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Discrete Complex Structure on Surfel Surfaces
Acte de colloque   Open Access

Discrete Complex Structure on Surfel Surfaces

Christian Mercat
14th IAPR International Conference on Discrete Geometry for Computer Imagery, Vol.4992/2008, pp.153-164
Lecture Notes in Computer Science
14th IAPR International Conference on Discrete Geometry for Computer Imagery (Lyon, France, 16/04/2008)
2008

Résumé

discrete Riemann surfaces digital geometry discrete differential geometry 37K25, 30G25
This paper defines a theory of conformal parametrization of digital surfaces made of surfels equipped with a normal vector. The main idea is to locally project each surfel to the tangent plane, therefore deforming its aspect-ratio. It is a generalization of the theory known for polyhedral surfaces. The main difference is that the conformal ratios that appear are no longer real in general. It yields a generalization of the standard Laplacian on weighted graphs.

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