Smooth Piecewise Polynomial Blending Operations for Implicit Shapes

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dc.contributor.authorLi, Q.en_US
dc.date.accessioned2015-02-21T12:41:46Z
dc.date.available2015-02-21T12:41:46Z
dc.date.issued2007en_US
dc.description.abstractIn this paper, we present a new set of blending operations for implicitly defined geometric shapes. The proposed shape operators are piecewise polynomial and blending range controllable, and can be constructed to any required degree of smoothness. The key idea behind these techniques is the introduction of the concept of the smooth absolute functions, which in turn lead to the definition of smooth maximum functions. These novel generalized absolute functions can be constructed recursively or through a recursively defined functions, and can thus be computed cheaply. In addition, the underlying mathematical descriptions of these shape operations are very simple and elegant.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume26en_US
dc.identifier.doi10.1111/j.1467-8659.2007.01011.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages157-171en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2007.01011.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleSmooth Piecewise Polynomial Blending Operations for Implicit Shapesen_US
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