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Article: Edge-preserving sectional image reconstruction in optical scanning holography

TitleEdge-preserving sectional image reconstruction in optical scanning holography
Authors
KeywordsAxial distance
Diffraction tomography
Edge preserving
Fourier diffraction theorems
Frequency domains
Issue Date2010
PublisherOptical Society of America. The Journal's web site is located at http://josaa.osa.org/journal/josaa/about.cfm
Citation
Journal Of The Optical Society Of America A: Optics And Image Science, And Vision, 2010, v. 27 n. 7, p. 1630-1637 How to Cite?
AbstractOptical scanning holography (OSH) enables us to capture the three-dimensional information of an object, and a post-processing step known as sectional image reconstruction allows us to view its two-dimensional crosssection. Previous methods often produce reconstructed images that have blurry edges. In this paper, we argue that the hologram's two-dimensional Fourier transform maps into a semi-spherical surface in the threedimensional frequency domain of the object, a relationship akin to the Fourier diffraction theorem used in diffraction tomography. Thus, the sectional image reconstruction task is an ill-posed inverse problem, and here we make use of the total variation regularization with a nonnegative constraint and solve it with a gradient projection algorithm. Both simulated and experimental holograms are used to verify that edge-preserving reconstruction is achieved, and the axial distance between sections is reduced compared with previous regularization methods. © 2010 Optical Society of America.
Persistent Identifierhttp://hdl.handle.net/10722/135092
ISSN
2015 Impact Factor: 1.457
2015 SCImago Journal Rankings: 1.059
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, Xen_HK
dc.contributor.authorLam, EYen_HK
dc.date.accessioned2011-07-27T01:28:17Z-
dc.date.available2011-07-27T01:28:17Z-
dc.date.issued2010en_HK
dc.identifier.citationJournal Of The Optical Society Of America A: Optics And Image Science, And Vision, 2010, v. 27 n. 7, p. 1630-1637en_HK
dc.identifier.issn1084-7529en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135092-
dc.description.abstractOptical scanning holography (OSH) enables us to capture the three-dimensional information of an object, and a post-processing step known as sectional image reconstruction allows us to view its two-dimensional crosssection. Previous methods often produce reconstructed images that have blurry edges. In this paper, we argue that the hologram's two-dimensional Fourier transform maps into a semi-spherical surface in the threedimensional frequency domain of the object, a relationship akin to the Fourier diffraction theorem used in diffraction tomography. Thus, the sectional image reconstruction task is an ill-posed inverse problem, and here we make use of the total variation regularization with a nonnegative constraint and solve it with a gradient projection algorithm. Both simulated and experimental holograms are used to verify that edge-preserving reconstruction is achieved, and the axial distance between sections is reduced compared with previous regularization methods. © 2010 Optical Society of America.en_HK
dc.languageengen_US
dc.publisherOptical Society of America. The Journal's web site is located at http://josaa.osa.org/journal/josaa/about.cfmen_HK
dc.relation.ispartofJournal of the Optical Society of America A: Optics and Image Science, and Visionen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsJournal of the Optical Society of America. A: Optics, Image Science, and Vision. Copyright © Optical Society of America.-
dc.rightsThis paper was published in Journal of the Optical Society of America. A: Optics, Image Science, and Vision and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=josaa-27-7-1630. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.-
dc.subjectAxial distance-
dc.subjectDiffraction tomography-
dc.subjectEdge preserving-
dc.subjectFourier diffraction theorems-
dc.subjectFrequency domains-
dc.titleEdge-preserving sectional image reconstruction in optical scanning holographyen_HK
dc.typeArticleen_HK
dc.identifier.emailLam, EY:elam@eee.hku.hken_HK
dc.identifier.authorityLam, EY=rp00131en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1364/JOSAA.27.001630en_HK
dc.identifier.pmid20596149-
dc.identifier.scopuseid_2-s2.0-77955994538en_HK
dc.identifier.hkuros186759en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955994538&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume27en_HK
dc.identifier.issue7en_HK
dc.identifier.spage1630en_HK
dc.identifier.epage1637en_HK
dc.identifier.isiWOS:000279429700016-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhang, X=35323563100en_HK
dc.identifier.scopusauthoridLam, EY=7102890004en_HK
dc.identifier.citeulike7325175-

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