Numerical Geometry of Non-Rigid Shapes

  • Alexander M. Bronstein
  • Michael M. Bronstein
  • Ron Kimmel

Part of the Monographs in Computer Science book series (MCS)

Table of contents

  1. Front Matter
    Pages I-XXI
  2. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 1-9
  3. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 11-40
  4. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 41-65
  5. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 67-91
  6. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 93-118
  7. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 119-135
  8. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 137-167
  9. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 169-186
  10. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 187-204
  11. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 205-215
  12. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 217-238
  13. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 239-259
  14. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 261-275
  15. Alexander Bronstein, Michael Bronstein, Ron Kimmel
    Pages 277-277
  16. Back Matter
    Pages 279-340

About this book

Introduction

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.

Keywords

computer graphics computer vision discrete geometry geometric modeling modeling numerical geometry similarity

Authors and affiliations

  • Alexander M. Bronstein
    • 1
  • Michael M. Bronstein
    • 2
  • Ron Kimmel
    • 3
  1. 1.Dept. Computer ScienceTechnion-Israel Institute of TechnologyTechnion City, HaifaIsrael
  2. 2.Dept. Computer ScienceTechnion-Israel Institute of TechnologyTechnion City, HaifaIsrael
  3. 3.Dept. Computer ScienceTechnion-Israel Institute of TechnologyTechnion City, HaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-73301-2
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Computer Science
  • Print ISBN 978-0-387-73300-5
  • Online ISBN 978-0-387-73301-2
  • Series Print ISSN 0172-603X
  • About this book