Planar cubic hybrid hyperbolic polynomial curve and its shape classification

被引:7
作者
Wang, GZ [1 ]
Yang, QM
机构
[1] Zhejiang Univ, Inst Comp Graph & Image Proc, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
关键词
hybrid hyperbolic polynomial curve; H-Bezier curve; shape classification; inflection points; singularities;
D O I
10.1080/10020070412331343121
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The planar cubic hybrid hyperbolic polynomial curves and cubic H-Bezier curves are presented. The conditions leading to inflection points and singularities (cusps and loops) are investigated and the shape of these curves is classified. The conclusions enable us to detect inflection points and singularities and get an idea of how to preserve the fair shape when designing such curves.
引用
收藏
页码:41 / 46
页数:6
相关论文
共 11 条
[1]  
FARIAMARMOL J, 1989, PASTURAS TROPICALES, V9, P2
[2]   THE TWISTED CUBIC CURVE - A COMPUTER-AIDED GEOMETRIC DESIGN APPROACH [J].
FORREST, AR .
COMPUTER-AIDED DESIGN, 1980, 12 (04) :165-172
[3]   HODOGRAPH APPROACH TO GEOMETRIC CHARACTERIZATION OF PARAMETRIC CUBIC CURVES [J].
KIM, DS .
COMPUTER-AIDED DESIGN, 1993, 25 (10) :644-654
[4]   Identification of inflection points and cusps on rational curves [J].
Li, YM ;
Cripps, RJ .
COMPUTER AIDED GEOMETRIC DESIGN, 1997, 14 (05) :491-497
[5]  
Manocha D., 1992, Computer-Aided Geometric Design, V9, P1, DOI 10.1016/0167-8396(92)90050-Y
[6]   Singularities of rational Bezier curves [J].
Monterde, J .
COMPUTER AIDED GEOMETRIC DESIGN, 2001, 18 (08) :805-816
[7]   Infection points and singularities on planar rational cubic curve segments [J].
Sakai, M .
COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (03) :149-156
[8]   A GEOMETRIC CHARACTERIZATION OF PARAMETRIC CUBIC CURVES [J].
STONE, MC ;
DEROSE, TD .
ACM TRANSACTIONS ON GRAPHICS, 1989, 8 (03) :147-163
[9]  
SU BQ, 1989, COMPUTATIONAL GEOMET