Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity

Gauri Jagatap; Zhengyu Chen; Chinmay Hegde; Namrata Vaswani

doi:10.1109/ICASSP.2018.8461302

Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity

Gauri Jagatap, Zhengyu Chen, Chinmay Hegde, Namrata Vaswani

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We consider the problem of super-resolution for sub-diffraction imaging. We adapt conventional Fourier ptychographic approaches, for the case where the images to be acquired have an underlying structured sparsity. We propose some sub-sampling strategies which can be easily adapted to existing ptychographic setups. We then use a novel technique called CoPRAM with some modifications, to recover sparse (and block sparse) images from sub-sampled pty-chographic measurements. We demonstrate experimentally that this algorithm performs better than existing phase retrieval techniques, in terms of quality of reconstruction, using fewer number of samples.

Original language	English (US)
Title of host publication	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6493-6497
Number of pages	5
ISBN (Print)	9781538646588
DOIs	https://doi.org/10.1109/ICASSP.2018.8461302
State	Published - Sep 10 2018
Event	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Calgary, Canada Duration: Apr 15 2018 → Apr 20 2018

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2018-April
ISSN (Print)	1520-6149

Other

Other	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018
Country/Territory	Canada
City	Calgary
Period	4/15/18 → 4/20/18

Keywords

Nonconvex algorithms
Phase retrieval
Ptychography
Sparsity

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP.2018.8461302

Cite this

Jagatap, G., Chen, Z., Hegde, C., & Vaswani, N. (2018). Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity. In 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings (pp. 6493-6497). Article 8461302 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2018-April). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2018.8461302

Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity. / Jagatap, Gauri; Chen, Zhengyu; Hegde, Chinmay et al.
2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. p. 6493-6497 8461302 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2018-April).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Jagatap, G, Chen, Z, Hegde, C & Vaswani, N 2018, Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity. in 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings., 8461302, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2018-April, Institute of Electrical and Electronics Engineers Inc., pp. 6493-6497, 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018, Calgary, Canada, 4/15/18. https://doi.org/10.1109/ICASSP.2018.8461302

Jagatap G, Chen Z, Hegde C, Vaswani N. Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity. In 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2018. p. 6493-6497. 8461302. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2018.8461302

Jagatap, Gauri ; Chen, Zhengyu ; Hegde, Chinmay et al. / Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity. 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 6493-6497 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "We consider the problem of super-resolution for sub-diffraction imaging. We adapt conventional Fourier ptychographic approaches, for the case where the images to be acquired have an underlying structured sparsity. We propose some sub-sampling strategies which can be easily adapted to existing ptychographic setups. We then use a novel technique called CoPRAM with some modifications, to recover sparse (and block sparse) images from sub-sampled pty-chographic measurements. We demonstrate experimentally that this algorithm performs better than existing phase retrieval techniques, in terms of quality of reconstruction, using fewer number of samples.",

keywords = "Nonconvex algorithms, Phase retrieval, Ptychography, Sparsity",

author = "Gauri Jagatap and Zhengyu Chen and Chinmay Hegde and Namrata Vaswani",

note = "Funding Information: This work is supported in parts by the National Science Foundation under the grants CCF-1566281, CCF-1526870 and IIP-1632116. Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 ; Conference date: 15-04-2018 Through 20-04-2018",

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Sub-Diffraction Imaging Using Fourier Ptychography and Structured Sparsity

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Keywords

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