Scattered data fitting on surfaces using projected Powell-Sabin splines

Davydov, Oleg and Schumaker, L.L.; Martin, R. and Sabin, M. and Winkler, J., eds. (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 (http://personal.strath.ac.uk/oleg.davydov/man1.pdf)

[thumbnail of man1.pdf]
Preview
 PDF. Filename: man1.pdf
Preprint
Download (589kB)| 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

CORE (COnnecting REpositories)