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