非单连通平面Bézier区域的曲面参数化
Surface Parametrization of Nonsimply Connected Planar Bézier Regions
摘要：
描述了一种用于构造由三次贝塞尔曲线（诸如平滑字形）限定的平面区域的三维矢量图形表示的技术。它依赖于一种新的算法，用于将平面Bézier区域复杂地划分为非退化的Coons补丁。新的优化也描述了Bézier内外测试和计算全局边界的方向单调函数的Bézier曲面（如其限界框或最佳视场角）。这些算法是TeX感知矢量图形语言Asymptote的三维插图和排版功能的基础。
英文摘要：
A technique is described for constructing three-dimensional vector graphics representations of planar regions bounded by cubic Bézier curves, such as smooth glyphs. It relies on a novel algorithm for compactly partitioning planar Bézier regions into nondegenerate Coons patches. New optimizations are also described for Bézier inside-outside tests and the computation of global bounds of directionally monotonic functions over a Bézier 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
