The convergence of three L-1 spline methods for scattered data interpolation and fitting

摘要

The convergences of three L-1 spline methods for scattered data interpolation and fitting using bivariate spline spaces are studied in this paper. That is, L-1 interpolatory splines, splines of least absolute deviation, and L-1 smoothing splines are shown to converge to the given data function under some conditions and hence, the surfaces from these three methods will resemble the given data values. (C) 2006 Elsevier Inc. All rights reserved.