VISUALIZATION OF MOVING-OBJECTS USING DUAL QUATERNION CURVES

被引：61

作者：

JUTTLER, B

机构：

[1] Technische Hochschule Darmstadt, Fachbereich Mathematik, AG Differentialgeometrie und Kinematik, D-64289 Darmstadt

来源：

COMPUTERS & GRAPHICS | 1994年 / 18卷 / 03期

关键词：

D O I：

10.1016/0097-8493(94)90033-7

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The interpolation of some positions (= point + orientation) of a moving object is examined with help of dual quaternion curves. In order to apply the powerful methods of computer-aided geometric design, an interpolating motion whose trajectories are rational Bezier curves is constructed. The interpolation problem is discussed from a mechanical and a geometrical viewpoint. A representation formula for rational motions of fixed order is presented. Finally, the construction of rational spline motions is outlined. Dual quaternions prove to be very useful in computer graphics.

引用

页码：315 / 326

页数：12