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Generating textures on Surfaces with Reaction-Diffusion systems in the GPU

Leonardo Carvalho, Maria Andrade, Luiz Velho
IMPA, Brazil
GPU Computing Developer Forum, 2012

@article{andrade2012generating,

   title={Generating textures on Surfaces with Reaction-Diffusion systems in the GPU},

   author={Andrade, L.C.M. and Velho, L.},

   year={2012}

}

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In this paper we present a method to create textures on smooth surfaces of arbitrary topology using ReactionDiffusion systems in a graphics processing unit (GPU). To do this we use a parametrization of Catmull-Clark subdivision surfaces and obtain the metric information of the distortion caused by this parametrization, so we can calculate differential operators of functions defined on this surface. Then we solve the systems in the domain of parametrization of each patch. This process can be done in parallel for each point in the discretization of the surface, so the GPU implementation can heavily increase the velocity of computation.
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