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Surface Parameterization for Meshing by Triangulation FlatteninJune 2000
2000 Technical Report
Publisher:
  • University of Illinois at Urbana-Champaign
  • Champaign, IL
  • United States
Published:01 June 2000
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Abstract

We propose a new method to compute planar triangulations of triangulated surfaces for surface parameterization. Our method computes a projection that minimizes the distortion of the surface metric structures (lengths, angles, etc.). It can handle any manifold surface, including surfaces with large curvature gradients and non-convex domain boundaries. We use only the necessary and sufficient constraints for a valid two-dimensional triangulation. As a result, the existence of a theoretical solution to the minimization procedure is guaranteed.

Contributors
  • The University of British Columbia
  • University of Illinois Urbana-Champaign

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