Springer, 2014. — 185 p.Over the last decade, computer graphics (CG) modeling has developed considerably, bringing greater fidelity and interaction in many applications. However, subjects such as fluids and virtual humans continue to pose CG challenges. The symposium ‘‘Mathematical Progress in Expressive Image Synthesis’’ (MEIS2013) was held in Fukuoka, Japan, in October 21–23, 2013, as a unique venue where mathematicians, CG researchers, and those who work in industry came together to investigate these difficult subjects. Moreover, the symposium was intended to trigger novel research directions such as exploring the mathematics of visual perception. This volume presents the papers selected from the MEIS2013 proceedings, which was originally issued as MI Lecture Notes Vol. 50, Kyushu University, 2013. The book comprises five parts in order to organize the papers for mathematical scientists, graphics researchers, and industry programmers as well. Part I presents several mathematical frameworks and approaches relevant to CG and vision issues on a widespread scale. Each theme of Part II–IV is a more specific 2D/3D CG issue regarding photorealistic rendering, texture and sound synthesis, visual simulation of fluids, surface deformation/editing, and character locomotion. Part V presents papers on how to utilize 2D image databases for practical applications. The underlying mathematical subjects involve discrete differential geometry, Lie theory, computational fluid dynamics, function interpolation, and learning theory. We therefore hope the readers will find themselves deeply inspired through the harmony of mathematics and graphics research displayed in this volume.Mathematical Approaches to Computer Graphics and Vision The Power of Orthogonal Duals (Invited Talk) 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 Systems Probable and Improbable Faces Sound and Scene Rendering Progress in Digital Sound Synthesis for Physically Based Animation (Invited Talk) Efficient Image-Based Rendering Method Using Spherical Gaussian A Lie Theoretic Proposal on Algorithms for the 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 Fluid and Flow A Flexible Image Processing Approach to the Surfacing of Particle-Based Fluid Animation (Invited Talk) Inverse Approach for Visual Simulation of Clouds Generating Flow Fields Variations Using Laplacian Eigenfunctions Blood Flow Analysis Using Medical Imaging Data and Streamline Visualization Deformation and Locomotion Discrete Isoperimetric Deformation of Discrete Curves Mathematical Formulation of Motion and Deformation and Its Applications Anti-commutative Dual Complex Numbers and 2D Rigid Transformation Phase Dynamics on the Modified Oscillators in Bipedal Locomotion 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
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