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....for geometric metamorphosis in [14] Gu and Yau in [7] introduce a non linear optimization method to compute global conformal parameterizations for genus zero surfaces. The optimization is carried out in the tangential spaces of the sphere. 2. Cauchy Riemann equation approximation. Levy et al. [15] compute a quasi conformal parameterization of topological disks by approximating the Cauchy Riemann equation using the least squares method. They show rigorously that the quasi conformal parameterization exists uniquely, and is invariant to similarity transformations, independent of resolution, ....
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