Discrete differential geometry is the study of discrete counterparts of notions in
differential geometry
Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...
. Instead of smooth curves and surfaces, there are
polygons,
meshes, and
simplicial complexes. It is used in the study of
computer graphics
Computer graphics deals with generating images and art with the aid of computers. Computer graphics is a core technology in digital photography, film, video games, digital art, cell phone and computer displays, and many specialized applications. ...
,
geometry processing and
topological combinatorics.
See also
*
Discrete Laplace operator
*
Discrete exterior calculus
*
Discrete Morse theory
*
Topological combinatorics
*
Spectral shape analysis
*
Analysis on fractals
*
Discrete calculus
References
Discrete differential geometry Forum*
*
* Alexander I. Bobenko, Yuri B. Suris (2008), "Discrete Differential Geometry", American Mathematical Society,
Differential geometry
Simplicial sets
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