UNIFIED APPROACH TO NURBS CURVE SHAPE MODIFICATION

被引：75
作者：
AU, CK
YUEN, MMF
机构：
[1] Mechanical Engineering Department, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon
来源：
COMPUTER-AIDED DESIGN | 1995年 / 27卷 / 02期
关键词：
NURBS; CONTROL POINTS; POSITIONAL CONSTRAINTS;
D O I：
10.1016/0010-4485(95)92148-L
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The shape of NURBs curves can be varied by altering the knot sequences, control point locations and weights of control points. The paper presents a unified approach that modifies the shape of NURBs curves by altering the weights and the location of the control points simultaneously. The effect of the result of the variation is studied for each of the methods. A homogeneous coordinate representation is introduced to provide some physical insight into the weights of the control points.
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页码：85 / 93
页数：9
相关论文
共 11 条
[1]  
Bartels R. H., 1989, Proceedings. Graphics Interface'89, P33
[2]  
BOEHM W, 1985, COMPUT AIDED GEOM DE, P141
[3]  
FARIN G, 1983, COMPUT AIDED DESIGN, V5, P73
[4]  
FOWLER B, 1993, COMPUTER GRAPHICS AP, P43
[5]   CURVE AND SURFACE CONSTRUCTIONS USING RATIONAL B-SPLINES [J].
PIEGL, L ;
TILLER, W .
COMPUTER-AIDED DESIGN, 1987, 19 (09) :485-498
[6]   MODIFYING THE SHAPE OF RATIONAL B-SPLINES .1. CURVES [J].
PIEGL, L .
COMPUTER-AIDED DESIGN, 1989, 21 (08) :509-518
[7]  
PIEGL LA, 1991, STATE ART COMPUTER G
[8]  
PRAUTZSCH H, 1984, CAGD, P193
[9]  
SHETTY S, 1991, THESIS U TOLEDO
[10]   RATIONAL B-SPLINES FOR CURVE AND SURFACE REPRESENTATION [J].
TILLER, W .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1983, 3 (06) :61-&
12