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Conformal surface parameterization for texture mapping

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6 Author(s)
Haker, S. ; Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA ; Angenent, S. ; Tannenbaum, A. ; Kikinis, R.
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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

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Visualization and Computer Graphics, IEEE Transactions on  (Volume:6 ,  Issue: 2 )