Multi-sided attribute based modeling

  • Authors:
  • Kun Gao;Alyn Rockwood

  • Affiliations:
  • D*Syn Corp, Black Forest, Colorado;D*Syn Corp, Black Forest, Colorado

  • Venue:
  • IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
  • Year:
  • 2005

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Abstract

We consider the problem of defining multi-sided patches in a system that enables G2 continuity. The technology is based on finding the weighted least squares solution of points on given input curves where a separate parameter space with control structures determines its weights. It is a generalization of Shepard's method to a parameterized vector solution. The method generates surface patches that satisfy certain minimal energy conditions. it employs any parametric curve and points as controls for defining the surface.