Conformal Surface Parameterization for Texture Mapping

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Date
2000-04Author
Haker, Steven
Angenent, Sigurd
Tannenbaum, Allen R.
Kikinis, Ron
Sapiro, Guillermo
Halle, Michael
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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.