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Conference Paper: Orientation interpolation in quaternion space using spherical biarcs

TitleOrientation interpolation in quaternion space using spherical biarcs
Authors
Issue Date1993
Citation
Proceedings - Graphics Interface, 1993, p. 24-32 How to Cite?
AbstractWe consider the problem of interpolating a smooth curve to a point sequence in the unit quaternion space μ. This problem has application to object orientation interpolation in computer animation, sweep surface generation in solid modeling. Since the unit quaternions form the unit spheres S3 in E4, a simple curve scheme using spherical biarcs is presented to solve this problem. The spherical biarc is a curve on a sphere consisting of two smoothly joining circular arcs. It is shown that for any two given points and two tangents specified at the two points on the unit sphere, S3, there always exist spherical biarcs interpolating these data and these biarcs are easy to construct. This leads to an algorithm for constructing a smooth and locally controllable circular arc spline curve to interpolate a sequence of unit quaternions in μ. We also discuss how to compute in-between quaternions efficiently on the resulting spline curve.
Persistent Identifierhttp://hdl.handle.net/10722/151799
ISSN

 

DC FieldValueLanguage
dc.contributor.authorWang, Wenpingen_US
dc.contributor.authorJoe, Barryen_US
dc.date.accessioned2012-06-26T06:29:42Z-
dc.date.available2012-06-26T06:29:42Z-
dc.date.issued1993en_US
dc.identifier.citationProceedings - Graphics Interface, 1993, p. 24-32en_US
dc.identifier.issn0713-5424en_US
dc.identifier.urihttp://hdl.handle.net/10722/151799-
dc.description.abstractWe consider the problem of interpolating a smooth curve to a point sequence in the unit quaternion space μ. This problem has application to object orientation interpolation in computer animation, sweep surface generation in solid modeling. Since the unit quaternions form the unit spheres S3 in E4, a simple curve scheme using spherical biarcs is presented to solve this problem. The spherical biarc is a curve on a sphere consisting of two smoothly joining circular arcs. It is shown that for any two given points and two tangents specified at the two points on the unit sphere, S3, there always exist spherical biarcs interpolating these data and these biarcs are easy to construct. This leads to an algorithm for constructing a smooth and locally controllable circular arc spline curve to interpolate a sequence of unit quaternions in μ. We also discuss how to compute in-between quaternions efficiently on the resulting spline curve.en_US
dc.languageengen_US
dc.relation.ispartofProceedings - Graphics Interfaceen_US
dc.titleOrientation interpolation in quaternion space using spherical biarcsen_US
dc.typeConference_Paperen_US
dc.identifier.emailWang, Wenping:wenping@cs.hku.hken_US
dc.identifier.authorityWang, Wenping=rp00186en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0027832794en_US
dc.identifier.spage24en_US
dc.identifier.epage32en_US
dc.publisher.placeCanadaen_US
dc.identifier.scopusauthoridWang, Wenping=35147101600en_US
dc.identifier.scopusauthoridJoe, Barry=7005294816en_US

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