Noise smoothing for VR equipment in quaternions

C. C. Hsieh, Y. C. Fang, M. E. Wang, C. K. Wang, M. J. Kim, S. Y. Shin, T. C. Woo

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)581-587
Number of pages7
JournalIIE Transactions (Institute of Industrial Engineers)
Issue number7
Publication statusPublished - 1998 Jul

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering


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