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Conference Paper: Orientation interpolation in quaternion space using spherical biarcs
Title  Orientation interpolation in quaternion space using spherical biarcs 

Authors  
Issue Date  1993 
Citation  Proceedings  Graphics Interface, 1993, p. 2432 How to Cite? 
Abstract  We 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 inbetween quaternions efficiently on the resulting spline curve. 
Persistent Identifier  http://hdl.handle.net/10722/151799 
ISSN 
DC Field  Value  Language 

dc.contributor.author  Wang, Wenping  en_US 
dc.contributor.author  Joe, Barry  en_US 
dc.date.accessioned  20120626T06:29:42Z   
dc.date.available  20120626T06:29:42Z   
dc.date.issued  1993  en_US 
dc.identifier.citation  Proceedings  Graphics Interface, 1993, p. 2432  en_US 
dc.identifier.issn  07135424  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/151799   
dc.description.abstract  We 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 inbetween quaternions efficiently on the resulting spline curve.  en_US 
dc.language  eng  en_US 
dc.relation.ispartof  Proceedings  Graphics Interface  en_US 
dc.title  Orientation interpolation in quaternion space using spherical biarcs  en_US 
dc.type  Conference_Paper  en_US 
dc.identifier.email  Wang, Wenping:wenping@cs.hku.hk  en_US 
dc.identifier.authority  Wang, Wenping=rp00186  en_US 
dc.description.nature  link_to_subscribed_fulltext  en_US 
dc.identifier.scopus  eid_2s2.00027832794  en_US 
dc.identifier.spage  24  en_US 
dc.identifier.epage  32  en_US 
dc.publisher.place  Canada  en_US 
dc.identifier.scopusauthorid  Wang, Wenping=35147101600  en_US 
dc.identifier.scopusauthorid  Joe, Barry=7005294816  en_US 