Solving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithm

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dc.contributorVirginia Techen
dc.contributor.authorZhao, F. J.en
dc.contributor.authorQu, X. C.en
dc.contributor.authorZhang, Xinen
dc.contributor.authorPoon, Ting-Chungen
dc.contributor.authorKim, Taegeunen
dc.contributor.authorKim, Y. S.en
dc.contributor.authorLiang, J. M.en
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessed2014-02-06en
dc.date.accessioned2014-03-14T15:08:16Zen
dc.date.available2014-03-14T15:08:16Zen
dc.date.issued2012-03-01en
dc.description.abstractOptical scanning holography (OSH) records a three-dimensional object into a two-dimensional hologram through two-dimensional optical scanning. The recovery of sectional images from the hologram, termed as an inverse problem, has been previously implemented by conventional methods as well as the use of l(2) norm. However, conventional methods require time consuming processing of section by section without eliminating the defocus noise and the l(2) norm method often suffers from the drawback of over-smoothing. Moreover, these methods require the whole hologram data (real and imaginary parts) to eliminate the twin image noise, whose computation complexity and the sophisticated post-processing are far from desirable. To handle these difficulties, an adaptively iterative shrinkage-thresholding (AIST) algorithm, characterized by fast computation and adaptive iteration, is proposed in this paper. Using only a half hologram data, the proposed method obtained satisfied on-axis reconstruction free of twin image noise. The experiments of multi-planar reconstruction and improvement of depth of focus further validate the feasibility and flexibility of our proposed AIST algorithm. (c) 2012 Optical Society of Americaen
dc.description.sponsorshipProgram of the National Basic Research and Development Program of China (973) 2011CB707702en
dc.description.sponsorshipNational Natural Science Foundation of China 81090272, 81101083, 81101084, 81101100, 81000632, 30900334en
dc.description.sponsorshipShaanxi Provincial Natural Science Foundation 2009JQ8018en
dc.description.sponsorshipFundamental Research Funds for the Central Universitiesen
dc.description.sponsorshipNational Research Foundation of Korea (NRF)en
dc.description.sponsorshipMinistry of Education, Science and Technology NRF-2009-0087476en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFengjun Zhao, Xiaochao Qu, Xin Zhang, Ting-Chung Poon, Taegeun Kim, You Seok Kim, and Jimin Liang, "Solving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithm," Opt. Express 20, 5942-5954 (2012); 10.1364/OE.20.005942en
dc.identifier.doihttps://doi.org/10.1364/OE.20.005942en
dc.identifier.issn1094-4087en
dc.identifier.urihttp://hdl.handle.net/10919/25933en
dc.identifier.urlhttp://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-6-5942en
dc.language.isoenen
dc.publisherOptical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSectional image-reconstructionen
dc.subjectInterior-point methoden
dc.subjectBioluminescenceen
dc.subjectTomographyen
dc.subjectSignal recoveryen
dc.subjectMicroscopyen
dc.titleSolving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithmen
dc.title.serialOptics Expressen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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