Correction of mis-focus in recorded images using centered discrete fractional fourier transformations with high-accuracy orthonormal eigenvectors
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United States of America Patent
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Sep 24, 2013
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Nov 15, 2010
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Nov 15, 2009
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Abstract
A method for correcting mis-focus of an image created from coherent imaging using centered fractional Fourier transforms or mathematical equivalents is described. A received image is presented to a numerical processor, and a first numerical value for a variable α is selected and used in an iterative algorithm, numerical procedure, system architecture, etc. A centered discrete fractional Fourier transform of power α and a phase restore operator associated with a centered discrete fractional Fourier transform of power α are applied to the image file to produce a modified image. A change in mis-focused is determined and used in adjusting α for a next iteration. If values for α between 0 and real number β do not result in a desired outcome, α is adjusted as a complex value β+iχ where χ is a real number.
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