Abstract

We apply the method of projections onto convex sets (POCS) to recover a signal or image from nonuniform samples and prior knowledge. Both iterative and one-step algorithms to implement POCS are furnished. We discuss our results in relation to the recent work by Sauer and Allebach [ IEEE Trans. Circuits Syst. CAS-34, 1497 ( 1987)], who considered the same problem from a different point of view.

© 1990 Optical Society of America

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