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Issue No. 02 - February (2011 vol. 17)
ISSN: 1077-2626
pp: 231-243
Yuanyuan Li , Arizona State University, Tempe
Fan Bao , Arizona State University, Tempe
Eugene Zhang , Oregon State University, Corvaliis
Yoshihiro Kobayashi , Arizona State University, Tempe
Peter Wonka , Arizona State University, Tempe
We show how to model geometric patterns on surfaces. We build on the concept of shape grammars to allow the grammars to be guided by a vector or tensor field. Our approach affords greater artistic freedom in design and enables the use of grammars to create patterns on manifold surfaces. We show several application examples in visualization, anisotropic tiling of mosaics, and geometry synthesis on surfaces. In contrast to previous work, we can create patterns that adapt to the underlying surface rather than distorting the geometry with a texture parameterization. Additionally, we are the first to model patterns with a global structure thanks to the ability to derive field-guided shape grammars on surfaces.
Shape grammars, tensor fields, vector fields, surfaces, geometry synthesis.

E. Zhang, P. Wonka, Y. Kobayashi, F. Bao and Y. Li, "Geometry Synthesis on Surfaces Using Field-Guided Shape Grammars," in IEEE Transactions on Visualization & Computer Graphics, vol. 17, no. , pp. 231-243, 2010.
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