1. Pythagorean - Hodograph Curves in Practical Use

1. Pythagorean - Hodograph Curves in Practical Use
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1. 毕达哥拉斯 - Hodograph 曲线的实际应用

DOI:
10.1137/1.9781611971668.ch1
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发表时间:
1992
期刊:
Geometry Processing for Design and Manufacturing
影响因子:
--
通讯作者:
R. Farouki
R. Farouki
中科院分区:
--
文献类型:
--
作者:
R. Farouki

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1.1.前言在比较设计曲线以满足各种插补、光滑度和美学要求的问题和处理曲线的问题以便从它们得到某些“程序定义的”几何形式时,人们发现,相对于它们所涉及的数学困难和它们的实际重要性,计算机辅助几何设计(CAGD)界对这些问题的关注程度明显不平衡。
1.1. IntroductionIn comparing the problems ofdesigningcurves to satisfy various interpolatory, smoothness, and aesthetic requirements with those ofprocessingcurves in order to derive certain “procedurally defined” geometric forms from them, one is struck by a marked imbalance in the degree of attention these problems have received from the computer-aided geometric design (CAGD) community, relative to the mathematical difficulties they entail and their practical importance.