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 a 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 a few - are applied to find solutions.|
Numerical geometry of non-rigid shapes gives an overview of current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. Self-contained presentation of topics unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text.
The book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It could be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.
- Up-to-date overview of the concepts and techniques in analysis and synthesis of non-rigid shapes.
- Bridge between theoretical and applied fields, including computer vision, pattern recognition and computer graphics.
- Practical state-of-the-art algorithms and methods exemplified on real applications.
- Vivid and engaging exposition enriched by numerous figures and everyday examples.
- Reference to public domain and commercial software.
Published by Springer Verlag in 2008
50 illustrations (7 in color)