Discrete Complex Structure on Surfel Surfaces

Details Discrete Complex Structure on Surfel Surfaces Discrete Complex Structure on Surfel Surfaces

2008-02-12

arxiv.org/abs/0802.1617v1

Dans 14th IAPR International Conference on Discrete Geometry for Computer Imagery - 14th IAPR International Conference on Disc

Computer Science

Computational Geometry

Scientific paper

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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