DC Field | Value | Language |
dc.contributor.author | Mandad, Manish | |
dc.contributor.author | Campen, Marcel | |
dc.date.accessioned | 2021-12-23T16:01:17Z | - |
dc.date.available | 2021-12-23T16:01:17Z | - |
dc.date.issued | 2020 | |
dc.identifier.issn | 00104485 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/4875 | - |
dc.description | Symposium on Solid and Physical Modeling (SPM) collocated with the Shape Modeling International Conference (SMI), ELECTR NETWORK, JUN 02-04, 2020 | |
dc.description.abstract | The 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.iso | en | |
dc.publisher | ELSEVIER SCI LTD | |
dc.relation.ispartof | COMPUTER-AIDED DESIGN | |
dc.subject | 3D | |
dc.subject | ALGORITHM | |
dc.subject | Bezier triangles | |
dc.subject | BOUNDARY | |
dc.subject | Computer Science | |
dc.subject | Computer Science, Software Engineering | |
dc.subject | CONSTRUCTION | |
dc.subject | CURVED MESHES | |
dc.subject | Hessian majorization | |
dc.subject | MAPPINGS | |
dc.subject | MESH GENERATION | |
dc.subject | PARAMETERIZATION | |
dc.subject | QUALITY | |
dc.subject | SYMMETRIC QUADRATURE-RULES | |
dc.title | Efficient piecewise higher-order parametrization of discrete surfaces with local and global injectivity | |
dc.type | conference paper | |
dc.identifier.doi | 10.1016/j.cad.2020.102862 | |
dc.identifier.isi | ISI:000557998800007 | |
dc.description.volume | 127 | |
dc.contributor.orcid | 0000-0003-2340-3462 | |
dc.contributor.orcid | 0000-0001-7849-3077 | |
dc.contributor.researcherid | ABB-8625-2021 | |
dc.identifier.eissn | 18792685 | |
dc.publisher.place | THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND | |
dcterms.isPartOf.abbreviation | Comput.-Aided Des. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.orcid | 0000-0003-2340-3462 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | CaMa281 | - |