Handbook of Mathematical Models in Computer Vision

  • Nikos Paragios
  • Yunmei Chen
  • Olivier Faugeras

Table of contents

  1. Front Matter
    Pages i-xxxiii
  2. Image Reconstruction

    1. J. Weickert, G. Steidl, P. Mräzek, M. Welk, T. Brox
      Pages 1-16
    2. T. Chan, S. Esedoglu, F. Park, A. Yip
      Pages 17-31
    3. M. Bertalmío, V. Caselles, G. Haro, G. Sapiro
      Pages 33-61
  3. Boundary Exraction, Segmentation and Grouping

    1. F. Meyer
      Pages 63-78
    2. M. Bergtholdh, D. Cremers, C. Schurr
      Pages 131-143
    3. A. Yezzi, D. Nain, G. Unal, O. Zeitouni, A. Tannenbaum
      Pages 161-174
  4. Shape Modeling & Registration

    1. A. Srivastava, S. Joshi, D. Kaziska, D. Wilson
      Pages 189-203
    2. H. Guo, A. Rangarajan, S. Joshi
      Pages 205-219
  5. Motion Analysis, Optical Flow & Tracking

    1. D. Fleet, Y. Weiss
      Pages 237-257
    2. M. Nielsen, B. Markussen
      Pages 259-272
    3. R. Szeliski
      Pages 273-292
    4. S. Jehan-Besson, A. Herbulot, M. Bariaud, G. Aubert
      Pages 309-323
    5. I. Kakadiaris, C. Barrón
      Pages 325-340
    6. G. Doretto, S. Soatto
      Pages 341-355
  6. 3D from Images, Projective Geometry & Stereo Reconstruction

  7. Applications: Medical Image Analysis

    1. B. Legeveldt, A. Frangi, S. Mitchell, H. van Assen, S. Ordas, J. Reiber et al.
      Pages 471-485
    2. Z. Wang, B. Vcmuti
      Pages 503-516
    3. R. Deriche, D. Tschumpelé, C. Lenglet, M. Rousson
      Pages 517-530
    4. L. Zöliei, J. Fisher, W. Wells
      Pages 531-542
  8. Back Matter
    Pages 543-605

About this book


Visual perception refers to the ability of understanding the visual information that is provided by the environment. Such a mechanism integrates several human abilities and was studied by many researchers with different scientific origins including philosophy, physiology, biology, neurobiology, mathematics and engineering. In particular in the recent years an effort to understand, formalize and finally reproduce mechanical visual perception systems able to see and understand the environment using computational theories was made by mathematicians, statisticians and engineers. Such a task connects visual tasks with optimization processes and the answer to the visual perception task corresponds to the lowest potential of a task-driven objective function. In this edited volume we present the most prominent mathematical models that are considered in computational vision. To this end, tasks of increasing complexity are considered and we present the state-of-the-art methods to cope with such tasks. The volume consists of six thematic areas that provide answers to the most dominant questions of computational vision:

Image reconstruction,

Segmentation and object extraction,

Shape modeling and registration,

Motion analysis and tracking,

3D from images, geometry and reconstruction

Applications in medical image analysis


3D 3D graphics Alignment Analysis STATISTICA Stereo algorithms computer image analysis image processing model modeling shading

Editors and affiliations

  • Nikos Paragios
    • 1
  • Yunmei Chen
    • 2
  • Olivier Faugeras
    • 3
  1. 1.Ecole Nationale des Ponts et ChausseesChamps sur MarneFrance
  2. 2.University of FloridaGainesvilleUSA
  3. 3.INRIASophia AntipolisFrance

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, Inc. 2006
  • Publisher Name Springer, Boston, MA
  • eBook Packages Computer Science
  • Print ISBN 978-0-387-26371-7
  • Online ISBN 978-0-387-28831-4
  • Buy this book on publisher's site