Linear precision for toric surface patches
Algebraic Geometry
2010-03-01 v2
Abstract
We classify the homogeneous polynomials in three variables whose toric polar linear system defines a Cremona transformation. This classification also includes, as a proper subset, the classification of toric surface patches from geometric modeling which have linear precision. Besides the well-known tensor product patches and B\'ezier triangles, we identify a family of toric patches with trapezoidal shape, each of which has linear precision. B\'ezier triangles and tensor product patches are special cases of trapezoidal patches.
Keywords
Cite
@article{arxiv.0806.3230,
title = {Linear precision for toric surface patches},
author = {Hans-Christian Graf von Bothmer and Kristian Ranestad and Frank Sottile},
journal= {arXiv preprint arXiv:0806.3230},
year = {2010}
}