Abstract

Conditions necessary for the convergence of the van Cittert iterative method of deconvolution are studied. Conditions that can be expressed in the function domain are derived, some of which are readily apparent restrictions on the shape of the impulse response. The position of the response function along the abscissa is considered, since the shifting of the function can influence convergence. Only real, piecewise-analytic responses with pointwise Fourier transforms and pointwise Fourier inversion are considered.

© 1976 Optical Society of America

Algebraic analysis of the Van Cittert iterative method of deconvolution with a general relaxation factor

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