Estimation of image distributions from limited intensity data

Computer Science – Numerical Analysis

Scientific paper

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Fourier Transformation, Image Reconstruction, Inverse Scattering, Speckle Interferometry, Numerical Analysis, Spectrum Analysis

Scientific paper

This paper describes an iterative method designed specifically for the reconstruction of estimates of continuous images from severely limited Fourier phase information, with special consideration given to its rate of convergence. To provide an estimate for the global minimum of the energy E as a function of the data phase theta, E(theta), simulated annealing is used, where the value of E is determined as a function of small changes in choice of phase at each data point in turn. An iterative procedure for minimization was designed, which yields an approximation of E(theta) minimum in the presence of poor or missing Fourier phase information.

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