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Handbook of Mathematical Models in Computer Vision

Editors: Paragios, Nikos, Chen, Yunmei, Faugeras, Olivier D. (Eds.)

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  • ISBN 978-0-387-28831-4
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Hardcover $149.00
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  • ISBN 978-0-387-26371-7
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Softcover $149.00
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  • ISBN 978-1-4419-3885-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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

Reviews

From the reviews:

"The focus of the book is on mathematical methods that both model and reproduce human visual abilities. ... This book is a must-have for those interested in the full breadth of research done in the biological & computer vision community. As a bonus, the chapters can also be used in a seminar-based, advanced undergraduate course in mathematical based computer vision. " (Arjan Kuijper, IAPR Newsletter, October, 2006)

"Computational visual perception can be defined as the discipline of enabling computers to identify features in image data. … I found this book to be detailed and comprehensive enough to be well worth the time spent on it. Citations linking the text to the relevant literature are profusely sprinkled throughout the text, and a very extensive bibliography is included … . the production qualities are excellent. … it should be a useful reference text for researchers or practitioners in this field." (R. M. Malyankar, Computing Reviews, January, 2006)

"The editors of this important compendium view their task as a contribution to modeling and simulating human vision by machine. … The editors should be congratulated for bringing together high-level researchers to contribute chapters on cutting-edge technologies based on mathematical modeling. This compendium is a solid contribution to the recent literature combining the theories and applications of mathematical modeling to the domain of computer vision." (R. Goldberg, Computing Reviews, June, 2006)


Table of contents (10 chapters)

  • Total Variation Image Restoration: Overview and Recent Developments

    T. Chan, S. Esedoglu, F. Park, A. Yip

    Pages 17-31

  • PDE-Based Image and Surface Inpainting

    M. Bertalmío, V. Caselles, G. Haro, G. Sapiro

    Pages 33-61

  • Graph Cuts in Vision and Graphics: Theories and Applications

    Y. Boykov, O. Veksler

    Pages 79-96

  • Optical Flow Estimation

    D. Fleet, Y. Weiss

    Pages 237-257

  • Visual Tracking: A Short Research Roadmap

    A. Blake

    Pages 293-307

Buy this book

eBook $109.00
price for USA
  • ISBN 978-0-387-28831-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-387-26371-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4419-3885-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Mathematical Models in Computer Vision
Editors
  • Nikos Paragios
  • Yunmei Chen
  • Olivier D. Faugeras
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-28831-4
DOI
10.1007/0-387-28831-7
Hardcover ISBN
978-0-387-26371-7
Softcover ISBN
978-1-4419-3885-5
Edition Number
1
Number of Pages
XXXIV, 606
Topics