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Acoustic Wave Field Reconstruction From Compressed Measurements With Application in Photoacoustic Tomography

Betcke, MM; Cox, BT; Huynh, N; Zhang, EZ; Beard, PC; Arridge, SR; (2017) Acoustic Wave Field Reconstruction From Compressed Measurements With Application in Photoacoustic Tomography. IEEE Transactions on Computational Imaging , 3 (4) pp. 710-721. 10.1109/TCI.2017.2706029. Green open access

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Abstract

We present a method for the recovery of compressively sensed acoustic fields using patterned, instead of point-by-point, detection. From a limited number of such compressed measurements, we propose to reconstruct the field on the sensor plane in each time step independently assuming its sparsity in a Curvelet frame. A modification of the Curvelet frame is proposed to account for the smoothing effects of data acquisition and motivated by a frequency domain model for photoacoustic tomography. An ADMM type algorithm, split augmented Lagrangian shrinkage algorithm, is used to recover the pointwise data in each individual time step from the patterned measurements. For photoacoustic applications, the photoacoustic image of the initial pressure is reconstructed using time reversal in k-Wave Toolbox.

Type: Article
Title: Acoustic Wave Field Reconstruction From Compressed Measurements With Application in Photoacoustic Tomography
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TCI.2017.2706029
Publisher version: http://dx.doi.org/10.1109/TCI.2017.2706029
Language: English
Additional information: © Copyright 2017 IEEE. This work is licensed under a Creative Commons Attribution 3.0 License (https://creativecommons.org/licenses/by/3.0/).
Keywords: ADMM methods, compressed sensing, curvelet frame, L1 minimization, photoacoustic tomography
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: http://discovery.ucl.ac.uk/id/eprint/1523681
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