Approximate development of trimmed patches for surface tessellation

Cho, W; Patrikalakis, NM; Peraire, J

dc.contributor.author	Cho, W	en
dc.contributor.author	Patrikalakis, NM	en
dc.contributor.author	Peraire, J	en
dc.date.accessioned	2014-03-01T01:47:07Z
dc.date.available	2014-03-01T01:47:07Z
dc.date.issued	1998	en
dc.identifier.issn	00104485	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25153
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032260126&partnerID=40&md5=ac63ce544b66838f4fcb0ea610381097	en
dc.subject	Approximatelocally isometric mapping	en
dc.subject	Surface tessellation	en
dc.subject	Triangulation domain	en
dc.subject	Trimmed parametric surface patch	en
dc.subject.other	Algorithms	en
dc.subject.other	Computational geometry	en
dc.subject.other	Error analysis	en
dc.subject.other	Approximate locally isometric mapping	en
dc.subject.other	Surface tessellation	en
dc.subject.other	Triangulation domain	en
dc.subject.other	Computer aided design	en
dc.title	Approximate development of trimmed patches for surface tessellation	en
heal.type	journalArticle	en
heal.publicationDate	1998	en
heal.abstract	This paper presents a method for constructing an auxiliary planar domain of triangulation for tessellating trimmed parametric surface patches. By minimizing a mapping error function, an approximate locally isometric mapping between a given trimmed parametric surface patch and its triangulation domain is constructed. In this way the shape of triangular elements on the triangulation domainis approximately preserved when mapped into three-dimensional space. We also provide an efficient method to achieve a good initial guess for the minimization of the mapping error function. Furthermore, our proposed method guarantees a homeomorphism between a triangulation domain and parametric space/given surface patch by robustly removing the possibility of self-intersection on the developed surface net. Practical application of the proposed algorithm can include the formation of ship hulls, ducts, shoes, clothing and automobile parts as well as the surface meshing procedure. © 1999 Published by Elsevier Science Ltd. All ri ghts reserved.	en
heal.journalName	CAD Computer Aided Design	en
dc.identifier.volume	30	en
dc.identifier.issue	14	en
dc.identifier.spage	1077	en
dc.identifier.epage	1087	en