Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain

Paul R Hill; Jin-Hwan Kim; Adrian Basarab; Denis Kouamé; David Bull; Alin M Achim

doi:10.1109/ICIP.2016.7532812

Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain

Paul R Hill, Jin-Hwan Kim, Adrian Basarab, Denis Kouamé, David Bull, Alin M Achim

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

17 Citations (Scopus)

365 Downloads (Pure)

Abstract

Approximate Message Passing (AMP) is an iterative reconstruction algorithm that performs signal denoising within a compressive sensing framework. We propose the use of heavy tailed distribution based image denoising, specifically using a Cauchy prior based Maximum A-Posteriori (MAP) estimate within a wavelet based AMP compressive sensing structure. The use of this MAP denoising algorithm provides extremely fast convergence for image based compressive sensing. The proposed method converges approximately twice as fast as the compared AMP methods whilst providing superior final MSE results over a range of measurement rates.

Original language	English
Title of host publication	2016 IEEE International Conference on Image Processing (ICIP 2016)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	2514-2518
Number of pages	5
ISBN (Electronic)	9781467399616
ISBN (Print)	9781467399623
DOIs	https://doi.org/10.1109/ICIP.2016.7532812
Publication status	Published - Mar 2017

Publication series

Name	IEEE International Conference on Image Processing (ICIP)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISSN (Print)	2381-8549

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Vision for the Future-Full
Bull, D. R. (Principal Investigator)
1/02/15 → 31/01/20
Project: Research

Cite this

Hill, P. R., Kim, J.-H., Basarab, A., Kouamé, D., Bull, D., & Achim, A. M. (2017). Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain. In 2016 IEEE International Conference on Image Processing (ICIP 2016) (pp. 2514-2518). (IEEE International Conference on Image Processing (ICIP)). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICIP.2016.7532812

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title = "Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain",

abstract = "Approximate Message Passing (AMP) is an iterative reconstruction algorithm that performs signal denoising within a compressive sensing framework. We propose the use of heavy tailed distribution based image denoising, specifically using a Cauchy prior based Maximum A-Posteriori (MAP) estimate within a wavelet based AMP compressive sensing structure. The use of this MAP denoising algorithm provides extremely fast convergence for image based compressive sensing. The proposed method converges approximately twice as fast as the compared AMP methods whilst providing superior final MSE results over a range of measurement rates.",

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Hill, PR, Kim, J-H, Basarab, A, Kouamé, D, Bull, D & Achim, AM 2017, Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain. in 2016 IEEE International Conference on Image Processing (ICIP 2016). IEEE International Conference on Image Processing (ICIP), Institute of Electrical and Electronics Engineers (IEEE), pp. 2514-2518. https://doi.org/10.1109/ICIP.2016.7532812

Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain. / Hill, Paul R; Kim, Jin-Hwan; Basarab, Adrian et al.
2016 IEEE International Conference on Image Processing (ICIP 2016). Institute of Electrical and Electronics Engineers (IEEE), 2017. p. 2514-2518 (IEEE International Conference on Image Processing (ICIP)).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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AB - Approximate Message Passing (AMP) is an iterative reconstruction algorithm that performs signal denoising within a compressive sensing framework. We propose the use of heavy tailed distribution based image denoising, specifically using a Cauchy prior based Maximum A-Posteriori (MAP) estimate within a wavelet based AMP compressive sensing structure. The use of this MAP denoising algorithm provides extremely fast convergence for image based compressive sensing. The proposed method converges approximately twice as fast as the compared AMP methods whilst providing superior final MSE results over a range of measurement rates.

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Hill PR, Kim JH, Basarab A, Kouamé D, Bull D , Achim AM. Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain. In 2016 IEEE International Conference on Image Processing (ICIP 2016). Institute of Electrical and Electronics Engineers (IEEE). 2017. p. 2514-2518. (IEEE International Conference on Image Processing (ICIP)). Epub 2016 Aug 19. doi: 10.1109/ICIP.2016.7532812

Compressive imaging using approximate message passing and a Cauchy prior in the wavelet domain

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