Method for obtaining a phase image from an intensity image

Image analysis – Image transformation or preprocessing

Reexamination Certificate

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C382S280000

Reexamination Certificate

active

07889945

ABSTRACT:
A method of reconstructing a phase of a radiation wave field including determining a representative measure of an intensity variation of the radiation wave field on a selected surface extending globally from one end to another of the radiation wave field, determining a representative measure of the intensity of the radiation wave field on the selected surface, transforming the representative measure of the intensity variation to produce a first representation of integral transform and to apply to the first representation of integral transform a first filter and producing a first representation of modified integral transform, applying a first function of the first representation of integral transform to the first representation of modified integral transform and producing an untransformed representation, applying a correction based on the measure of intensity on the selected surface to the untransformed representation, transforming the untransformed corrected representation to produce a second representation of integral transform and applying a second filter to the second representation of integral transform, and applying a second function of the second integral transform to the second modified representation of integral transform to produce a measure of phase of the radiation wave field on the selected surface extending globally from one end to another of the radiation wave field, wherein the first and second filters are measures of a representation of a Green's function in a space of eigenfunctions of the Helmholtz equation with separable coordinates such that the first and second integral transforms are one-dimensional integral transforms in the space of the radiation wave field.

REFERENCES:
patent: 7298908 (2007-11-01), Lewis et al.
patent: 2004/0037462 (2004-02-01), Lewis et al.
patent: WO 00/26622 (2000-05-01), None
Lyuboshenko et al., “Phase unwrapping for interferometric synthetic aperture radar by use of Helmholtz equation eigenfunctiions and the first Green's identity”,Journal of the Optical Society of America A(Optics, Image Science and Vision), Opt. Soc. America USA vol. 16. No. 2 Feb. 1999, pp. 378-395, XP002347238 ISSN: 0740-3232.

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