Discrete differential geometry

Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there are polygons, meshes, and simplicial complexes. It is used in the study of computer graphics and topological combinatorics.

See also

• Discrete exterior calculus
• Discrete Morse theory
• Topological combinatorics
• Shape analysis
• Abstract differential geometry
• Analysis on fractals

References

• Discrete differential geometry Forum
• Alexander I. Bobenko, Peter Schröder, John M. Sullivan, Günter M. Ziegler (2008). Discrete differential geometry. Birkhauser Verlag AG. ISBN 978-3764386207. 
• Alexander I. Bobenko, Yuri B. Suris (2008), "Discrete Differential Geometry", American Mathematical Society, ISBN 978-0821847008

This geometry-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Geometry stubs Differential geometry Simplicial sets Wikimedia Foundation. 2010. Игры ⚽ Поможем написать реферат A Preferred List .222 Rimmed Look at other dictionaries: Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… …   Wikipedia Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia Discrete Morse theory — is a combinatorial adaptation of Morse theory defined on finite CW complexes. Contents 1 Notation regarding CW complexes 2 Discrete Morse functions 3 The Morse complex …   Wikipedia Discrete mathematics — For the mathematics journal, see Discrete Mathematics (journal). Graphs like this are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real world problems, and their… …   Wikipedia Discrete geometry — A collection of circles and the corresponding unit disk graph Combinatorial geometry redirects here. The term combinatorial geometry is also used in the theory of matroids to refer to a simple matroid, especially in older texts. Discrete geometry …   Wikipedia Discrete exterior calculus — In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs and finite element meshes. DEC methods have proved to be very powerful in improving and analyzing finite element… …   Wikipedia Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… …   Wikipedia Differential topology — In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. It is closely related to differential geometry and together they make up the geometric theory of differentiable manifolds.… …   Wikipedia Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …   Wikipedia Geometry and topology — In mathematics, geometry and topology is an umbrella term for geometry and topology, as the line between these two is often blurred, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”