摘要
本文讨论了一种新的参数曲线，我们称为Ｃ曲线，这种曲线是由一组新的基ｓｉｎ（ｔ），ｃｏｓ（ｔ），ｔ和１组成的．Ｃ曲线是三次样条曲线的推广，它们依赖于参数α＞０，而且对于α→０时，它们的极限是三次样条曲线，这种方法能够处理自由曲线和曲面，并且提供了圆和圆柱精确的重新产生．所以，它们能用于在工程表示和处理规则的曲线和曲面．
A linearly parametrized set of curves, named C-curves,is suggested withbasis:sin(t),cos(t),t and 1.C-curves are an extension Of cubic curves.They depend on aparameter α>0,and their limiting case for α→0 is a cubic curves.They can deal withfree form curves and surfaces, and provide exact reproduction of circles and Cylinders.So,they could be used to unify the representation and processing of both free and normal formcurves and surfaces in engineering.
出处
《计算机辅助工程》
1996年第3期12-20,共9页
Computer Aided Engineering
