Blind correction of camera lens aberration and de-centering error using modified Zernike model

Reduction of the quality of the image formed by an optical system is a function of different parameters such as lens aberrations, CCD digitization errors, and the errors of system assembling. Assembling errors usually consist of two types: 1) the prism error, which is the error of non-orthogonality of the optical axis and the image plane 2) the de-centering error, which is error of not passing the lens optical axis through the center of the image plane. This paper attempts to correct the blind of the lens aberration and the de-centering error. To this end, Seidel aberrations are rewritten in the form of the modified Zernike moments based on the second kind Chebyshev polynomials as discrete functions on the Cartesian space. Then, the modified moments reformulated to model de-centered phase aberration function by considering the de-centering error. Finally, the model parameters are divided into two classes of symmetric and asymmetric ones. Then, these parameters are estimated through poly-spectral analysis, i.e., bi-coherence and tri-coherence analysis, respectively. Experimental results confirm the accuracy and efficiency of the proposed solution.