On convexity of planar curves and its application in CAGD

被引:26
作者
Liu, CY
Traas, CR
机构
[1] UNIV TWENTE,DEPT APPL MATH,NL-7500 AE ENSCHEDE,NETHERLANDS
[2] ZHENGZHOU UNIV,DEPT MATH,ZHENGZHOU 450052,PEOPLES R CHINA
关键词
parametric curves; supporting lines; open or closed curves; local convexity; global convexity; convexity preserving;
D O I
10.1016/S0167-8396(96)00055-6
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper presents a necessary and sufficient condition for global convexity of planar curves and some applications of this condition. In addition, various ideas about the concept of convexity in CAGD are discussed. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:653 / 669
页数:17
相关论文
共 16 条
[1]  
BERGER B, 1988, DIFFERENTIAL GEOMETR
[2]  
DEBOOR C, 1988, PRACTICAL GUIDE SPLI
[3]  
FARIN G, 1990, CURVES SURFACES COMP
[4]  
Goodman T. N. T., 1989, Mathematical Methods in Computer Aided Geometric Design, P333
[5]   PROPERTIES OF BETA-SPLINES [J].
GOODMAN, TNT .
JOURNAL OF APPROXIMATION THEORY, 1985, 44 (02) :132-153
[6]   ON THE CONVEXITY OF FUNCTIONAL SPLINES [J].
HARTMANN, E ;
FENG, YY .
COMPUTER AIDED GEOMETRIC DESIGN, 1993, 10 (02) :127-142
[7]  
LIANG Y, 1982, THEORY B SPLINE GEOM
[8]  
LIU C, 1996, UNPUB GEOMETRIC PROO
[9]  
LIU DY, 1982, CHINESE ANN MATH B, V3, P45
[10]  
Ren D., 1988, INTRO INTEGRAL GEOME