Journal
SIAM JOURNAL ON IMAGING SCIENCES
Volume 4, Issue 3, Pages 931-953Publisher
SIAM PUBLICATIONS
DOI: 10.1137/100808794
Keywords
compressed sensing; Reed-Muller codes; frequency-modulated chirps; image reconstruction; medical imaging
Categories
Funding
- NSF-DMS [0652833]
- NSF-DUE [0633033]
- ONR-BRC [N00014-08-1-1110]
- Direct For Education and Human Resources
- Division Of Undergraduate Education [0633033] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0652833] Funding Source: National Science Foundation
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A recent approach to compressed sensing using deterministic sensing matrices formed from discrete frequency-modulated chirps or from Reed-Muller codes is extended to support efficient deterministic reconstruction of signals that are much less sparse than envisioned in the original work. In particular, this allows the application of this approach in imaging. The reconstruction algorithm developed for images incorporates several new elements to improve computational complexity and reconstruction fidelity in this application regime.
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