Mathematical Progress in Expressive Image Synthesis I

Part I Mathematical approaches to computer graphics and vision.- The Power of Orthogonal Duals.- Mathematical Models of Visual Information Processing in the Human Brain and Applications to Visual Illusions and Image Processing.- Decomposition and clustering for the visualization of dynamical system.- Probable and Improbable Faces.- Part II Sound and scene rendering.- Progress in Digital Sound Synthesis for Physically Based Animation.- Efficient Image-based Rendering Method using Spherical Gaussian.- A Lie theoretic proposal on algorithms for spherical harmonic lighting.- Interactive Editing of Volumetric Objects by Using Feature-based Transfer Function.- Feature-based Approach for the Interactive Editing of Environmental Lighting Effects.- Ray Tracing of Quadratic Parametric Surface.- Part III Fluid and flow.- A Flexible Image Processing Approach to the Surfacing of Particle-Based Fluid Animation.- Inverse Approach for Visual Simulation of Clouds.- Generating Flow Fields Variations using Laplacian Eigenfunctions.- Blood flow analysis using medical imaging data and streamline visualization.- Part IV Deformation and locomotion.- Discrete Isoperimetric Deformation of Discrete Curves.- Mathematical Formulation of Motion and Deformation and its Applications.- Anti-commutative Dual Complex Number and 2D Rigid Transformation.- Phase Dynamics on the Modified Oscillators in Bipedal Locomotion.- Part V Image database and applications.- Single-view 3D Reconstruction by Learning 3D Game Scenes.- Facial Aging Simulation by Patch-based Texture Synthesis with Statistical Wrinkle Aging Pattern Model.- Animating images of cooking using video examples and image deformation.- Detection of inserted text in images.