Overview
- Gives an up-to-date overview of the concepts and techniques in 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Monographs in Computer Science (MCS)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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)Authors and Affiliations
Bibliographic Information
Book Title: Numerical Geometry of Non-Rigid Shapes
Authors: Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel
Series Title: Monographs in Computer Science
DOI: https://doi.org/10.1007/978-0-387-73301-2
Publisher: Springer New York, NY
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-73300-5Published: 23 October 2008
Softcover ISBN: 978-1-4419-2518-3Published: 06 December 2010
eBook ISBN: 978-0-387-73301-2Published: 18 September 2008
Series ISSN: 0172-603X
Series E-ISSN: 2512-5486
Edition Number: 1
Number of Pages: XXII, 346
Number of Illustrations: 10 illustrations in colour
Topics: Computer Imaging, Vision, Pattern Recognition and Graphics, Geometry, Computational Mathematics and Numerical Analysis