REPRESENTING PDE SURFACES IN TERMS OF B-SPLINES

被引：64

作者：

BLOOR, MIG

WILSON, MJ

机构：

[1] Department of Applied Mathematical Studies, The University of Leeds, Leeds

来源：

COMPUTER-AIDED DESIGN | 1990年 / 22卷 / 06期

关键词：

B-splines; geometry; partial differential equations; surfaces;

D O I：

10.1016/0010-4485(90)90083-O

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A method is presented for approximating surfaces, which are the solutions of partial differential equations, in terms of B-splines so that they can be represented in a form which is compatible with more established techniques of surface design. This allows surface data generated in this way to be incorporated into other design systems. Furthermore, the properties of B-splines can be used to good effect to enhance the PDE method, and this is illustrated by exercising local control of the surface shape in one of the examples given in the results. © 1990.

引用

页码：324 / &

共 18 条

[1]

[Anonymous], 1981, INTRO NUMERICAL METH

[2]

B?zier P.E., 1986, MATH BASIS UNISURF C

[3] USING PARTIAL-DIFFERENTIAL EQUATIONS TO GENERATE FREE-FORM SURFACES [J].