Restoration of images with missing high-frequency components by minimizing the L1 norm of the solution vector

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DOIResolve DOI: http://doi.org/10.1364/AO.24.001415
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TypeArticle
Journal titleApplied Optics
ISSN1559-128X
Volume24
Issue10
Pages14151420; # of pages: 6
AbstractA novel algorithm for restoring an optical signal of spatial finite extent, which is subjected to low-pass frequency filtering, is presented. The problem is treated as an algebraic image restoration problem. The algorithm minimizes the L1 norm of the solution vector, subject to the constraints that the solution amplitude values are non-negative and bounded. Physically acceptable solutions of the resulting ill-posed system of equations are obtained by replacing the system by an approximate one of smaller rank. Numerical results show that this algorithm compares favorably with other known methods. Comments and conclusions are given.
Publication date
LanguageEnglish
AffiliationNational Research Council Canada
Peer reviewedYes
NRC number24584
NPARC number21273714
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Record identifiera0d67d1e-983f-41ad-98cd-ff617c87184e
Record created2015-01-20
Record modified2016-05-09
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