Curvature line parametrization from circle patterns
Differential Geometry
2007-06-25 v1
Abstract
We study local and global approximations of smooth nets of curvature lines and smooth conjugate nets by respective discrete nets (circular nets and planar quadrilateral nets) with infinitesimal quads. It is shown that choosing the points of discrete nets on the smooth surface one can obtain second-order approximation globally. Also a simple geometric construction for approximate determination of principal directions of smooth surfaces is given.
Keywords
Cite
@article{arxiv.0706.3221,
title = {Curvature line parametrization from circle patterns},
author = {A. I. Bobenko and S. P. Tsarev},
journal= {arXiv preprint arXiv:0706.3221},
year = {2007}
}