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Mathematical Image Processing

University of Orléans, France, March 29th - April 1st, 2010

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Maïtine Bergounioux

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

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  • The papers collected in this volume mainly concern image reconstruction, texture extraction and image classification
  • They involve a variety of disparate methods and applications
  • All contributions are peer-reviewed

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 5)

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Table of contents (10 papers)

  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
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Keywords

About this book

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.

Reviews

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)

Editors and Affiliations

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

    Maïtine Bergounioux

Bibliographic Information

  • Book Title: Mathematical Image Processing

  • Book Subtitle: University of Orléans, France, March 29th - April 1st, 2010

  • Editors: Maïtine Bergounioux

  • Series Title: Springer Proceedings in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-19604-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-19603-4Published: 14 May 2011

  • Softcover ISBN: 978-3-642-26826-7Published: 17 July 2013

  • eBook ISBN: 978-3-642-19604-1Published: 12 May 2011

  • Series ISSN: 2190-5614

  • Series E-ISSN: 2190-5622

  • Edition Number: 1

  • Number of Pages: X, 198

  • Topics: Optimization, Image Processing and Computer Vision

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