Fields on symmetric surfaces

  • Authors:
  • Daniele Panozzo;Yaron Lipman;Enrico Puppo;Denis Zorin

  • Affiliations:
  • University of Genova and ETH Zurich and New York University;Weizmann Institute of Science;University of Genova;New York University

  • Venue:
  • ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
  • Year:
  • 2012

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Abstract

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 man-made shapes. We present an algorithm for designing smooth N-symmetry 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.