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Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

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Understanding the twin-image problem in phase retrieval.

Manuel Guizar-Sicairos¹, James R Fienup

¹The Institute of Optics, University of Rochester, Rochester, New York 14627, USA. manuel.guizar‑sicairos@psi.ch

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|December 4, 2012

Summary

The twin-image problem in phase retrieval, where object and its inversion appear simultaneously, hinders image quality. A reduced-support constraint approach effectively resolves this issue in reconstructions.

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Area of Science:

Optics and Photonics
Image Reconstruction
Computational Imaging

Background:

Phase retrieval algorithms can suffer from the twin-image problem, where the reconstructed image contains both the original object and its inversion.
This issue is particularly prevalent in reconstructions with centrosymmetric or loose object supports, degrading image quality.

Purpose of the Study:

To investigate the origins and characteristics of the twin-image problem in phase retrieval.
To evaluate methods for mitigating the detrimental effects of the twin-image problem on image reconstruction.

Main Methods:

Analysis of phase retrieval reconstructions exhibiting varying degrees of the twin-image problem.
Examination of the Fourier-domain phase distribution to identify regions responsible for object and twin-image reconstruction.
Application of the reduced-support constraint approach to address phase retrieval stagnation.

Main Results:

The twin-image problem arises from the partitioning of the retrieved Fourier-domain phase into distinct regions.
Even when not visually apparent, the twin-image artifact can be present in localized areas of the Fourier phase.
The reduced-support constraint method proved effective in overcoming stagnation caused by the twin-image problem.

Conclusions:

Understanding the phase distribution is key to identifying the twin-image problem.
The reduced-support constraint is a viable strategy for improving phase retrieval reconstructions affected by twin images.
This work offers insights into managing artifacts in phase retrieval for enhanced image quality.