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 eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2009.
• Series: Monographs in Computer Science,
• Subjects: Computer science.; Computer graphics.; Computer mathematics.; Geometry.; Computer Science.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Computational Mathematics and Numerical Analysis.

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:

• 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.