Image reconstruction using the phase variance algorithm

Physics – Optics

Scientific paper

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Image Processing, Image Reconstruction, Phase Error, Aberration, Fourier Transformation, Iterative Solution, Optical Correction Procedure

Scientific paper

In many imaging situations the quality of the image is degraded by phase errors. An algorithm is described for correcting phase errors. It is applicable to cases in which the phase-error-degraded complex Fourier transform of the aberrated image is available; these include imaging with heterodyne sensors or with interferometric sensors. The phase-error correction algorithm is a variation on the iterative Fourier-transform (phase-retrieval) algorithm. It uses a support constraint on the object, making it useful for imaging bright objects on dark backgrounds. It can be extended to include uncertainties in both the modulus and the phase of the Fourier transform.

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