Scattered Data Interpolation from Principal Shift-invariant Spaces Typeset by a M S-t E X 1 2 Scattered Data Interpolation
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چکیده
Under certain assumptions on the compactly supported function 2 C(R d), we propose two methods of selecting a function s from the scaled principal shift-invariant space S h () 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 errror estimates similar to those obtained by Duchon for surface spline interpolation.
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تاریخ انتشار 2007