Selective Degree Elevation for Multi-Sided Bézier Patches

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dc.contributor.authorSmith, Jasonen_US
dc.contributor.authorSchaefer, Scotten_US
dc.contributor.editorOlga Sorkine-Hornung and Michael Wimmeren_US
dc.date.accessioned2015-04-16T07:46:13Z
dc.date.available2015-04-16T07:46:13Z
dc.date.issued2015en_US
dc.description.abstractThis paper presents a method to selectively elevate the degree of an S-Patch of arbitrary dimension. We consider not only S-Patches with 2D domains but 3D and higher-dimensional domains as well, of which volumetric cage deformations are a subset. We show how to selectively insert control points of a higher degree patch into a lower degree patch while maintaining the polynomial reproduction order of the original patch. This process allows the user to elevate the degree of only one portion of the patch to add new degrees of freedom or maintain continuity with adjacent patches without elevating the degree of the entire patch, which could create far more degrees of freedom than necessary. Finally we show an application to cage-based deformations where we increase the number of control points by elevating the degree of a subset of cage faces. The result is a cage deformation with higher degree triangular Bézier functions on a subset of cage faces but no interior control points.en_US
dc.description.number2en_US
dc.description.sectionheadersSplines & Meshesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume34en_US
dc.identifier.doi10.1111/cgf.12588en_US
dc.identifier.pages609-615en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12588en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.subjectLine and curve generationen_US
dc.titleSelective Degree Elevation for Multi-Sided Bézier Patchesen_US
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