Results in estimation theory are applied to the problem of removing aberrations caused by imaging systems. Recursive models for the object image brightness function and the image sensor performance are developed.
For the processing of NxN pixel images, known techniques require the formulation of an N2 order image degradation model to fully incorporate the point spread function of the aberration. It is shown that a recursive formulation of the aberration results in an image degradation model of order N as opposed te N2.
An algorithm for estimating the object image brightness given the sensor output is presented. Also, accounting for effects suchas sensor demonstrated. Interpolation is readily achieved with little additional computational effort.
Examples (which demonstrate the effectiveness of the proposed techniques) are included.
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