CURVE AND SURFACE CONSTRUCTIONS USING RATIONAL B-SPLINES

被引:172
作者
PIEGL, L [1 ]
TILLER, W [1 ]
机构
[1] STRUCT DYNAM RES CORP,MILFORD,OH 45150
关键词
COMPUTER AIDED MANUFACTURING - COMPUTER GRAPHICS;
D O I
10.1016/0010-4485(87)90234-X
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper presents the non-uniform rational B-spline approximation form as a unified approach to representing free-form as well as standard analytic curves and surfaces commonly used in CADCAM. The emphasis is on geometric constructions, not on the underlying mathematical theory. A description is also given of how to represent conic and circular arcs as rational quadratic Bezier curves and how to piece together several circular arcs to form a NURB representation of the full circle.
引用
收藏
页码:485 / 498
页数:14
相关论文
共 37 条
[1]  
AHUJA DV, 1968, IBM SYST J, P188
[2]  
BARTELS R, 1984, SIGGRAPH 84 TUTORIAL
[3]   INSERTING NEW KNOTS INTO B-SPLINE CURVES [J].
BOEHM, W .
COMPUTER-AIDED DESIGN, 1980, 12 (04) :199-201
[4]   THE INSERTION ALGORITHM [J].
BOEHM, W ;
PRAUTZSCH, H .
COMPUTER-AIDED DESIGN, 1985, 17 (02) :58-59
[5]   ON CUBICS - A SURVEY [J].
BOEHM, W .
COMPUTER GRAPHICS AND IMAGE PROCESSING, 1982, 19 (03) :201-226
[6]   SURVEY OF CURVE AND SURFACE METHODS IN CAGD. [J].
Boehm, Wolfgang ;
Farin, Gerald ;
Kahmann, Juergen .
Computer Aided Geometric Design, 1984, 1 (01) :1-60
[7]   DISCRETE B-SPLINES AND SUBDIVISION TECHNIQUES IN COMPUTER-AIDED GEOMETRIC DESIGN AND COMPUTER-GRAPHICS [J].
COHEN, E ;
LYCHE, T ;
RIESENFELD, R .
COMPUTER GRAPHICS AND IMAGE PROCESSING, 1980, 14 (02) :87-111
[8]  
Coons S A., 1967, SURFACES COMPUTER AI
[9]  
Cox M. G., 1972, Journal of the Institute of Mathematics and Its Applications, V10, P134
[10]  
de Boor C., 1972, Journal of Approximation Theory, V6, P50, DOI 10.1016/0021-9045(72)90080-9