Numerical Geometry of Non-Rigid Shapes

• Main Authors: Bronstein, Alexander M. (Author), Bronstein, Michael M. (Author), Kimmel, Ron. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Monographs in Computer Science,
• Subjects: Computer science.; Computer vision.; Computer science > Mathematics.; Geometry.; Computer Science.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Computational Mathematics and Numerical Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-73301-2

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, wh...

Table of Contents:

• Introduction
• A Taste of Geometry
• Discrete Geometry
• Shortest Paths and Fast Marching Methods
• Numerical Optimization
• In the Rigid Kingdom
• Multidimensional Scaling
• Spectral Embedding
• Non-Euclidean Embedding
• Isometry-Invariant Similarity
• Partial Similarity
• Non-Rigid Correspondence and Calculus of Shapes
• Three-Dimensional Face Recognition
• Epilogue
• Solutions of Selected Problems
• Software
• Notation
• Acronyms
• Glossary
• References
• Subject Index
• Author Index.