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Conference Paper: Classification and properties of space biarcs

TitleClassification and properties of space biarcs
Authors
Issue Date1993
PublisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xml
Citation
Proceedings Of Spie - The International Society For Optical Engineering, 1993, v. 1830, p. 184-195 How to Cite?
AbstractSpace biarcs are curves in Ed, d≥ 2, composed of two smoothly joining circular arcs. The existence and properties of space biarcs as Hermite interpolants are studied, i.e. two distinct points in Ed and two target directions specified at the two points are interpolated at the two ends of a space biarc. Our approach makes use of some recent results on spherical biarcs [Wan92], which are special space biarcs lying on the unit sphere Sd ⊂ Ed+1, and the one-to-one correspondence between space biarcs in Ed and spherical biarcs on Sd given by the stereographic projection from Sd to Ed.
Persistent Identifierhttp://hdl.handle.net/10722/151796
ISSN

 

DC FieldValueLanguage
dc.contributor.authorWang, Wenpingen_US
dc.contributor.authorJoe, Barryen_US
dc.date.accessioned2012-06-26T06:29:36Z-
dc.date.available2012-06-26T06:29:36Z-
dc.date.issued1993en_US
dc.identifier.citationProceedings Of Spie - The International Society For Optical Engineering, 1993, v. 1830, p. 184-195en_US
dc.identifier.issn0277-786Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/151796-
dc.description.abstractSpace biarcs are curves in Ed, d≥ 2, composed of two smoothly joining circular arcs. The existence and properties of space biarcs as Hermite interpolants are studied, i.e. two distinct points in Ed and two target directions specified at the two points are interpolated at the two ends of a space biarc. Our approach makes use of some recent results on spherical biarcs [Wan92], which are special space biarcs lying on the unit sphere Sd ⊂ Ed+1, and the one-to-one correspondence between space biarcs in Ed and spherical biarcs on Sd given by the stereographic projection from Sd to Ed.en_US
dc.languageengen_US
dc.publisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xmlen_US
dc.relation.ispartofProceedings of SPIE - The International Society for Optical Engineeringen_US
dc.titleClassification and properties of space 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-s2.0-0027256910en_US
dc.identifier.volume1830en_US
dc.identifier.spage184en_US
dc.identifier.epage195en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWang, Wenping=35147101600en_US
dc.identifier.scopusauthoridJoe, Barry=7005294816en_US

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