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. Inrecent years, non-rigid shapes have attracted growing interest, which has ledto 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 currentstate 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. Gives an up-to-date overview of the concepts and techniques in analysis and synthesis of non-rigid shapes Bridges the gap between theoretical and applied fields, spanning computer vision, pattern recognition and computer graphics Presents practical state-of-the-art algorithms and methods illustrated in real applications Engages the reader by using numerous figures and everyday examples INDICE: 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.
- ISBN: 978-0-387-73300-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 370
- Fecha Publicación: 01/11/2008
- Nº Volúmenes: 1
- Idioma: Inglés