DEVELOPABLE RATIONAL BEZIER AND B-SPLINE SURFACES

被引：110

作者：

POTTMANN, H ^{[1
]}

FARIN, G ^{[1
]}

机构：

[1] ARIZONA STATE UNIV,TEMPE,AZ 85287

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1995年 / 12卷 / 05期

关键词：

DEVELOPABLE SURFACE; RATIONAL BEZIER REPRESENTATION; NURBS; DUAL BEZIER CURVE; PRINCIPLE OF DUALITY; PROJECTIVE GEOMETRY;

D O I：

10.1016/0167-8396(94)00031-M

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A constructive geometric approach to developable rational Bezier and B-spline surfaces is presented. It is based on the dual representation in the sense of projective geometry. By the principle of duality, projective algorithms for NURBS curves can be transferred to constructions for developable NURBS surfaces in dual rational B-spline form. We discuss the conversion to the usual tenser product representation of the obtained surfaces and develop algorithms for basic design problems arising in this context.

引用

页码：513 / 531

页数：19

共 34 条

[1] APPROXIMATE DEVELOPMENT OF SKEW RULED SURFACES [J].