Hsieh, C. C. Fang, Y. C. Wang, M. E. Wang, C. K. Kim, M. J. Shin, S. Y. Woo, T. C.
Appeared in:
IIE transactions
Paging:
Volume 30 (1998) nr. 7 pages 581-587
Year:
1998-07-01
Contents:
Smooth motion generation is an important issue in the computer animation and virtual reality (VR) area. In general, the motion of a rigid body consists of translation and orientation. The former is described by a space curve in 3-dimensional Euclidean space, while the latter is represented by a curve in the unit quaternion space. Although there are well-known techniques for smoothing the translation curve in the Euclidean space, few results have been reported for smoothing motion as a whole. This paper improves the previous study and provides a more robust algorithm, which seeks to minimize the weighted sum of the strain-energy and the sum of the squared errors.