Paper Info
Title
Scattered date interpolation from principal shift-invariant spaces
Abstract
Under certain assumptions on the compactly supported function φ ∈ C(Rd), we propose two methods of selecting a function s from the scaled principal shift-invariant space Sh(φ) 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.
Year
DOI
Venue
2001
10.1006/jath.2001.3611
Journal of Approximation Theory
Keywords
Field
DocType
scattered date interpolation,selection scheme amount,scattered set,certain assumption,quadratic programming problem,data location,principal shift-invariant space,surface spline interpolation,quadratic program,support function
Mathematical optimization,Spline interpolation,Mathematical analysis,Interpolation,Invariant (mathematics),Quadratic programming,Mathematics
Journal
Volume
Issue
ISSN
113
2
0021-9045
Citations 
PageRank 
References 
3
0.45
0
Authors
1
Name
Order
Citations
PageRank
Michael J. Johnson1407.82