GPU smoothing of quad meshes

T. Ni, Y. Yeo, A. Myles, V. Goel, J. Peters
University of Florida, Gainesville, FL
IEEE International Conference on Shape Modeling and Applications, 2008. SMI 2008


   title={GPU smoothing of quad meshes},

   author={Ni, T. and Yeo, Y. and Myles, A. and Goel, V. and Peters, J.},




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We present a fast algorithm for converting quad meshes on the GPU to smooth surfaces. Meshes with 12,000 input quads, of which 60% have one or more non-4-valent vertices, are converted, evaluated and rendered with 9times9 resolution per quad at 50 frames per second. The conversion reproduces bi-cubic splines wherever possible and closely mimics the shape of the Catmull-Clark subdivision surface by c-patches where a vertex has a valence different from 4. The smooth surface is piecewise polynomial and has well-defined normals everywhere. The evaluation avoids pixel dropout.
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