Mesh Parameterization: a Viewpoint from Constant Mean Curvature Surfaces

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dc.contributor.authorZhao, Huien_US
dc.contributor.authorSu, Kehuaen_US
dc.contributor.authorLi, Chenchenen_US
dc.contributor.authorZhang, Boyuen_US
dc.contributor.authorLiu, Shiraoen_US
dc.contributor.authorYang, Leien_US
dc.contributor.authorLei, Naen_US
dc.contributor.authorGortler, Steven J.en_US
dc.contributor.authorGu, Xianfengen_US
dc.contributor.editorFu, Hongbo and Ghosh, Abhijeet and Kopf, Johannesen_US
dc.date.accessioned2018-10-07T14:32:00Z
dc.date.available2018-10-07T14:32:00Z
dc.date.issued2018
dc.description.abstractWe present a unified mesh paramterization algorithm for both planar and spheric domains based on mesh deformation. Unlike previous methods, our approach can produce intermediate frames from the original to target meshes. We derive and define a novel geometric flow: unit normal flow(UNF) and prove that if unit normal flow converges, it will deform a surface to a constant mean curvature(CMC) surface, such as plane and sphere. Our method works by deforming meshes of disk topology to planes, meshes of spheric topology to spheres. The unit normal flow we propose also suggests a potential direction for creating CMC surfaces.en_US
dc.description.sectionheadersParameterization and Surface Texture
dc.description.seriesinformationPacific Graphics Short Papers
dc.identifier.doi10.2312/pg.20181272
dc.identifier.isbn978-3-03868-073-4
dc.identifier.pages25-28
dc.identifier.urihttps://doi.org/10.2312/pg.20181272
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/pg20181272
dc.publisherThe Eurographics Associationen_US
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.subjectMesh models
dc.subjectMesh geometry models
dc.titleMesh Parameterization: a Viewpoint from Constant Mean Curvature Surfacesen_US
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