Abstract

Knowledge of an object’s support often proves a valuable constraint when one attempts to reconstruct that object from its autocorrelation. Certain discrete object supports, such as Eisenstein’s support, have the property that they are irreducible; as a consequence, the object and its Hermitian conjugate are uniquely determined to within a translation and unimodular constant. If the object support is known, it can be used as a bounding constraint in reconstruction algorithms or sometimes ensure solution uniqueness even when the object support is reducible. However, it is generally the autocorrelation support which is known rather than the object support.

© 1987 Optical Society of America