A phase retrieval algorithm for shifting illumination

By J. Rodenburg, H. Faulkner. 2004

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Experimental robustness of Fourier Ptychography phase retrieval algorithms (2015, methodology): “The method combines ideas from synthetic aperture and translational-diversity phase retrieval [2,3], conveniently realized by replacing the light source of a microscope with an LED array, then capturing multiple images under different illumination angles.”
Ptychography and Related Diffractive Imaging Methods (2008, background): “The breakthrough came with the development of the so-called PIE update function (Rodenburg and Faulkner, 2004a, 2004b).”
Computational illumination for high-speed in vitro Fourier ptychographic microscopy (2015, neutral): “Distinct from synthetic aperture, FPM does not measure phase directly at each angle, but instead uses nonlinear optimization algorithms [7, 15–17] similar to translational diversity [18, 19] and ptychography [20, 21].”
3D intensity and phase imaging from light field measurements in an LED array microscope (2015, methodology): “The caveat is that phase is required, which the Fourier ptychography algorithm [23,24] provides by performing translational diversity phase retrieval [43–46] in Fourier space.”
An improved ptychographical phase retrieval algorithm for diffractive imaging. (2009, background): “The ptychographical iterative engine (PIE) [10] introduces diffraction pattern diversity by”