Today I read a paper titled “Discrete Complex Structure on Surfel Surfaces”
The abstract is:
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.