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Conformal Surface Parameterization for Texture Mapping
April-June 2000 (vol. 6 no. 2)
pp. 181-189

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.

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Index Terms:
Texture mapping, surface parametrization, conformal geometry, finite elements, partial differential equations.
Steven Haker, Sigurd Angenent, Allen Tannenbaum, Ron Kikinis, Guillermo Sapiro, Michael Halle, "Conformal Surface Parameterization for Texture Mapping," IEEE Transactions on Visualization and Computer Graphics, vol. 6, no. 2, pp. 181-189, April-June 2000, doi:10.1109/2945.856998
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