Craig S. Kaplan.
Semiregular patterns on surfaces.
In NPAR '09:
Proceedings of the 7th international symposium on non-photorealistic
animation and rendering, pages 35-39, 2009.
Abstract
Inspired by recent advances in high-quality mesh parameterization,
I present a technique for decorating surfaces with seamless ornamental
patterns. The patterns are transferred from planar drawings with
wallpaper symmetry. I show that when the original drawing belongs
to one of a few specific symmetry groups, then it can easily be
rendered with low distortion on a suitably parameterized mesh. The
result is not symmetric, but retains most of the structure of the
original drawing.