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Article: On intrinsic representations of 3D polygons for shape blending

TitleOn intrinsic representations of 3D polygons for shape blending
Authors
Keywords3D polygon
Intrinsic representation
Morphing
Shape blending
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/cag
Citation
Computers And Graphics (Pergamon), 2003, v. 27 n. 1, p. 133-141 How to Cite?
AbstractAn intrinsic representation of a geometric object comprises a set of parameters that are invariant under Euclidean transformations and determine the shape and size of the object uniquely. Unlike the case of a two-dimensional polygon which has essentially only one intrinsic representation, a three-dimensional (3D) polygon allows several variations. We study three different intrinsic representations of a 3D polygon, focusing on properties regarding their applications in shape blending. We show that only one of these representations, which is a natural extension to the intrinsic functions of a 3D differentiable curve, is suitable for shape blending, while the others lead to discontinuous shape transformation. Detailed discussions about the evaluation criteria, numerical sensitivity, and an inherent difficulty in shape blending of 3D polygons are also presented. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/89067
ISSN
2015 Impact Factor: 1.12
2015 SCImago Journal Rankings: 0.514
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChen, Hen_HK
dc.contributor.authorWang, Wen_HK
dc.date.accessioned2010-09-06T09:51:58Z-
dc.date.available2010-09-06T09:51:58Z-
dc.date.issued2003en_HK
dc.identifier.citationComputers And Graphics (Pergamon), 2003, v. 27 n. 1, p. 133-141en_HK
dc.identifier.issn0097-8493en_HK
dc.identifier.urihttp://hdl.handle.net/10722/89067-
dc.description.abstractAn intrinsic representation of a geometric object comprises a set of parameters that are invariant under Euclidean transformations and determine the shape and size of the object uniquely. Unlike the case of a two-dimensional polygon which has essentially only one intrinsic representation, a three-dimensional (3D) polygon allows several variations. We study three different intrinsic representations of a 3D polygon, focusing on properties regarding their applications in shape blending. We show that only one of these representations, which is a natural extension to the intrinsic functions of a 3D differentiable curve, is suitable for shape blending, while the others lead to discontinuous shape transformation. Detailed discussions about the evaluation criteria, numerical sensitivity, and an inherent difficulty in shape blending of 3D polygons are also presented. © 2002 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/cagen_HK
dc.relation.ispartofComputers and Graphics (Pergamon)en_HK
dc.subject3D polygonen_HK
dc.subjectIntrinsic representationen_HK
dc.subjectMorphingen_HK
dc.subjectShape blendingen_HK
dc.titleOn intrinsic representations of 3D polygons for shape blendingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0097-8493&volume=27&issue=1&spage=133&epage=141&date=2003&atitle=On+intrinsic+representations+of+3D+polygons+for+shape+blendingen_HK
dc.identifier.emailWang, W:wenping@cs.hku.hken_HK
dc.identifier.authorityWang, W=rp00186en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0097-8493(02)00251-0en_HK
dc.identifier.scopuseid_2-s2.0-0037308116en_HK
dc.identifier.hkuros95063en_HK
dc.identifier.hkuros81570-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037308116&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume27en_HK
dc.identifier.issue1en_HK
dc.identifier.spage133en_HK
dc.identifier.epage141en_HK
dc.identifier.isiWOS:000181096000014-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridChen, H=26642984400en_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK

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