Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
The NURBS book
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
From Conics to NURBS: A Tutorial and Survey
IEEE Computer Graphics and Applications
Resolution independent curve rendering using programmable graphics hardware
ACM SIGGRAPH 2005 Papers
The TeXbook
Generating strictly non-self-overlapping structured quadrilateral grids
Computer-Aided Design
Automatic pre-tessellation culling
ACM Transactions on Graphics (TOG)
Feature-based decomposition of trimmed surface
Computer-Aided Design
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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.