Mathematical Image Processing

The contributions appearing in this volume are a snapshot of the different topics that were discussed during the conference. 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.

Function spaces vs. Scaling Functions: Tools for Image Classification. Stéphane Jaffard, Patrice Abry and Stéphane Roux.- A Second Order Model for 3D-texture Extraction. Maïtine Bergounioux and Minh Phuong Tran.- Analysis of Texture Anisotropy Through Extended Fractional Brownian Fields. Hermine Biermé and Frédéric J.P. Richard.- Image Reconstruction via Hypoelliptic Diffusion on the Bundle of Directions of the Plane. Ugo Boscain, Jean Duplaix, Jean-Paul Gauthier, Francesco Rossi.- Projective Invariant Features Detection and the Registration group. Françoise Dibos.- Morphological Component Analysis for Decomposing Dynamic Textures. Sloven Dubois, Renaud Péteri and Michel Ménard.- Texture Enhancing Based on Variational Image Decomposition. F. Frühauf, C. Pontow, O. Scherzer.- A Locally Anisotropic Model for Image Texture Extraction. Loïc Piffet.- A Neural Field Model for Motion Estimation. Émilien Tlapale, Pierre Kornprobst, Guillaume Masson and Olivier Faugeras.- Non-Local Regularization and Registration of Multi-Valued Images by PDE's and VariationalMethods on Higher Dimensional Spaces. David Tschumperlé and Luc Brun.