AN ITERATIVE ALGORITHM FOR PHASE RETRIEVAL WITH SPARSITY CONSTRAINTS: APPLICATION TO FREQUENCY DOMAIN OPTICAL COHERENCE TOMOGRAPHY

Mukherjee, Subhadip and Seelamantula, Chandra Sekhar (2012) AN ITERATIVE ALGORITHM FOR PHASE RETRIEVAL WITH SPARSITY CONSTRAINTS: APPLICATION TO FREQUENCY DOMAIN OPTICAL COHERENCE TOMOGRAPHY. In: IEEE International Conference on Acoustics, Speech and Signal Processing , MAR 25-30, 2012 , Kyoto, JAPAN, pp. 553-556.

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Abstract

We address the problem of phase retrieval, which is frequently encountered in optical imaging. The measured quantity is the magnitude of the Fourier spectrum of a function (in optics, the function is also referred to as an object). The goal is to recover the object based on the magnitude measurements. In doing so, the standard assumptions are that the object is compactly supported and positive. In this paper, we consider objects that admit a sparse representation in some orthonormal basis. We develop a variant of the Fienup algorithm to incorporate the condition of sparsity and to successively estimate and refine the phase starting from the magnitude measurements. We show that the proposed iterative algorithm possesses Cauchy convergence properties. As far as the modality is concerned, we work with measurements obtained using a frequency-domain optical-coherence tomography experimental setup. The experimental results on real measured data show that the proposed technique exhibits good reconstruction performance even with fewer coefficients taken into account for reconstruction. It also suppresses the autocorrelation artifacts to a significant extent since it estimates the phase accurately.

Item Type:	Conference Paper
Publisher:	IEEE
Additional Information:	Copyright for this article belongs to IEEE, NEW YORK
Keywords:	Sparsity;Phase retrieval;Optical Coherence Tomography;Fienup iterations
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	12 Feb 2013 11:00
Last Modified:	12 Feb 2013 11:00
URI:	http://eprints.iisc.ac.in/id/eprint/45805

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