Spherical Parametrization of Genus-Zero Meshes using the Lagrange-Newton Method
نویسندگان
چکیده
This paper addresses the problem of spherical parametrization, i.e., mapping a given polygonal surface of genus-zero onto a unit sphere. We construct an improved algorithm for parametrization of genus-zero meshes and aim to obtain high-quality surfaces fitting with PHT-splines. This parametrization consists of minimizing discrete harmonic energy subject to spherical constraints and solving the constrained optimization by the LagrangeNewton method. We also present several examples which show that parametric surfaces of PHT-splines can be constructed adaptively and efficiently to fit given meshes associated with our parametrization results.
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