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Nondissipative Marbling

Jiayi Xu, Xiaoyang Mao, Xiaogang Jin
Zhejiang University, Hangzhou
IEEE Computer Graphics and Applications, Vol.28, No.2, pp. 35-43, 2008

@article{xu2008nondissipative,

   title={Nondissipative marbling},

   author={Xu, J. and Mao, X. and Jin, X.},

   journal={Computer Graphics and Applications, IEEE},

   volume={28},

   number={2},

   pages={35–43},

   year={2008},

   publisher={IEEE}

}

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In this article, we adopt Jin et al.’s GPU-based method to solve the Navier-Stokes equations and model the fluid evolution of the patterning process. Based on this method, we add more flexible dye injection operations and more locally controllable pattern design tools. We based our nondissipative solver on semi-Lagrangian methodology, which eliminates the blur artifacts while keeping the performance speed. We achieve this goal via a new way of mixing the constrained interpolation profile (CIP) and MacCormack methods and applying it to the advection problem. Using this method, we can design many types of figurative pattern marbling arts not possible with previous approaches. A real-time marbling system for creating marbling textures interactively uses a modern CPU. The approach models the marbling texture design process as a 2D fluid-dynamics problem and forms textures as a result of the color advection in the 2D flow fields.
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