A FUNCTION-SPACE MODEL FOR DIGITAL IMAGE SAMPLING AND ITS APPLICATION IN IMAGE-RECONSTRUCTION

A general mathematical model for digital signal processing, which is based on Lp function spaces, is presented. It is used to derive a new class of filters for the reconstruction of N-dimensional images which are not necessarily band-limited. The best reconstruction algorithm will depend on the pre-sample filter function. The filters described here are optimal in the sense that they result in a reconstructed image which is as close as possible to the unsampled image. -after Authors