
Scattered Data ApproximationWEBsplines settle a notorious problem in scattered data approximation: If the data sites are given on a nonrectangular domain, then the standard Bspline approximation typically reveals shape artifacts at grid cells with few data points. This undesired behavior is avoided when websplines are used as approximation space. As an example, we consider scattered data sampled from a smooth function. The grid lines are nonuniform and adapted to the structure of the domain.
The standard Bspline approximation yields a large deviation near the boundary due to the instability of the basis. By contrast, the webspline approximation is perfectly smooth and its maximal deviation from the given function is significantly smaller.
LiteratureK. Höllig, U. Reif: Nonuniform WebSplines. Computer Aided Geometric Design, Volume 20, Issue 5, pp. 277294, 2003.See Publications for a complete list of WEBpublications.
Author: Ulricht Reif ; Last modification: 2003/10/29 08:36:58 UTC.
