Abstract : In the past decade there has been a great interest in a synthesis-based model for signals, based on sparse and redundant representations. This work considers an alternative analysis-based model, where an analysis operator multiplies the signal, leading to a cosparse outcome. We consider this analysis model, in the context of a generic missing data problem. Our work proposes a uniqueness result for the solution of this problem, based on properties of the analysis operator and the measurement matrix. A new greedy algorithm for solving the missing data problem is proposed along with theoretical study of the success of the algorithm and experimental results.
https://hal.inria.fr/inria-00587943 Contributor : Sangnam NamConnect in order to contact the contributor Submitted on : Friday, September 16, 2011 - 11:17:00 AM Last modification on : Thursday, January 20, 2022 - 5:28:48 PM Long-term archiving on: : Saturday, December 3, 2016 - 6:20:05 PM
Sangnam Nam, Mike E. Davies, Michael Elad, Rémi Gribonval. Cosparse Analysis Modeling. Workshop on Signal Processing with Adaptive Sparse Structured Representations, Jun 2011, Edinburgh, United Kingdom. ⟨inria-00587943⟩