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

doi:10.1080/07408179808966503

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

Executive Master of Business Administration (EMBA)

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	581-587
Number of pages	7
Journal	IIE Transactions (Institute of Industrial Engineers)
Volume	30
Issue number	7
DOIs	https://doi.org/10.1080/07408179808966503
Publication status	Published - 1998 Jul

All Science Journal Classification (ASJC) codes

Industrial and Manufacturing Engineering

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10.1080/07408179808966503

Cite this

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title = "Noise smoothing for VR equipment in quaternions",

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.",

author = "Hsieh, {C. C.} and Fang, {Y. C.} and Wang, {M. E.} and Wang, {C. K.} and Kim, {M. J.} and Shin, {S. Y.} and Woo, {T. C.}",

note = "Funding Information: Tony Woo is a Professor of Industrial Engineering, Adjunct Professor of Mechanical Engineering, and holder of the John M. Fluke Distinguished Chair in Manufacturing Engineering at the University of Washington. He previously held positions at the University of Michigan and the National Science Foundation. His research and teaching interests are in computational geometry for design and manufacturing. He received his education in Electrical Engineering at the University of Illinois.",

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AU - Fang, Y. C.

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AU - Wang, C. K.

AU - Kim, M. J.

AU - Shin, S. Y.

AU - Woo, T. C.

N1 - Funding Information: Tony Woo is a Professor of Industrial Engineering, Adjunct Professor of Mechanical Engineering, and holder of the John M. Fluke Distinguished Chair in Manufacturing Engineering at the University of Washington. He previously held positions at the University of Michigan and the National Science Foundation. His research and teaching interests are in computational geometry for design and manufacturing. He received his education in Electrical Engineering at the University of Illinois.

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Noise smoothing for VR equipment in quaternions

Abstract

All Science Journal Classification (ASJC) codes

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