Mathematical Image Processing: University of Orléans, France, March 29th - April 1st, 2010 (Springer Proceedings in Mathematics Book 5)

The contributions appearing in this volume are a snapshot of the different topics that were discussed during the Second Conference "Mathematics and Image Processing” held at the University of Orléans in 2010. They mainly concern, image reconstruction, texture extraction and image classification and involve a variety of different methods and applications. Therefore it was impossible to split the papers into generic groups which is why they are presented in alphabetic order. However they mainly concern: texture analysis (5 papers) with different techniques (variational analysis, wavelet and morphological component analysis, fractional Brownian fields), geometrical methods (2 papers ) for restoration and invariant feature detection, classification (with multifractal analysis), neurosciences imaging and analysis of Multi-Valued Images. Front Matter....Pages i-x Function Spaces Vs. Scaling Functions: Tools for Image Classification....Pages 1-39 A Second Order Model for 3D-Texture Extraction....Pages 41-57 Analysis of Texture Anisotropy Based on Some Gaussian Fields with Spectral Density....Pages 59-73 Image Reconstruction Via Hypoelliptic Diffusion on the Bundle of Directions of the Plane....Pages 75-90 Projective Invariant Features Detection and the Registration Group....Pages 91-105 Morphological Component Analysis for Decomposing Dynamic Textures....Pages 107-126 Texture Enhancing Based on Variational Image Decomposition....Pages 127-140 A Locally Anisotropic Model for Image Texture Extraction....Pages 141-158 A Neural Field Model for Motion Estimation....Pages 159-179 Non-Local Regularization and Registration of Multi-Valued Images By PDE’s and Variational Methods on Higher Dimensional Spaces....Pages 181-197 Features the contributions covering the different topics that were discussed during the Second Conference 'Mathematics and Image Processing' held at the University of Orleans in 2010.