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Identifying the point-spread function of an observation channel from a calibrating image by the method of least squares

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Abstract

This paper discusses how to determine the point-spread function of an observation channel by calculating the expansion coefficients of the phase perturbations of the pupil function in Zernike polynomials, on the assumption that the forming optical system is isoplanar. The estimate is constructed on the basis of an iteration algorithm, where the sum of the squares of the differences between the original image of an object, distorted by aberrations of the observation channel, and a synthesized calibrating image of this object, obtained on the basis of probing phase perturbations of the pupil function, is used as the functional to be minimized. An example of the reconstruction of a defocused digital photographic image is considered.

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