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Details van artikel 5 van 11 gevonden artikelen
| Titel: |
Phase Transitions and Cosparse Tomographic Recovery of Compound Solid Bodies from Few Projections |
| Auteur: |
Deniţiu, Andreea Petra, Stefania Schnörr, Claudius Schnörr, Christoph |
| Verschenen in: |
Fundamenta informaticae |
| Paginering: | Jaargang 135 (2014) nr. 1-2 pagina's 73-102 |
| Jaar: |
2014-11-24 |
| Inhoud: |
We study unique recovery of cosparse signals from limited-view tomographic measurements of two- and three-dimensional domains. Admissible signals belong to the union of subspaces defined by all cosupports of maximal cardinality ℓ with respect to the discrete gradient operator. We relate ℓ both to the number of measurements and to a nullspace condition with respect to the measurement matrix, so as to achieve unique recovery by linear programming. These results are supported by comprehensive numerical experiments that show a high correlation of performance in practice and theoretical predictions. Despite poor properties of the measurement matrix from the viewpoint of compressed sensing, the class of uniquely recoverable signals basically seems large enough to cover practical applications, like contactless quality inspection of compound solid bodies composed of few materials. |
| Uitgever: |
IOS Press |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 11 gevonden artikelen
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