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Birkhäuser - Birkhäuser Mathematics | Discrete Differential Geometry

Discrete Differential Geometry

Series: Oberwolfach Seminars, Vol. 38

Bobenko, A.I., Schröder, P., Sullivan, J.M., Ziegler, G.M. (Eds.)

2008

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  • First book on a newly emerging field of discrete differential geometry providing 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

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.

Content Level » Research

Keywords » Minimal surface - computer grapics - curvature - differential geometry - discrete geometry - polyhedral surface

Related subjects » Birkhäuser Mathematics

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