Geometry synthesis on surfaces using field-guided shape grammars

Yuanyuan Li*, Fan Bao, Eugene Zhang, Yoshihiro Kobayashi, Peter Wonka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


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.

Original languageEnglish (US)
Article number5416705
Pages (from-to)231-243
Number of pages13
JournalIEEE Transactions on Visualization and Computer Graphics
Issue number2
StatePublished - 2011


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

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design


Dive into the research topics of 'Geometry synthesis on surfaces using field-guided shape grammars'. Together they form a unique fingerprint.

Cite this