Overview
- First book on a newly emerging field of discrete differential geometry, provides an excellent way to access this new exciting area
- Carefully edited collection of essays by key researchers in the field
- Surveys fascinating connections between discrete geometry and differential geometry: for instance circle patterns and triangulated surfaces on the discrete side connect to minimal surfaces and curvature line parametrizations on the differential side
- Includes supplementary material: sn.pub/extras
Part of the book series: Oberwolfach Seminars (OWS, volume 38)
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Table of contents (17 chapters)
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Discretization of Surfaces: Special Classes and Parametrizations
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Curvatures of Discrete Curves and Surfaces
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Geometric Realizations of Combinatorial Surfaces
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Geometry Processing and Modeling with Discrete Differential Geometry
Keywords
About this book
Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field.
Editors and Affiliations
Bibliographic Information
Book Title: Discrete Differential Geometry
Editors: Alexander I. Bobenko, John M. Sullivan, Peter Schröder, Günter M. Ziegler
Series Title: Oberwolfach Seminars
DOI: https://doi.org/10.1007/978-3-7643-8621-4
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Softcover ISBN: 978-3-7643-8620-7Published: 17 January 2008
eBook ISBN: 978-3-7643-8621-4Published: 27 March 2008
Series ISSN: 1661-237X
Series E-ISSN: 2296-5041
Edition Number: 1
Number of Pages: X, 341