Quad Layouts via Constrained T-Mesh Quantization

dc.contributor.authorLyon, Maxen_US
dc.contributor.authorCampen, Marcelen_US
dc.contributor.authorKobbelt, Leifen_US
dc.contributor.editorMitra, Niloy and Viola, Ivanen_US
dc.date.accessioned2021-04-09T08:00:44Z
dc.date.available2021-04-09T08:00:44Z
dc.date.issued2021
dc.description.abstractWe present a robust and fast method for the creation of conforming quad layouts on surfaces. Our algorithm is based on the quantization of a T-mesh, i.e. an assignment of integer lengths to the sides of a non-conforming rectangular partition of the surface. This representation has the benefit of being able to encode an infinite number of layout connectivity options in a finite manner, which guarantees that a valid layout can always be found. We carefully construct the T-mesh from a given seamless parametrization such that the algorithm can provide guarantees on the results' quality. In particular, the user can specify a bound on the angular deviation of layout edges from prescribed directions. We solve an integer linear program (ILP) to find a coarse quad layout adhering to that maximal deviation. Our algorithm is guaranteed to yield a conforming quad layout free of T-junctions together with bounded angle distortion. Our results show that the presented method is fast, reliable, and achieves high quality layouts.en_US
dc.description.number2
dc.description.sectionheadersMesh Generation
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume40
dc.identifier.doi10.1111/cgf.142634
dc.identifier.issn1467-8659
dc.identifier.pages305-314
dc.identifier.urihttps://doi.org/10.1111/cgf.142634
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf142634
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectComputer graphics
dc.subjectMesh models
dc.subjectMesh geometry models
dc.subjectShape modeling
dc.titleQuad Layouts via Constrained T-Mesh Quantizationen_US
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