Polygonal Surface Advection applied to Strange Attractors

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dc.contributor.authorYan, S.en_US
dc.contributor.authorMax, N.en_US
dc.contributor.authorMa, K.-L.en_US
dc.date.accessioned2015-02-23T17:38:08Z
dc.date.available2015-02-23T17:38:08Z
dc.date.issued2010en_US
dc.description.abstractStrange attractors of 3D vector field flows sometimes have a fractal geometric structure in one dimension, and smooth surface behavior in the other two. General flow visualization methods show the flow dynamics well, but not the fractal structure. Here we approximate the attractor by polygonal surfaces, which reveal the fractal geometry. We start with a polygonal approximation which neglects the fractal dimension, and then deform it by the flow to create multiple sheets of the fractal structure. We use adaptive subdivision, mesh decimation, and retiling methods to preserve the quality of the polygonal surface in the face of extreme stretching, bending, and creasing caused by the flow. A GPU implementation provides efficient visualization, which we also apply to other turbulent flows.en_US
dc.description.number7en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume29en_US
dc.identifier.doi10.1111/j.1467-8659.2010.01817.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages2281-2290en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2010.01817.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titlePolygonal Surface Advection applied to Strange Attractorsen_US
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