Fields on symmetric surfaces

Daniele Panozzo, Yaron Lipman, Enrico Puppo, Denis Zorin

Research output: Contribution to journalArticlepeer-review


Direction fields, line fields and cross fields are used in a variety of computer graphics applications ranging from non-photorealistic rendering to remeshing. In many cases, it is desirable that fields adhere to symmetry, which is predominant in natural as well as manmade shapes. We present an algorithm for designing smooth Nsymmetry fields on surfaces respecting generalized symmetries of the shape, while maintaining alignment with local features. Our formulation for constructing symmetry fields is based on global symmetries, which are given as input to the algorithm, with no isometry assumptions. We explore in detail the properties of generalized symmetries (reflections in particular), and we also develop an algorithm for the robust computation of such symmetry maps, based on a small number of correspondences, for surfaces of genus zero.

Original languageEnglish (US)
Article number111
JournalACM Transactions on Graphics
Issue number4
StatePublished - Jul 2012


  • N-rosy field
  • Quad mesh
  • Symmetry

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design


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