Group Theory
  16. 8 Harmonic Analysis on Groups
  17. 9 Representation Theory and Operational Calculus for SU(2) and SO(3)
  18. 10 Harmonic Analysis on the Euclidean Motion Groups
  19. 11 Fast Fourier Transforms for Motion Groups
  20. 12 Robotics
  21. 13 Image Analysis and Tomography
  22. 14 Statistical Pose Determination and Camera Calibration
  23. 15 Stochastic Processes, Estimation, and Control
  24. 16 Rotational Brownian Motion and Diffusion
  25. 17 Statistical Mechanics of Macromolecules
  26. 18 Mechanics and Texture Analysis
  27. A Computational Complexity, Matrices, and Polynomials
  28. B Set Theory
  29. C Vector Spaces and Algebras
  30. D Matrices
  31. E Techniques from Mathematical Physics
  32. F Variational Calculus
  33. G Manifolds and Riemannian Metrics
  34. References
  35. Index