Rational motion-based surface generation

被引:12
作者
Jüttler, B
Wagner, MG
机构
[1] Arizona State Univ, Dept Comp Sci & Engn, Tempe, AZ 85287 USA
[2] Univ Technol, Dept Math, D-64289 Darmstadt, Germany
关键词
surface modeling; NURBS; sweep surface; enveloped surface; rational motion;
D O I
10.1016/S0010-4485(99)00016-0
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This article is devoted to motion-based techniques for generating NURBS surfaces. We present a highly accurate approximation of the rotation-minimizing frame (RMF) of a space curve that leads to a RMF-based scheme for rational sweep surface modeling. Further we study envelopes of moving developable surfaces emphasizing the special cases of a moving cylinder or cone of revolution. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:203 / 213
页数:11
相关论文
共 16 条
[1]   DESIGN OF DEVELOPABLE SURFACES USING DUALITY BETWEEN PLANE AND POINT GEOMETRIES [J].
BODDULURI, RMC ;
RAVANI, B .
COMPUTER-AIDED DESIGN, 1993, 25 (10) :621-632
[2]  
Bottema O., 1979, Theoretical Kinematics
[3]  
FARIN G, 1996, CURVES SURFACES COMP, V4
[4]  
Hoschek J., 1993, Fundamentals of computer aided geometric design
[5]  
HOSCHEK J, 1983, SURFACES COMPUTER AI, P147
[6]   Computer-aided design with spatial rational B-spline motions [J].
Juttler, B ;
Wagner, MG .
JOURNAL OF MECHANICAL DESIGN, 1996, 118 (02) :193-201
[7]  
Juttler B, 1995, MATHEMATICAL METHODS FOR CURVES AND SURFACES, P271
[8]  
Klok F., 1986, Computer-Aided Geometric Design, V3, P217, DOI 10.1016/0167-8396(86)90039-7
[9]  
POTTMANN H, 1994, CURVES AND SURFACES IN GEOMETRIC DESIGN, P377
[10]  
Pottmann H., 1998, International Journal of Shape Modeling, V4, P183, DOI 10.1142/S0218654398000131