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Conference Paper: Construction of rational curves with rational rotation-minimizing frames via Möbius transformations

TitleConstruction of rational curves with rational rotation-minimizing frames via Möbius transformations
Authors
Bartoň, MJüttler, BWang, W
KeywordsMöbius Transformations
Pythagorean-Hodograph Curve
Rational Rotation-Minimizing Frame
Issue Date2010
PublisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/
Citation
Lecture Notes In Computer Science (Including Subseries Lecture Notes In Artificial Intelligence And Lecture Notes In Bioinformatics), 2010, v. 5862 LNCS, p. 15-25 How to Cite?
DOI: http://dx.doi.org/10.1007/978-3-642-11620-9_2
AbstractWe show that Möbius transformations preserve the rotation-minimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean- hodograph curves and rational frames. Based on these observations we derive an algorithm for G 1 Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames. © 2010 Springer.
Persistent Identifierhttp://hdl.handle.net/10722/151969
ISSN
0302-9743
2023 SCImago Journal Rankings: 0.606
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorBartoň, Men_US
dc.contributor.authorJüttler, Ben_US
dc.contributor.authorWang, Wen_US
dc.date.accessioned2012-06-26T06:31:40Z-
dc.date.available2012-06-26T06:31:40Z-
dc.date.issued2010en_US
dc.identifier.citationLecture Notes In Computer Science (Including Subseries Lecture Notes In Artificial Intelligence And Lecture Notes In Bioinformatics), 2010, v. 5862 LNCS, p. 15-25en_US
dc.identifier.issn0302-9743en_US
dc.identifier.urihttp://hdl.handle.net/10722/151969-
dc.description.abstractWe show that Möbius transformations preserve the rotation-minimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean- hodograph curves and rational frames. Based on these observations we derive an algorithm for G 1 Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames. © 2010 Springer.en_US
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/en_US
dc.relation.ispartofLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)en_US
dc.subjectMöbius Transformationsen_US
dc.subjectPythagorean-Hodograph Curveen_US
dc.subjectRational Rotation-Minimizing Frameen_US
dc.titleConstruction of rational curves with rational rotation-minimizing frames via Möbius transformationsen_US
dc.typeConference_Paperen_US
dc.identifier.emailWang, W:wenping@cs.hku.hken_US
dc.identifier.authorityWang, W=rp00186en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/978-3-642-11620-9_2en_US
dc.identifier.scopuseid_2-s2.0-77950183537en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77950183537&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume5862 LNCSen_US
dc.identifier.spage15en_US
dc.identifier.epage25en_US
dc.publisher.placeGermanyen_US
dc.identifier.scopusauthoridBartoň, M=35268171600en_US
dc.identifier.scopusauthoridJüttler, B=6701753933en_US
dc.identifier.scopusauthoridWang, W=35147101600en_US
dc.identifier.issnl0302-9743-

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