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Discrete Complex Structure on Surfel Surfaces (0802.1617v1)
Published 12 Feb 2008 in cs.CG, cs.GR, and math.CV
Abstract: 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.