SELF-INTERSECTION OF AN OFFSET SURFACE

被引：31

作者：

AOMURA, S ^{[1
]}

UEHARA, T ^{[1
]}

机构：

[1] ONO SYST LAB,CHIYODA KU,TOKYO 102,JAPAN

来源：

COMPUTER-AIDED DESIGN | 1990年 / 22卷 / 07期

关键词：

collapsed offset surface; computer-aided design; self-intersection;

D O I：

10.1016/0010-4485(90)90106-M

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A method is described for obtaining the self-intersection curves of a collapsed offset surface. The method comprises two essential processes. The first is to detect the self-intersection points of a collapsed offset surface by successive unidimensional searches. The second is to calculate self-intersection curves by numerical integration by using some of the points obtained in the first process as initial points. All offset surface data needed is directly generated from the original surface without offset approximation. This method is applied to some collapsed offset surfaces whose original surfaces are defined by a B-spline. © 1990.

引用

页码：417 / 422

页数：6

共 10 条

[1]

Barnhill R. E., 1987, Computer-Aided Geometric Design, V4, P3, DOI 10.1016/0167-8396(87)90020-3

[2]

de Boor C., 1972, Journal of Approximation Theory, V6, P50, DOI 10.1016/0021-9045(72)90080-9

[3] APPROXIMATION OF NON-DEGENERATE OFFSET SURFACES. [J].

Farouki, R.T. .

Computer Aided Geometric Design, 1986, 3 (01) :15-43

[4]

Gordon W., 1974, COMPUT AIDED GEOM D, P95

[5]

HIMMELBLAU DM, 1972, APPLIED NONLINEAR PR, P167

[6] OFFSET CURVES IN THE PLANE [J].

HOSCHEK, J .

COMPUTER-AIDED DESIGN, 1985, 17 (02) :77-82

[7]

Houghton E. G., 1985, Computer-Aided Geometric Design, V2, P173, DOI 10.1016/0167-8396(85)90022-6

[8]

KONDO T, 1988, J JAPAN SOC PRECISIO, V54, P167

[9]

LAPIDUS L, 1962, DIGITAL COMPUTATION, P89

[10] OFFSET APPROXIMATION OF UNIFORM B-SPLINES [J].

PHAM, B .

COMPUTER-AIDED DESIGN, 1988, 20 (08) :471-474

← 1 →