The notion of discrete conformal equivalence for polyhedral surfaces is based on a simple definition:
Two polyhedral surfaces are discretely conformally equivalent if the edge lengths are related by scale factors assigned to the vertices. It leads to a surprisingly rich theory.
The notion of discrete conformal equivalence is extended from triangulated surfaces to polyhedral surfaces with faces that are inscribed in circles.
A. I. Bobenko, S. Sechelmann, and B. Springborn.
Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization.
In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
Prof. Dr. Alexander I. Bobenko +
University: TU Berlin, Institut für Mathematik, MA 881
Address: Straße des 17. Juni 136, 10623 Berlin, GERMANY
Tel: +49 (30) 314 24655