Guo, C;
Nelson, JDB;
(2015)
Compressive imaging with complex wavelet transform and turbo AMP reconstruction.
In: Dugelay, JL and Slock, D, (eds.)
Proceedings of 2015 23rd European Signal Processing Conference (EUSIPCO).
(pp. pp. 1751-1755).
IEEE: Nice, France.
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Abstract
We extend the “turbo” belief propagation framework for compressive imaging to the dual-tree complex wavelet transform (DT-CWT) to exploit both sparsity and dependency across scales. Due to the near shift-invariance property and the improved angular resolution of DT-CWT, better reconstruction can be expected when incorporating with the compressed sensing (CS) algorithms. Two types priors to form the hidden Markov tree structure for the DT-CWT coefficients are considered. One models the real and imaginary components of DT-CWT separately while the other assumes the shared hidden states between the two. Simulation with natural images confirm an improved performance when iterating between the CS reconstruction and the DT-CWT HMT.
| Type: | Proceedings paper |
|---|---|
| Title: | Compressive imaging with complex wavelet transform and turbo AMP reconstruction |
| Event: | 23rd European Signal Processing Conference (EUSIPCO) |
| Location: | Nice, FRANCE |
| Dates: | 31 August 2015 - 04 September 2015 |
| ISBN-13: | 9780992862633 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/EUSIPCO.2015.7362684 |
| Publisher version: | http://dx.doi.org/10.1109/EUSIPCO.2015.7362684 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & technology, technology, engineering, electrical & electronic, engineering, compressed sensing, dual-tree complex wavelet transform, hmt, turbo decoding, approximate message passing, model. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1477561 |
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