C-curves: An extension of cubic curves

被引：201

作者：

Zhang, JW

机构：

[1] State Key Laboratory of CAD and CG, Mechanical Engineering Department, Zhejiang University

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1996年 / 13卷 / 03期

关键词：

cubic C-Ferguson curve; Bezier curve; uniform B-spline; C-Ferguson curve; C-Bezier curve; C-B-spline; NURBS;

D O I：

10.1016/0167-8396(95)00022-4

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A linearly parametrized set of curves, named C-curves, is suggested with basis sin t, cos t, t, and 1. C-curves are an extension of cubic curves, they depend on a parameter alpha > 0, and their limiting case for alpha --> 0 is a cubic curve. They can deal with free 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 form curves and surfaces in engineering.

引用

页码：199 / 217

页数：19