%0 Journal Article
%T Linear precision for toric surface patches
%A Hans-Christian Graf von Bothmer
%A Kristian Ranestad
%A Frank Sottile
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s10208-009-9052-6
%X 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.
%U http://arxiv.org/abs/0806.3230v2