Discrete differential geometry
The topic of Discrete differential geometry is one that has captured the attention of many people as of late. From its impact on society to its implications on daily life, Discrete differential geometry has generated widespread interest in various fields. As we continue to explore and better understand Discrete differential geometry, new perspectives and questions arise that invite us to reflect on its importance and relevance. In this article, we will dive into the different facets of Discrete differential geometry, examining its influence in different areas and discussing its significance in the current context.
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, geometry processing and topological combinatorics.
See also
- Discrete Laplace operator
- Discrete exterior calculus
- Discrete Morse theory
- Topological combinatorics
- Spectral shape analysis
- Abstract differential geometry
- Analysis on fractals
- Discrete calculus
References
- Discrete differential geometry Forum
- Keenan Crane; Max Wardetzky (November 2017). "A Glimpse into Discrete Differential Geometry". Notices of the American Mathematical Society. 64 (10): 1153–1159. doi:10.1090/noti1578.
- Alexander I. Bobenko; Peter Schröder; John M. Sullivan; Günter M. Ziegler (2008). Discrete differential geometry. Birkhäuser Verlag AG. ISBN 978-3-7643-8620-7.
- Alexander I. Bobenko, Yuri B. Suris (2008), "Discrete Differential Geometry", American Mathematical Society, ISBN 978-0-8218-4700-8
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