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research article
Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems
Cycle spinning is a widely used approach for improving the performance of wavelet-based methods that solve linear inverse problems. Extensive numerical experiments have shown that it significantly improves the quality of the recovered signal without increasing the computational cost. In this letter, we provide the first theoretical convergence result for cycle spinning for solving general linear inverse problems. We prove that the sequence of reconstructed signals is guaranteed to converge to the minimizer of some global cost function that incorporates all wavelet shifts.
Type
research article
Web of Science ID
WOS:000340100500004
Authors
Publication date
2014
Published in
Volume
21
Issue
11
Start page
1326
End page
1330
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
August 29, 2014
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