Nonsplitting Macro Patches for Implicit Cubic Spline Surfaces

dc.contributor.authorGuo, B.en_US
dc.date.accessioned2014-10-21T07:25:42Z
dc.date.available2014-10-21T07:25:42Z
dc.date.issued1993en_US
dc.description.abstractMacro patches are important for generating quadric or cubic implicit spline surfaces from the input of a polyhedron. All existing macro patches split the triangular facets of the polyhedron- this paper presents cubic nonsplitting macro patches (NMP) that do not split these facets. The NMP s are based on a necessary and sufficient condition for nonsplitting constructions of implicit cubic spline surfaces. This condition can be satisfied for most practical applications, so the NMP s lead to an efficient and powerful spline surface scheme using implicit cubics. The free parameters in an NMP are set using a new technique for excluding topological anomalies such as extraneous sheets, splits, unwanted holes, self-intersections, and unwanted handles. Each cubic patch obtained by this technique best approximates, in a least-squares sense, a quadric patch from a single algebraic component of a monotone polynomial derived from the input data.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume12en_US
dc.identifier.doi10.1111/1467-8659.1230433en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages433-445en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.1230433en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleNonsplitting Macro Patches for Implicit Cubic Spline Surfacesen_US
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