%0 Journal Article
%T Surface Parametrization of Nonsimply Connected Planar B¨¦zier Regions
%A Orest Shardt
%A John C. Bowman
%J Computer Science
%D 2010
%I arXiv
%X A technique is described for constructing three-dimensional vector graphics representations of planar regions bounded by cubic B\'ezier curves, such as smooth glyphs. It relies on a novel algorithm for compactly partitioning planar B\'ezier regions into nondegenerate Coons patches. New optimizations are also described for B\'ezier inside-outside tests and the computation of global bounds of directionally monotonic functions over a B\'ezier surface (such as its bounding box or optimal field-of-view angle). These algorithms underlie the three-dimensional illustration and typography features of the TeX-aware vector graphics language Asymptote.
%U http://arxiv.org/abs/1005.2822v2