Regularizations of non-euclidean polygons

Abstract

We are interested in easy geometric transformations which regularize n-polygons in the non-euclidean plane. A transformation is called easy if it can be easily implemented into an algorithm. This article is motivated by preceding work on geometric transformations on euclidean polygons and possible applications for non-euclidean meshes.

18 pages, 5 figures

References in corpus (3)

• Polygons in hyperbolic geometry 1: Rigidity and inversion of the n-inequality
• Tessellations of hyperbolic surfaces
• Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume

Cited by in corpus (1)

• GETMe.anis: On geometric polygon transformations leading to anisotropy