Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
نویسندگان
چکیده
We present C methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R. The methods are based on a local bivariate Powell-Sabin interpolation scheme, and make use of local projections on the tangent planes. The data fitting method is a two-stage method. We illustrate the performance of the algorithms with some numerical examples, which, in particular, confirm the O(h) order of convergence as the data becomes dense.
منابع مشابه
Interpolation and Scattered Data Fitting on Manifolds using Projected Powell-Sabin Splines
We present methods for either interpolating data or for fitting scattered data on a two-dimensional smooth manifold Ω. The methods are based on a local bivariate Powell-Sabin interpolation scheme, and make use of a family of charts {(Uξ , φξ)}ξ∈Ω satisfying certain conditions of smooth dependence on ξ. If Ω is a C2-manifold embedded into R3, then projections into tangent planes can be employed....
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