USING PARTIAL-DIFFERENTIAL EQUATIONS TO GENERATE FREE-FORM SURFACES

被引:134
作者
BLOOR, MIG
WILSON, MJ
机构
[1] Department of Applied Mathematical Studies, The University of Leeds, Leeds
关键词
computer-aided design; free-form surfaces; PDE method;
D O I
10.1016/0010-4485(90)90049-I
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A method of generating free-form surfaces using solutions to a suitably chosen partial differential equation is discussed. By varying the boundary conditions and a parameter in the partial differential equation, it is demonstrated that a wide variety of surface shapes are accessible to the method. © 1990.
引用
收藏
页码:202 / 212
页数:11
相关论文
共 15 条
[11]  
Varady T., 1982, Computers in Industry, V3, P125, DOI 10.1016/0166-3615(82)90040-9
[12]  
Whittaker E.T., 1969, COURSE MODERN ANAL
[13]   CROSS-SECTIONAL DESIGN OF B-SPLINE SURFACES [J].
WOODWARD, CD .
COMPUTERS & GRAPHICS, 1987, 11 (02) :193-&
[14]   SKINNING TECHNIQUES FOR INTERACTIVE B-SPLINE SURFACE INTERPOLATION [J].
WOODWARD, CD .
COMPUTER-AIDED DESIGN, 1988, 20 (08) :441-&
[15]  
Zauderer E., 1983, PARTIAL DIFFERENTIAL