Discrete Complex Structure on Surfel Surfaces
Computational Geometry
2008-02-18 v1 Graphics
Complex Variables
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.
Cite
@article{arxiv.0802.1617,
title = {Discrete Complex Structure on Surfel Surfaces},
author = {Christian Mercat},
journal= {arXiv preprint arXiv:0802.1617},
year = {2008}
}