Diffusion-driven Wavelet Design for Shape Analysis

Content: Introduction Wavelets on 3D Shapes Book Contents THEORIES Wavelet Theory Classical Wavelet Subdivision Wavelet Diffusion Wavelet Spectral Graph Wavelet Heat Diffusion Theory Heat Equation Heat Kernel Applications in Shape Analysis Admissible Diffusion Wavelets Diffusion Operator Wavelet Construction Wavelet Transform Relations Space-Frequency Processing Framework Mexican Hat Wavelet Manifold Harmonics Bivariate Kernels and Convolutions Mexican Hat Wavelet Properties Wavelet Transform Anisotropic Wavelet Normal-Controlled Coordinates Anisotropic Heat Kernel Anisotropic Diffusion Anisotropic Wavelet Wavelet Generation Volume Wavelets Manifold Wavelet Generalization APPLICATIONS Implementation Discrete Laplace-Beltrami Operator Generalized Eigenvalue Problem Matrix Power Shape Representation Related Work Heat Kernel Signature Wave Kernel Signature Wavelet Signature Geometry Processing Fourier Transform Admissible Diffusion Wavelets Mexican Hat Wavelet Feature Definition and Detection Saliency Visualization Feature Definition Feature Detection Shape Matching, Registration, and Retrieval Shape Matching Shape Registration Shape Retrieval Bibliography Index