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Scattered data fitting on surfaces using projected Powell-Sabin splines

Davydov, Oleg and Schumaker, L.L. (2007) Scattered data fitting on surfaces using projected Powell-Sabin splines. [Proceedings Paper]

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    Abstract

    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

    Item type: Proceedings Paper
    ID code: 31191
    Keywords: powell-sabine splines, scattered data fitting, statistics, Probabilities. Mathematical statistics
    Subjects: Science > Mathematics > Probabilities. Mathematical statistics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 15 Jun 2011 15:18
    Last modified: 19 Mar 2014 11:04
    URI: http://strathprints.strath.ac.uk/id/eprint/31191

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