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IMAMS
2007

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines

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Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . 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(h3 ) order of convergence as the data becomes dense.
Oleg Davydov, Larry L. Schumaker
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Where IMAMS
Authors Oleg Davydov, Larry L. Schumaker
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