Polar NURBS Surface with Curvature Continuity

Simple item page
dc.contributor.authorShi, Kan-Leen_US
dc.contributor.authorYong, Jun-Haien_US
dc.contributor.authorTang, Leien_US
dc.contributor.authorSun, Jia-Guangen_US
dc.contributor.authorPaul, Jean-Claudeen_US
dc.contributor.editorB. Levy, X. Tong, and K. Yinen_US
dc.date.accessioned2015-02-28T16:13:01Z
dc.date.available2015-02-28T16:13:01Z
dc.date.issued2013en_US
dc.description.abstractPolar NURBS surface is a kind of periodic NURBS surface, one boundary of which shrinks to a degenerate polar point. The specific topology of its control-point mesh offers the ability to represent a cap-like surface, which is common in geometric modeling. However, there is a critical and challenging problem that hinders its application: curvature continuity at the extraordinary singular pole. We first propose a sufficient and necessary condition of curvature continuity at the pole. Then, we present constructive methods for the two key problems respectively: how to construct a polar NURBS surface with curvature continuity and how to reform an ordinary polar NURBS surface to curvature continuous. The algorithms only depend on the symbolic representation and operations of NURBS, and they introduce no restrictions on the degree or the knot vectors. Examples and comparisons demonstrate the applications of the curvature-continuous polar NURBS surface in hole-filling and free-shape modeling.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.doi10.1111/cgf.12244en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12244en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectCurveen_US
dc.subjectsurfaceen_US
dc.subjectsoliden_US
dc.subjectand object representationsen_US
dc.subjectSplinesen_US
dc.titlePolar NURBS Surface with Curvature Continuityen_US
Files
Collections
32-Issue 7