DC Field | Value | Language |
dc.contributor.author | Campen, Marcel | |
dc.contributor.author | Capouellez, Ryan | |
dc.contributor.author | Shen, Hanxiao | |
dc.contributor.author | Zhu, Leyi | |
dc.contributor.author | Panozzo, Daniele | |
dc.contributor.author | Zorin, Denis | |
dc.date.accessioned | 2023-02-17T11:33:44Z | - |
dc.date.available | 2023-02-17T11:33:44Z | - |
dc.date.issued | 2021 | |
dc.identifier.issn | 0730-0301 | |
dc.identifier.uri | http://osnascholar.ub.uni-osnabrueck.de/handle/unios/65383 | - |
dc.description.abstract | We describe an efficient algorithm to compute a discrete metric with prescribed Gaussian curvature at all interior vertices and prescribed geodesic curvature along the boundary of a mesh. The metric is (discretely) conformally equivalent to the input metric. Its construction is based on theory developed in [Gu et al. 2018b] and [Springborn 2020], relying on results on hyperbolic ideal Delaunay triangulations. Generality is achieved by considering the surface's intrinsic triangulation as a degree of freedom, and particular attention is paid to the proper treatment of surface boundaries. While via a double cover approach the case with boundary can be reduced to the case without boundary quite naturally, the implied symmetry of the setting causes additional challenges related to stable Delaunay-critical configurations that we address explicitly. We furthermore explore the numerical limits of the approach and derive continuous maps from the discrete metrics. | |
dc.description.sponsorship | NSF CAREER award [1652515, DMS-1821334, OAC1835712, OIA-1937043, CHS-1908767, CHS-1901091]; Supported by NSF CAREER award 1652515, DMS-1821334, OAC1835712, OIA-1937043, CHS-1908767, CHS-1901091, a gift from Adobe Research, a gift from nTopology, and a gift from Advanced Micro Devices, Inc. | |
dc.language.iso | en | |
dc.publisher | ASSOC COMPUTING MACHINERY | |
dc.relation.ispartof | ACM TRANSACTIONS ON GRAPHICS | |
dc.subject | ALGORITHM | |
dc.subject | Computer Science | |
dc.subject | Computer Science, Software Engineering | |
dc.subject | cone metric | |
dc.subject | conformal map | |
dc.subject | conformal parametrization | |
dc.subject | edge flip | |
dc.subject | intrinsic Delaunay | |
dc.subject | intrinsic triangulation | |
dc.subject | SURFACES | |
dc.subject | UNIFORMIZATION THEOREM | |
dc.title | Efficient and Robust Discrete Conformal Equivalence with Boundary | |
dc.type | journal article | |
dc.identifier.doi | 10.1145/3478513.3480557 | |
dc.identifier.isi | ISI:000729846700066 | |
dc.description.volume | 40 | |
dc.description.issue | 6 | |
dc.contributor.orcid | 0000-0001-7733-5501 | |
dc.identifier.eissn | 1557-7368 | |
dc.publisher.place | 1601 Broadway, 10th Floor, NEW YORK, NY USA | |
dcterms.isPartOf.abbreviation | ACM Trans. Graph. | |
dcterms.oaStatus | Green Submitted | |
local.import.remains | affiliations : University Osnabruck; New York University | |
local.import.remains | web-of-science-index : Science Citation Index Expanded (SCI-EXPANDED) | |
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 | - |