Show simple item record

dc.contributor.author
Grohs, Philipp
dc.contributor.author
Wiesmann, Uwe
dc.contributor.author
Kereta, Zeljko
dc.date.accessioned
2017-06-11T15:37:12Z
dc.date.available
2017-06-11T15:37:12Z
dc.date.issued
2014-03
dc.identifier.uri
http://hdl.handle.net/20.500.11850/96696
dc.description.abstract
Image deconvolution is an important problem which has seen plenty of progress in the last decades. Due to its ill-posedness, a common approach is to formulate the reconstruction as an optimisation problem, regularised by an additional sparsity-enforcing term. This term is often modeled as an norm measured in the domain of a suitable signal transform. The resulting optimisation problem can be solved by an iterative approach via Landweber iterations with soft thresholding of the transform coefficients. Previous approaches focused on thresholding in the wavelet-domain. In particular, recent work [1] has shown that the use of Shannon wavelets results in particularly efficient reconstruction algorithms. The present paper extends this approach to Shannon shearlets, which we also introduce in this work. We show that for anisotropic blurring filters, such as the motion blur, the novel shearlet-based approach allows for further improvement in efficiency. In particular, we observe that for such kernels using shearlets instead of wavelets improves the quality of image restoration and SERG when compared after the same number of iterations.
dc.language.iso
en
dc.publisher
ETH Zürich
dc.subject
Shannon Shearlets
dc.subject
Image Deconvolution
dc.subject
Fast Thresholded Landweber Method
dc.title
A Shearlet-Based Fast Thresholded Landweber Algorithm for Deconvolution
dc.type
Report
ethz.journal.title
Research Report
ethz.journal.volume
2014-09
ethz.size
22 p.
ethz.notes
.
ethz.publication.place
Zürich
ethz.publication.status
published
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich, direkt::00012 - Lehre und Forschung, direkt::00007 - Departemente, direkt::02000 - Departement Mathematik / Department of Mathematics::02501 - Seminar für Angewandte Mathematik (SAM) / Seminar for Applied Mathematics (SAM)::03941 - Grohs, Philipp (ehemalig)
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich, direkt::00012 - Lehre und Forschung, direkt::00007 - Departemente, direkt::02000 - Departement Mathematik / Department of Mathematics::02501 - Seminar für Angewandte Mathematik (SAM) / Seminar for Applied Mathematics (SAM)::03941 - Grohs, Philipp (ehemalig)
ethz.identifier.url
http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2014/2014-09.pdf
ethz.date.deposited
2017-06-11T15:37:50Z
ethz.source
ECIT
ethz.identifier.importid
imp593652d54f88913123
ethz.ecitpid
pub:151395
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-13T17:58:56Z
ethz.rosetta.lastUpdated
2018-01-10T05:28:46Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=A%20Shearlet-Based%20Fast%20Thresholded%20Landweber%20Algorithm%20for%20Deconvolution&rft.jtitle=Research%20Report&rft.date=2014-03&rft.volume=2014-09&rft.au=Grohs,%20Philipp&Wiesmann,%20Uwe&Kereta,%20Zeljko&rft.genre=report&
 Search via SFX

Files in this item

FilesSizeFormatOpen in viewer

There are no files associated with this item.

Publication type

Show simple item record