Mathematical Tools for Shape Analysis and Description
Seiten
2014
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-363-1 (ISBN)
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-363-1 (ISBN)
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A guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis.
This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice.
This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice.
Consiglio Nazionale delle Ricerche, Italy
Acknowledgments
Figure Credits
About this Book
3D Shape Analysis in a Nutshell
Geometry, Topology, and Shape Representation
Differential Geometry and Shape Analysis
Spectral Methods for Shape Analysis
Maps and Distances between Spaces
Algebraic Topology and Topology Invariants
Differential Topology and Shape Analysis
Reeb Graphs
Morse and Morse-Smale Complexes
Topological Persistence
Beyond Geometry and Topology
Resources
Bibliography
Authors' Biographies
| Erscheint lt. Verlag | 30.9.2014 |
|---|---|
| Reihe/Serie | Synthesis Lectures on Computer Graphics and Animation |
| Verlagsort | San Rafael, CA |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 279 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Grafik / Design |
| Informatik ► Web / Internet ► Web Design / Usability | |
| ISBN-10 | 1-62705-363-8 / 1627053638 |
| ISBN-13 | 978-1-62705-363-1 / 9781627053631 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
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