Scattered date interpolation from principal shift-invariant spaces

[摘要] Under certain assumptions on the compactly supported function phi epsilon C(R-d), we propose two methods of selecting a function s from the scaled principal shift-invariant space S-h(phi) such that s interpolates a given function f at a scattered set of data locations. For both methods, the selection scheme amounts to solving a quadratic programming problem and we are able to prove error estimates similar to those obtained by Duchon for surface spline interpolation. (C) 2001 Academic Press.

[发布日期] 2001-12-01