HEAL DSpace

Approximate development of trimmed patches for surface tessellation

Αποθετήριο DSpace/Manakin

Εμφάνιση απλής εγγραφής

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


Αρχεία σε αυτό το τεκμήριο

Αρχεία Μέγεθος Μορφότυπο Προβολή

Δεν υπάρχουν αρχεία που σχετίζονται με αυτό το τεκμήριο.

Αυτό το τεκμήριο εμφανίζεται στην ακόλουθη συλλογή(ές)

Εμφάνιση απλής εγγραφής