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Article: A folding index of 2D curves

TitleA folding index of 2D curves
Authors
Choi, YKYan, DWang, W
KeywordsCurve folding
Curve matching
Integral geometry
Issue Date2004
PublisherCAD Solutions. The Journal's web site is located at http://www.cadanda.com
Citation
Computer-Aided Design And Applications, 2004, v. 1 n. 1-4, p. 741-746 How to Cite?
AbstractA new index is proposed for describing the degree of folding of a planar curve segment. Based on a basic concept from integral geometry, the Curve Folding Index (CFI) of a curve segment is defined to be the expected number of intersections that a random line has with the curve. The CFI provides a simple measure to characterize planar curves in terms of the degree of folding, and is shown to be invariant under the similitude transformations. We show by experiments that the CFI conforms to the intuitive perception of folding complexity.
Persistent Identifierhttp://hdl.handle.net/10722/88934
ISSN
1686-4360
2023 SCImago Journal Rankings: 0.245
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChoi, YKen_HK
dc.contributor.authorYan, Den_HK
dc.contributor.authorWang, Wen_HK
dc.date.accessioned2010-09-06T09:50:19Z-
dc.date.available2010-09-06T09:50:19Z-
dc.date.issued2004en_HK
dc.identifier.citationComputer-Aided Design And Applications, 2004, v. 1 n. 1-4, p. 741-746en_HK
dc.identifier.issn1686-4360en_HK
dc.identifier.urihttp://hdl.handle.net/10722/88934-
dc.description.abstractA new index is proposed for describing the degree of folding of a planar curve segment. Based on a basic concept from integral geometry, the Curve Folding Index (CFI) of a curve segment is defined to be the expected number of intersections that a random line has with the curve. The CFI provides a simple measure to characterize planar curves in terms of the degree of folding, and is shown to be invariant under the similitude transformations. We show by experiments that the CFI conforms to the intuitive perception of folding complexity.en_HK
dc.languageengen_HK
dc.publisherCAD Solutions. The Journal's web site is located at http://www.cadanda.comen_HK
dc.relation.ispartofComputer-Aided Design and Applicationsen_HK
dc.subjectCurve foldingen_HK
dc.subjectCurve matchingen_HK
dc.subjectIntegral geometryen_HK
dc.titleA folding index of 2D curvesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1686-4360&volume=1&spage=741&epage=749&date=2004&atitle=A+Folding+Index+of+2D+Curvesen_HK
dc.identifier.emailChoi, YK:ykchoi@cs.hku.hken_HK
dc.identifier.emailWang, W:wenping@cs.hku.hken_HK
dc.identifier.authorityChoi, YK=rp00106en_HK
dc.identifier.authorityWang, W=rp00186en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-78049286875en_HK
dc.identifier.hkuros164925en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78049286875&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume1en_HK
dc.identifier.issue1-4en_HK
dc.identifier.spage741en_HK
dc.identifier.epage746en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChoi, YK=7404777348en_HK
dc.identifier.scopusauthoridYan, D=14825994000en_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK
dc.identifier.issnl1686-4360-

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