Conformal Surface Parameterization for Texture Mapping

  • Authors:
  • Steven Haker;Sigurd Angenent;Allen Tannenbaum;Ron Kikinis;Guillermo Sapiro;Michael Halle

  • Affiliations:
  • -;-;-;-;-;-

  • Venue:
  • IEEE Transactions on Visualization and Computer Graphics
  • Year:
  • 2000

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Abstract

In this paper, we give an explicit method for mapping any simply connected surface onto the sphere in a manner which preserves angles. This technique relies on certain conformal mappings from differential geometry. Our method provides a new way to automatically assign texture coordinates to complex undulating surfaces. We demonstrate a finite element method that can be used to apply our mapping technique to a triangulated geometric description of a surface.