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Article: Computing quadric surface intersections based on an analysis of plane cubic curves

TitleComputing quadric surface intersections based on an analysis of plane cubic curves
Authors
Wang, WJoe, BGoldman, R
Issue Date2002
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/gmod
Citation
Graphical Models, 2002, v. 64 n. 6, p. 335-367 How to Cite?
DOI: http://dx.doi.org/10.1016/S1077-3169(02)00018-7
AbstractComputing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizing the intersection curve of two quadric surfaces. The method is based on the observation that the intersection curve of two quadrics is birationally related to a plane cubic curve. In the method this plane cubic curve is computed first and the intersection curve of the two quadrics is then found by transforming the cubic curve by a rational quadratic mapping. Topological classification and parameterization of the intersection curve are achieved by invoking results from algebraic geometry on plane cubic curves. © 2003 Elsevier Science (USA). All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/89084
ISSN
1524-0703
2021 Impact Factor: 1.094
2020 SCImago Journal Rankings: 0.220
ISI Accession Number ID
WOS:000182649000001
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorWang, Wen_HK
dc.contributor.authorJoe, Ben_HK
dc.contributor.authorGoldman, Ren_HK
dc.date.accessioned2010-09-06T09:52:11Z-
dc.date.available2010-09-06T09:52:11Z-
dc.date.issued2002en_HK
dc.identifier.citationGraphical Models, 2002, v. 64 n. 6, p. 335-367en_HK
dc.identifier.issn1524-0703en_HK
dc.identifier.urihttp://hdl.handle.net/10722/89084-
dc.description.abstractComputing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizing the intersection curve of two quadric surfaces. The method is based on the observation that the intersection curve of two quadrics is birationally related to a plane cubic curve. In the method this plane cubic curve is computed first and the intersection curve of the two quadrics is then found by transforming the cubic curve by a rational quadratic mapping. Topological classification and parameterization of the intersection curve are achieved by invoking results from algebraic geometry on plane cubic curves. © 2003 Elsevier Science (USA). All rights reserved.en_HK
dc.languageengen_HK
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/gmoden_HK
dc.relation.ispartofGraphical Modelsen_HK
dc.titleComputing quadric surface intersections based on an analysis of plane cubic curvesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1524-0703&volume=64&issue=6&spage=335&epage=367&date=2002&atitle=Computing+quadric+surface+intersections+based+on+an+analysis+of+plane+cubic+curvesen_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/S1077-3169(02)00018-7en_HK
dc.identifier.scopuseid_2-s2.0-0038576282en_HK
dc.identifier.hkuros81564en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0038576282&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume64en_HK
dc.identifier.issue6en_HK
dc.identifier.spage335en_HK
dc.identifier.epage367en_HK
dc.identifier.isiWOS:000182649000001-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK
dc.identifier.scopusauthoridJoe, B=7005294816en_HK
dc.identifier.scopusauthoridGoldman, R=7402001143en_HK
dc.identifier.issnl1524-0703-

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