Noise smoothing for VR equipment in quaternions |
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| Authors: | C. C. Hsieh Y. C. Fang M. E. Wang C. K. Wang M. J. Kim S. Y. Shin T.C. Woo |
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| Affiliation: | a Department of Industrial and Operations Engineering, University of Michigan, USAb Computer Graphics Laboratory, System Engineering Research Institute, Taejon, Koreac Department of Computer Science, Korea Advanced Institute of Science and Technology, Taejon, Koread Department of Industrial Engineering, University of Washington, Seattle, WA, USA |
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| Abstract: | 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. |
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