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Issue No.02 - February (2011 vol.17)

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

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2010.36

ABSTRACT

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.

INDEX TERMS

Shape grammars, tensor fields, vector fields, surfaces, geometry synthesis.

CITATION

Yuanyuan Li, Fan Bao, Eugene Zhang, Yoshihiro Kobayashi, Peter Wonka, "Geometry Synthesis on Surfaces Using Field-Guided Shape Grammars",

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