eprintid: 1477561 rev_number: 24 eprint_status: archive userid: 608 dir: disk0/01/47/75/61 datestamp: 2017-05-25 14:50:26 lastmod: 2020-02-17 04:58:58 status_changed: 2017-05-25 14:50:26 type: proceedings_section metadata_visibility: show creators_name: Guo, C creators_name: Nelson, JDB title: Compressive imaging with complex wavelet transform and turbo AMP reconstruction ispublished: pub divisions: UCL divisions: A01 divisions: B04 divisions: C06 keywords: Science & technology, technology, engineering, electrical & electronic, engineering, compressed sensing, dual-tree complex wavelet transform, hmt, turbo decoding, approximate message passing, model. note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. 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. date: 2015-09-04 publisher: IEEE official_url: http://dx.doi.org/10.1109/EUSIPCO.2015.7362684 oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 1122359 doi: 10.1109/EUSIPCO.2015.7362684 isbn_13: 9780992862633 lyricists_name: Nelson, James Daniel Bryan lyricists_id: JDBNE39 actors_name: Nelson, James Daniel Bryan actors_id: JDBNE39 actors_role: owner full_text_status: public series: European Signal Processing Conference publication: 2015 23RD EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO) volume: 23 place_of_pub: Nice, France pagerange: 1751-1755 pages: 5 event_title: 23rd European Signal Processing Conference (EUSIPCO) event_location: Nice, FRANCE event_dates: 31 August 2015 - 04 September 2015 institution: EUSIPCO issn: 2076-1465 book_title: Proceedings of 2015 23rd European Signal Processing Conference (EUSIPCO) editors_name: Dugelay, JL editors_name: Slock, D citation: 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. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1477561/1/eusipco2015_v3.pdf