Preface
1. Introduction and Overview of Applications
2. Classical Fourier Analysis
3. Sturm-Liouville Expansions, Discrete Polynomial Transforms, and Wavelets
4. Orthogonal Expansions in Curvilinear Coordinates
5. Rotations in Three Dimensions
6. Rigid-Body Motion
7. Group Theory
8. Harmonic Analysis on Groups
9. Representation Theory and Operations Calculus for SU(2) and SO(3)
10. Harmonic Analysis on the Euclidean Motion Groups
11. Fast Fourier Transforms for Motion Groups
12. Robotics
13. Image Analysis and Tomography
14. Statistical Pose Determination and Camera Calibration
15. Stochastic Process, Estimation, and Control
16. Rotational Brownian Motion and Diffusion
17. Statistical Mechanics of Polymers
18. Mechanics and Texture Analysis
19. Protein Kinematics
A. Computational Complexity and Polynomials
B. Set Theory
C. Vector Spaces and Algebras
D. Matrix Functions and Decompositions
E. Techniques from Mathematical Physics
F. Variational Calculus
G. Manifolds and Riemannian Metrics
References
Index