Efficient piecewise higher-order parametrization of discrete surfaces with local and global injectivity

DC FieldValueLanguage
dc.contributor.authorMandad, Manish
dc.contributor.authorCampen, Marcel
dc.date.accessioned2021-12-23T16:01:17Z-
dc.date.available2021-12-23T16:01:17Z-
dc.date.issued2020
dc.identifier.issn00104485
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/4875-
dc.descriptionSymposium on Solid and Physical Modeling (SPM) collocated with the Shape Modeling International Conference (SMI), ELECTR NETWORK, JUN 02-04, 2020
dc.description.abstractThe parametrization of triangle meshes, in particular by means of computing a map onto the plane, is a key operation in computer graphics. Typically, a piecewise linear setting is assumed, i.e., the map is linear per triangle. We present a method for the efficient computation and optimization of piecewise nonlinear parametrizations, with higher-order polynomial maps per triangle. We describe how recent advances in piecewise linear parametrization, in particular efficient second-order optimization based on majorization, as well as practically important constraints, such as local injectivity, global injectivity, and seamlessness, can be generalized to this higher-order regime. Not surprisingly, parametrizations of higher quality, i.e., lower distortion, can be obtained that way, as we demonstrate on a variety of examples. (C) 2020 Elsevier Ltd. All rights reserved.
dc.language.isoen
dc.publisherELSEVIER SCI LTD
dc.relation.ispartofCOMPUTER-AIDED DESIGN
dc.subject3D
dc.subjectALGORITHM
dc.subjectBezier triangles
dc.subjectBOUNDARY
dc.subjectComputer Science
dc.subjectComputer Science, Software Engineering
dc.subjectCONSTRUCTION
dc.subjectCURVED MESHES
dc.subjectHessian majorization
dc.subjectMAPPINGS
dc.subjectMESH GENERATION
dc.subjectPARAMETERIZATION
dc.subjectQUALITY
dc.subjectSYMMETRIC QUADRATURE-RULES
dc.titleEfficient piecewise higher-order parametrization of discrete surfaces with local and global injectivity
dc.typeconference paper
dc.identifier.doi10.1016/j.cad.2020.102862
dc.identifier.isiISI:000557998800007
dc.description.volume127
dc.contributor.orcid0000-0003-2340-3462
dc.contributor.orcid0000-0001-7849-3077
dc.contributor.researcheridABB-8625-2021
dc.identifier.eissn18792685
dc.publisher.placeTHE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND
dcterms.isPartOf.abbreviationComput.-Aided Des.
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.orcid0000-0003-2340-3462-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidCaMa281-
Show simple item record

Page view(s)

2
Last Week
0
Last month
1
checked on Apr 17, 2024

Google ScholarTM

Check

Altmetric