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Monographs in Computer Science

Numerical Geometry of Non-Rigid Shapes

Authors: Bronstein, Alexander M., Bronstein, Michael M., Kimmel, Ron

  • Gives an up-to-date overview of the concepts and techniques in the analysis and synthesis of non-rigid shapes
  • Bridges the gap between theoretical and applied fields, spanning computer vision, pattern recognition and computer graphics
  • Presents practical state-of-the-art algorithms and methods illustrated in real applications
  • Engages the reader by using numerous figures and everyday examples
  • Reference to public domain and commercial software
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eBook $44.99
price for USA
  • ISBN 978-0-387-73301-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $59.99
price for USA
  • ISBN 978-0-387-73300-5
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $59.99
price for USA
  • ISBN 978-1-4419-2518-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention several - are applied to find solutions.

This book gives an overview of the current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. The presentation unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow at the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text.

This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It may be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.

Reviews

From the reviews:

"This book provides an introduction to this geometry. … Overall, the book … does explain relevant mathematical notions, such as Gromov’s metric geometry ideas, in a very understandable and entertaining way, with numerous images and exercises. … I highly recommend it to both computer scientists interested in learning more about the latest advances in computational geometry and to geometers looking for applications. This unique book can serve as an excellent textbook for many related courses, for self-study, or as a reference." (V. Kreinovich, ACM Computing Reviews, May, 2009)

“Numerical geometry of non-rigid shapes by A. Bronstein, M. Bronstein, and R. Kimmel combines the beauty of modern mathematics … with the interesting field of computer vision and pattern recognition. … The book is developed at an intermediate-advanced level. Students will find the material clear and easy to understand, and will benefit from its good presentation.” (Stefan Henn, Mathematical Reviews, Issue 2010 b)

Table of contents (14 chapters)

  • Introduction

    Bronstein, Alexander (et al.)

    Pages 1-9

  • A Taste of Geometry

    Bronstein, Alexander (et al.)

    Pages 11-40

  • Discrete Geometry

    Bronstein, Alexander (et al.)

    Pages 41-65

  • Shortest Paths and Fast Marching Methods

    Bronstein, Alexander (et al.)

    Pages 67-91

  • Numerical Optimization

    Bronstein, Alexander (et al.)

    Pages 93-118

Buy this book

eBook $44.99
price for USA
  • ISBN 978-0-387-73301-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $59.99
price for USA
  • ISBN 978-0-387-73300-5
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $59.99
price for USA
  • ISBN 978-1-4419-2518-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Numerical Geometry of Non-Rigid Shapes
Authors
Series Title
Monographs in Computer Science
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-73301-2
DOI
10.1007/978-0-387-73301-2
Hardcover ISBN
978-0-387-73300-5
Softcover ISBN
978-1-4419-2518-3
Series ISSN
0172-603X
Edition Number
1
Number of Pages
XXII, 346
Number of Illustrations and Tables
10 illustrations in colour
Topics