Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

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. In: Proceedings of the 12th IMA international conference on Mathematics of surfaces XII. Springer-Verlag, pp. 138-153. ISBN 978-3-540-73842-8

[img]
Preview
PDF - Draft Version
Download (575Kb) | Preview

    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: Book Section
    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: 06 Sep 2014 09:17
    URI: http://strathprints.strath.ac.uk/id/eprint/31191

    Actions (login required)

    View Item

    Fulltext Downloads: