Multisided B-spline Patches Over Extraordinary Regions

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dc.contributor.authorHettinga, Gerben J.en_US
dc.contributor.authorKosinka, Jirien_US
dc.contributor.editorBiasotti, Silvia and Pintus, Ruggero and Berretti, Stefanoen_US
dc.date.accessioned2020-11-12T05:42:00Z
dc.date.available2020-11-12T05:42:00Z
dc.date.issued2020
dc.description.abstractWe propose a generalised B-spline construction that extends uniform bi-degree B-splines to multisided regions spanned over extraordinary regions in quad-dominant meshes. We show how the structure of the existing cubic multisided B-spline patch can be generalised to work with B-spline basis functions of arbitrary degree and can be spanned over extraordinary vertices as well as extraordinary faces of quad-dominant meshes. The resulting multisided surfaces are Cd-1 continuous internally and connect with Gd-1 continuity to adjacent regular and other multisided B-splines patches. In addition, we design several specialised functions that increase the visual quality of the patches, in both the extraordinary vertex and face settings.en_US
dc.description.sectionheadersMeshes and Curves
dc.description.seriesinformationSmart Tools and Apps for Graphics - Eurographics Italian Chapter Conference
dc.identifier.doi10.2312/stag.20201235
dc.identifier.isbn978-3-03868-124-3
dc.identifier.issn2617-4855
dc.identifier.pages9-17
dc.identifier.urihttps://doi.org/10.2312/stag.20201235
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/stag20201235
dc.publisherThe Eurographics Associationen_US
dc.subjectComputing methodologies
dc.subjectParametric curve and surface models
dc.titleMultisided B-spline Patches Over Extraordinary Regionsen_US
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Italian Chapter Conference 2020 - Smart Tools and Apps in computer Graphics