Name
Title | ||
|---|---|---|
An iterative algorithm for phase retrieval with sparsity constraints: application to frequency domain optical coherence tomography |
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. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/ICASSP.2012.6287939 | Acoustics, Speech and Signal Processing |
Keywords | Field | DocType |
Fourier analysis,biomedical optical imaging,frequency-domain analysis,image reconstruction,image retrieval,iterative methods,medical image processing,optical tomography,Cauchy convergence properties,Fienup algorithm,Fourier spectrum,frequency domain optical coherence tomography,iterative algorithm,magnitude measurements,optical imaging,optics,orthonormal basis,phase retrieval,reconstruction performance,sparse representation,sparsity constraints,Fienup iterations,Optical Coherence Tomography,Phase retrieval,Sparsity | Frequency domain,Iterative reconstruction,Mathematical optimization,Phase retrieval,Pattern recognition,Iterative method,Computer science,Sparse approximation,Orthonormal basis,Artificial intelligence,Optical tomography,Autocorrelation | Conference |
ISSN | ISBN | Citations |
1520-6149 E-ISBN : 978-1-4673-0044-5 | 978-1-4673-0044-5 | 19 |
PageRank | References | Authors |
1.74 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Subhadip Mukherjee | 1 | 36 | 7.57 |
| Chandra Sekhar Seelamantula | 2 | 142 | 37.43 |