Mathematical Image Processing

1. Front Matter

   Pages i-x

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2. Function Spaces Vs. Scaling Functions: Tools for Image Classification

   • Stéphane Jaffard, Patrice Abry, Stéphane Roux

   Pages 1-39

3. A Second Order Model for 3D-Texture Extraction

   • Maïtine Bergounioux, Minh Phuong Tran

   Pages 41-57

4. Analysis of Texture Anisotropy Based on Some Gaussian Fields with Spectral Density

   • Hermine Biermé, Frédéric J. P. Richard

   Pages 59-73

5. Image Reconstruction Via Hypoelliptic Diffusion on the Bundle of Directions of the Plane

   • Ugo Boscain, Jean Duplaix, Jean-Paul Gauthier, Francesco Rossi

   Pages 75-90

6. Projective Invariant Features Detection and the Registration Group

   • Françoise Dibos

   Pages 91-105

7. Morphological Component Analysis for Decomposing Dynamic Textures

   • Sloven Dubois, Renaud Péteri, Michel Ménard

   Pages 107-126

8. Texture Enhancing Based on Variational Image Decomposition

   • Florian Frühauf, Carsten Pontow, Otmar Scherzer

   Pages 127-140

9. A Locally Anisotropic Model for Image Texture Extraction

   • Loïc Piffet

   Pages 141-158

10. A Neural Field Model for Motion Estimation

    • Émilien Tlapale, Pierre Kornprobst, Guillaume S. Masson, Olivier Faugeras

    Pages 159-179

11. Non-Local Regularization and Registration of Multi-Valued Images By PDE’s and Variational Methods on Higher Dimensional Spaces

    • David Tschumperlé, Luc Brun

    Pages 181-197

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.

• Image processing
• Image processing (compression, reconstruction)
• Optimization and variational techniques
• Wavelets and other special systems

From the reviews:

“This book contains a series of papers from a conference held in Orléans, 2010, on mathematical image processing. … Developments of methods and tools in mathematical image processing have been going rapidly during the last decades. This book reflects the latest developments in the area. … those interested in image processing and analysis will find this a very useful and interesting volume, presenting the latest developments within an exciting and important area in mathematical science.” (Alfred Stein, Nieuw Archief voor wiskunde, Vol. 5/13 (4), December, 2012)

• , UMR 6628-MAPMO, Université d'Orléans, Orléans Cedex 2, France

  Maïtine Bergounioux

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