Surface parameterization of nonsimply connected planar Bezier regions
A technique is described for constructing three-dimensional vector graphics representations of planar regions bounded by cubic Bezier curves, such as smooth glyphs. It relies on a novel algorithm for compactly partitioning planar Bezier regions into nondegenerate Coons patches. New optimizations are also described for Bezier inside-outside tests and the computation of global bounds of directionally monotonic functions over a Bezier surface (such as its axis-aligned 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. (C) 2011 Elsevier Ltd. All rights reserved.
vector graphics nondegenerate coons patches inside-outside test directionally monotonic functions bezier surfaces bounding box field-of-view angle asymptote curved triangulation nonsimply connected domains prc 3d tex