Properties of two types of generalized Ball curves

被引：112

作者：

Hu, SM

Wang, GZ

Jin, TG

机构：

[1] Department of Applied Mathematics, Zhejiang University

来源：

COMPUTER-AIDED DESIGN | 1996年 / 28卷 / 02期

关键词：

Ball curves; Bezier curve; degree elevation; degree reduction; enveloping theorem;

D O I：

10.1016/0010-4485(95)00047-X

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Ball basis was introduced for cubic polynomials by Ball, and was generalized for polynomials of higher degree by Wang and Said. In this paper, we investigate degree elevation and reduction, recursive algorithm, enveloping theorem, and Bezier representation of these two generalized Ball curves. Furthermore, the efficiency of de Casteljau algorithm for Bezier curves and recursive algorithms for two generalized Ball curves is compared.

引用

页码：125 / 133

页数：9

共 16 条

[1]

Ball A. A., 1974, Computer Aided Design, V6, P243, DOI 10.1016/0010-4485(74)90009-8

[2]

Ball A. A., 1977, Computer Aided Design, V9, P9, DOI 10.1016/0010-4485(77)90056-2

[3]

Ball A. A., 1975, Computer Aided Design, V7, P237, DOI 10.1016/0010-4485(75)90068-8

[4]

Bezier P, 1974, COMPUT AIDED GEOM D, P127, DOI DOI 10.1016/B978-0-12-079050-0.50012-6

[5] SURVEY OF CURVE AND SURFACE METHODS IN CAGD. [J].

Boehm, Wolfgang ;

Farin, Gerald ;

Kahmann, Juergen .

Computer Aided Geometric Design, 1984, 1 (01) :1-60

[6]

DECASTELJAU, 1981, SHAPE MATH CAD

[7]

Faux I, 1979, Computational Geometry for Design and Manufacture

[8]

Goodman T. N. T., 1991, Computer-Aided Geometric Design, V8, P115, DOI 10.1016/0167-8396(91)90037-C

[9] PROPERTIES OF GENERALIZED BALL CURVES AND SURFACES [J].

GOODMAN, TNT ;

SAID, HB .

COMPUTER-AIDED DESIGN, 1991, 23 (08) :554-560

[10]

Hu S.M., 1992, P 8 ANN S COMPUTATIO, P110

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