Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups

Introduction and Overview of Applications Classical Fourier Analysis Sturm-Liouville Expansions, Discrete Polynomial Transforms, and Wavelets Orthogonal Expansions in Curvilinear Coordinates Rotations in Three Dimensions Rigid-Body Motion Group Theory Harmonic Analysis on Groups Representation Theory and Operational Calculus for SU(2) and SO(3) Harmonic Analysis on the Euclidean Motion Groups Fast Fourier Transforms for Motion Groups Robotics Image Analysis and Tomography Statistical Pose Determination and Camera Calibration Stochastic Processes, Estimation, and Control Rotational Brownian Motion and Diffusion Statistical Mechanics of Macromolecules Mechanics and Texture Analysis Appendices: Computational Complexity, Matrices, and Polynomials Set Theory Vector Spaces and Algebras Matrices Techniques from Mathematical Physics Variational Calculus Manifolds and Riemannian Metrics