Point-augmented Bi-cubic Subdivision Surfaces

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dc.contributor.authorKarciauskas, Kestutisen_US
dc.contributor.authorPeters, Jorgen_US
dc.contributor.editorUmetani, Nobuyukien_US
dc.contributor.editorWojtan, Chrisen_US
dc.contributor.editorVouga, Etienneen_US
dc.date.accessioned2022-10-04T06:39:26Z
dc.date.available2022-10-04T06:39:26Z
dc.date.issued2022
dc.description.abstractPoint-Augmented Subdivision (PAS) replaces complex geometry-dependent guided subdivision, known to yield high-quality surfaces, by explicit subdivision formulas that yield similarly-good limit surfaces and are easy to implement using any subdivision infrastructure: map the control net d augmented by a fixed central limit point C, to a finer net (˜d;C) = M(d;C), where the subdivision matrix M is assembled from the provided stencil Tables. Point-augmented bi-cubic subdivision improves the state of the art so that bi-cubic subdivision surfaces can be used in high-end geometric design: the highlight line distribution for challenging configurations lacks the shape artifacts usually associated with explicit iterative generalized subdivision operators near extraordinary points. Five explicit formulas define Point-augmented bi-cubic subdivision in addition to uniform B-spline knot insertion. Point-augmented bi-cubic subdivision comes in two flavors, either generating a sequence of C2-joined surface rings (PAS2) or C1-joined rings (PAS1) that have fewer pieces.en_US
dc.description.number7
dc.description.sectionheadersCurves and Meshes
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume41
dc.identifier.doi10.1111/cgf.14653
dc.identifier.issn1467-8659
dc.identifier.pages13-23
dc.identifier.pages11 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.14653
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14653
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.titlePoint-augmented Bi-cubic Subdivision Surfacesen_US
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