Interpolation and scattered data fitting on manifolds using projected Powell-Sabin splines
نویسندگان
چکیده
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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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 algorit...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2008
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drm033