A C2 Polar Jet Subdivision

dc.contributor.authorKarciauskas, K.en_US
dc.contributor.authorMyles, A.en_US
dc.contributor.authorPeters, J.en_US
dc.contributor.editorAlla Sheffer and Konrad Polthieren_US
dc.date.accessioned2014-01-29T08:14:04Z
dc.date.available2014-01-29T08:14:04Z
dc.date.issued2006en_US
dc.description.abstractWe describe a subdivision scheme that acts on control nodes that each carry a vector of values. Each vector defines partial derivatives, referred to as jets in the following and subdivision computes new jets from old jets. By default, the jets are automatically initialized from a design mesh. While the approach applies more generally, we consider here only a restricted class of design meshes, consisting of extraordinary nodes surrounded by triangles and otherwise quadrilaterals with interior nodes of valence four. This polar mesh structure is appropriate for surfaces with the combinatorial structure of objects of revolution and for high valences. The resulting surfaces are curvature continuous with good curvature distribution near extraordinary points. Near extraordinary points the surfaces are piecewise polynomial of degree (6,5), away they are standard bicubic splines.en_US
dc.description.seriesinformationSymposium on Geometry Processingen_US
dc.identifier.isbn3-905673-24-Xen_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP06/173-180en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Curve, Surface, Solid, and Object Representationsen_US
dc.titleA C2 Polar Jet Subdivisionen_US
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