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, 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