Three-dimensional diffraction tomography using filtered backpropagation and multiple illumination planes

Vouldis, AT; Kechribaris, CN; Maniatis, TA; Nikita, KS; Uzunoglu, NK

dc.contributor.author	Vouldis, AT	en
dc.contributor.author	Kechribaris, CN	en
dc.contributor.author	Maniatis, TA	en
dc.contributor.author	Nikita, KS	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:25:24Z
dc.date.available	2014-03-01T01:25:24Z
dc.date.issued	2006	en
dc.identifier.issn	0018-9456	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17649
dc.subject	Acoustic scattering	en
dc.subject	Biomedical imaging	en
dc.subject	Inverse problems	en
dc.subject	Tomography	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Instruments & Instrumentation	en
dc.subject.other	Acoustic scattering	en
dc.subject.other	Biomedical imaging	en
dc.subject.other	Data measurements	en
dc.subject.other	Illumination planes	en
dc.subject.other	Acoustic wave scattering	en
dc.subject.other	Algorithms	en
dc.subject.other	Approximation theory	en
dc.subject.other	Backpropagation	en
dc.subject.other	Biomedical engineering	en
dc.subject.other	Data acquisition	en
dc.subject.other	Inverse problems	en
dc.subject.other	Medical imaging	en
dc.subject.other	Computerized tomography	en
dc.title	Three-dimensional diffraction tomography using filtered backpropagation and multiple illumination planes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TIM.2006.884276	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TIM.2006.884276	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper, a three-dimensional (3-D) extension of the well-known filtered-backpropagation (FBP) algorithm is presented with the aim of taking into account scattered-field-data measurements obtained using incident directions not restricted in a single plane. The FBP algorithm has been extensively used to solve the two-dimensional inverse-scattering problem under the first-order Born and Rytov approximations for weak scatterers. The extension of this algorithm in three dimensions is not straightforward, because the task of collecting the data needed to obtain a low-pass filtered version of the scattering object, taking into account all spatial frequencies within a radius of √2k0, and of incorporating these data to the FBP algorithm, needs to be addressed. A simple extension using incident field directions restricted to a single plane (illumination plane) leaves a region of spatial frequencies of the sphere of radius √2k0 undetermined. The locus of these spatial frequencies may be crucial for the accurate reconstruction of objects which do not vary slowly along the axis perpendicular to the illumination plane. The proposed 3-D FBP algorithm presented here is able to incorporate the data collected from more than one illumination plane and to ensure the reliability of the reconstruction results. © 2006 IEEE.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Instrumentation and Measurement	en
dc.identifier.doi	10.1109/TIM.2006.884276	en
dc.identifier.isi	ISI:000242948700015	en
dc.identifier.volume	55	en
dc.identifier.issue	6	en
dc.identifier.spage	1975	en
dc.identifier.epage	1983	en