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<p><b>Abstract</b>—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.</p>
Texture mapping, surface parametrization, conformal geometry, finite elements, partial differential equations.

M. Halle, G. Sapiro, S. Angenent, R. Kikinis, A. Tannenbaum and S. Haker, "Conformal Surface Parameterization for Texture Mapping," in IEEE Transactions on Visualization & Computer Graphics, vol. 6, no. , pp. 181-189, 2000.
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