We extend the redundant spacings calibration method for finding piston coefficients affecting the elements of a dilute aperture array so that tilt phase coefficients can also be calculated and corrected without the need for assumptions about the object. The tilt coefficient retrieval method is successfully demonstrated in simulation, and the specifics of correction by image sharpness are discussed, showing that in dilute aperture systems this method does not necessarily produce a unique image.
Johnson, A. M., Eastwood, R. J., & Greenaway, A. H. (2012). Calculation and correction of subaperture tilt aberration modes in synthesis imaging. Journal of the Optical Society of America A, 29(5), 757-66. https://doi.org/10.1364/JOSAA.29.000757