Approximate Conversion of Parametric to Implicit Surfaces

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dc.contributor.authorVelho, Luizen_US
dc.contributor.authorGomes, Jonasen_US
dc.date.accessioned2014-10-21T07:45:32Z
dc.date.available2014-10-21T07:45:32Z
dc.date.issued1996en_US
dc.description.abstractIn this paper we present a framework for the approximate conversion of parametric to implicit surfaces. It takes as input a parametric description and generates a piecewise analytic implicit representation. The conversion process consists of three steps: 1) the parametric surface is rasterized into a volumetric characteristic function. 2) this binary function is converted into a volume array corresponding to samples of a smooth implicit function. 3) this volumetric representation is converted into a multiscale B-spline model. This method is based on wavelet analysis and synthesis techniques and is very general. It can convert to implicit form any geometric object that is suitable for discretization into a characteristic function.en_US
dc.description.number5en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume15en_US
dc.identifier.doi10.1111/1467-8659.1550327en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages327-337en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.1550327en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleApproximate Conversion of Parametric to Implicit Surfacesen_US
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