Volumetric texture synthesis using fundamental solution methods

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Conference Proceeding

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We present a volumetric texture synthesis technology that interpolates the interior solid texture from the boundary surface texture mapping. The interpolation is based on the (poly-)cube mapping and fundamental solution method. The (poly-)cube texture map indicates the boundary constraint for the fundamental solution, which then computes two harmonic scalar fields coherent to this boundary configuration. Given a solid geometric object with a closed genus-0 boundary surface, we first map the boundary surface onto a (poly-)cube; then compute the mapping from the (poly-)cube to the 2-dimensional texture coordinates space; finally use this as the boundary condition to compute harmonic volumetric fields for interpolating the interior solid texture. We demonstrate the effectiveness of this algorithm in isotropic 3D texture synthesis. ©2009 IEEE.

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Proceedings of 2009 4th International Conference on Computer Science and Education, ICCSE 2009

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