Numerical Geometry of Non-Rigid Shapes
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-rig
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MONOGRAPHS IN COMPUTER SCIENCE
NUMERICAL GEOMETRY OF
NUMERICAL GEOMETRY OF NON-RIGID SHAPES Alexander M. Bronstein Michael M. Bronstein Ron Kimmel
Monographs in Computer Science
Editors David Gries Fred B. Schneider
Monographs in Computer Science Abadi and Cardelli, A Theory of Objects Alagic, Rational Database Technology Bauer and W¨ossner, Algorithmic Language and Program Development Benosman and Kang [editors], Panoramic Vision: Sensors, Theory, and Applications Bhanu, Lin, and Krawiec, Evolutionary Synthesis of Pattern Recognition Systems Bronstein, Bronstein, and Kimmel, Numerical Geometry of Non-Rigid Shapes Broy and Stolen, Specification and Development of Interactive Systems Brzozowzki and Seger, Asynchronous Circuits Burgin, Super-Recursive Algorithms Cantone, Omodeo, Policriti, and Schwartz, Set Theory for Computing: From Decision Procedures to Declarative Programming with Sets Downey and Fellows: Parameterized Complexity Feijen, Gasteren, Gries, and Misra [editors], Beauty is our Business: A Birthday Salute to Edsger W. Dijkstra Feijen and Gasteren, On a Method of Multiprogramming Gries, The Science of Programming Gries and Schneider, A Logical Approach to Discrete Math Grune and Jacobs, Parsing Technique: A Practical Guide Hehner, A Practical Theory of Programming Herbert and Sp¨arck Jones [editors], Computer Systems: Theory, Technology, and Applications Heydon, Levin, Mann, and Yu, Software Configuration Management Using Vesta Kozen, The Design and Analysis of Algorithms Mclver and Morgan, Abstraction, Refinement, and Proof for Probabilistic Systems Mclver and Morgan [editors], Programming Methodology Mishra, Algorithmic Algebra Misra, A Discipline of Multiprogramming: Programming Theory for Distributed Applications Partsch, Specification and Transformation of Programs: A Formal Approach to Software Development Paton [editor], Active Runes in Database Systems Poernomo, Crossley, and Wirsing, Adapting Proofs-as-Programs: The Curry-Howard Protocol Preparata and Shamos, Computational Geometry: An Introduction Randell [editor], The Origins of Digital Computers: Selected Papers Reps and Teitelbaum, The Synthesizer Generator Reference Manual Selig, Geometric Fundamentals of Robotics Sasha and Zhu, High Performance Discovery in Time Series: Techniques and Case Studies Tonella and Potrich, Reverse Engineering of Object Oriented Code Vit´anyi, Algorithmic Statistics
Alexander M. Bronstein Michael M. Bronstein Ron Kimmel
Numerical Geometry of Non-Rigid Shapes With 10 Color Figures
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Alexander M. Bronstein Technion-Israel Institute of Technology Haifa, Israel [email protected]
Michael M. Bronstein Technion-Israel Institute of Technology Haifa, Israel [email protected]
Ron Kimmel Technion-Israel Institute of Technology Haifa, Israel [email protected]
ISSN: 0172-603x ISBN: 978-0-387-73300-5 DOI 10.1007/978-0-387-73301-2
e-ISBN: 978-0-387-73301-2
Library of Congress Control Number: 2008934481 Mathematics Subject Classification (2000): 53AØ5, 52C25, 49M37 c 2008 Springer Science+Business
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