Subdivision Schemes With Optimal Bounded Curvature Near Extraordinary Vertices

dc.contributor.authorMa, Yueen_US
dc.contributor.authorMa, Weiyinen_US
dc.contributor.editorFu, Hongbo and Ghosh, Abhijeet and Kopf, Johannesen_US
dc.date.accessioned2018-10-07T15:00:37Z
dc.date.available2018-10-07T15:00:37Z
dc.date.issued2018
dc.description.abstractWe present a novel method to construct subdivision stencils near extraordinary vertices with limit surfaces having optimal bounded curvature at extraordinary positions. With the proposed method, subdivision stencils for newly inserted and updated vertices near extraordinary vertices are first constructed to ensure subdivision with G1 continuity and bounded curvature at extraordinary positions. The remaining degrees of freedom of the constructed subdivision stencils are further used to optimize the eigenbasis functions corresponding to the subsubdominant eigenvalues of the subdivision with respect to G2 continuity constraints. We demonstrate the method by replacing subdivision stencils near extraordinary vertices for Catmull-Clark subdivision and compare the results with the original Catmull-Clark subdivision and previous tuning schemes known with small curvature variation near extraordinary positions. The results show that the proposed method produces subdivision schemes with better or comparable curvature behavior around extraordinary vertices with comparatively simple subdivision stencils.en_US
dc.description.number7
dc.description.sectionheadersSubdivision Surfaces
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume37
dc.identifier.doi10.1111/cgf.13582
dc.identifier.issn1467-8659
dc.identifier.pages455-467
dc.identifier.urihttps://doi.org/10.1111/cgf.13582
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13582
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectMesh geometry models
dc.subjectParametric curve and surface models
dc.subjectApplied computing
dc.subjectComputer
dc.subjectaided design
dc.titleSubdivision Schemes With Optimal Bounded Curvature Near Extraordinary Verticesen_US
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