Abstract-- In this paper, a necessary and sufficient condition for sampling in the general framework of shift invariant spaces is derived. Then this result is applied respectively ...
Let V (φ) be a shift invariant subspace of L2 (R) generated by a Riesz or frame generator φ(t) in L2 (R). We assume that φ(t) is suitably chosen so that V (φ) becomes a reprod...
Let V () be a shift invariant subspace of L2 (R) generated by a Riesz or frame generator (t) in L2 (R). We assume that (t) is suitably chosen so that the regular sampling expansio...
In this paper, we restore a blurred image caused by defocus of a lens using the shift-invariant Wavelet transform realized by the RI-Spline Wavelets. In a defocus blurred image, t...