Reconstruction in Time-warped Weighted Shift-invariant Spaces with Application to Spline Subspaces
نویسندگان
چکیده
We discuss the reproducing kernel structure in shift-invariant spaces and the weighted shift-invariant spaces, and obtain the reconstruction formula in time-warped weighted shift-invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time-warped spline subspace. 1. Introduction. The problem of reconstruction of a function f has been applied widely to signal or image processing, so it is of vital importance to study the subject in the field of signal or image processing. The problem of reconstruction means that we reconstruct the function f on R d from its countable
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