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Visualizing Complex Functions Using GPUs

Khaldoon Ghanem
RWTH Aachen University, German Research School for Simulation Sciences, Wilhelm-Johnen-Strasse, 52428 Julich
JSC – Guest Student Programme, 2012

@article{ghanem2012visualizing,

   title={Visualizing Complex Functions Using GPUs},

   author={Ghanem, K.},

   year={2012}

}

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This document explains some common methods of visualizing complex functions and how to implement them on the GPU. Using the fragment shader, we visualize complex functions in the complex plane with the domain coloring method. Then using the vertex shader, we visualize complex functions defined on a unit sphere like spherical harmonics. Finally, we redesign the marching tetrahedra algorithm to work on the GPGPU frameworks and use it for visualizing complex scaler fields in 3D space.
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