Interactive Visualization of Implicit Surfaces with Singularities

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dc.contributor.authorRosch, Angelaen_US
dc.contributor.authorRuhl, Matthiasen_US
dc.contributor.authorSaupe, Dietmaren_US
dc.date.accessioned2015-02-15T18:23:11Z
dc.date.available2015-02-15T18:23:11Z
dc.date.issued1997en_US
dc.description.abstractThis paper presents work on two methods for interactive visualization of implicit surfaces: physically-based sampling using particle systems and polygonization followed by physically-based mesh improvement which explicitly makes use of the surface-defining equation. While most previous work applied to bounded manifolds without singularities and without boundary (topological spheres) we broaden the scope of the methods to include surfaces with such features, in particular cusp points and surface self-intersections. These aspects are not (yet) essential for computer graphics modelling with implicit surfaces but they naturally occur in simulations of interest in mathematical visualization. In this paper we use the Kummer family of algebraic surfaces as an example.en_US
dc.description.number5en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume16en_US
dc.identifier.doi10.1111/1467-8659.00196en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages295-306en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00196en_US
dc.publisherBlackwell Publishers Ltd and the Eurographics Associationen_US
dc.titleInteractive Visualization of Implicit Surfaces with Singularitiesen_US
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