On the data needed for the accurate reconstruction in 3D diffraction tomography

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

dc.contributor.author	Voulais, 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	2014-03-01T02:42:54Z
dc.date.available	2014-03-01T02:42:54Z
dc.date.issued	2004	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31132
dc.subject	3d reconstruction	en
dc.subject	backpropagation	en
dc.subject	Field Measurement	en
dc.subject	Inverse Scattering	en
dc.subject	Inverse Scattering Problem	en
dc.subject	Spatial Frequency	en
dc.subject	Three Dimensional	en
dc.subject.other	Algorithms	en
dc.subject.other	Fourier transforms	en
dc.subject.other	Green's function	en
dc.subject.other	Image quality	en
dc.subject.other	Image reconstruction	en
dc.subject.other	Information dissemination	en
dc.subject.other	Integration	en
dc.subject.other	Interpolation	en
dc.subject.other	Inverse problems	en
dc.subject.other	3D diffraction tomography	en
dc.subject.other	Direct Fourier Interpolation (DFI)	en
dc.subject.other	Filtered backpropagation (FBP)	en
dc.subject.other	Fourier interpolation algorithm	en
dc.subject.other	Tomography	en
dc.title	On the data needed for the accurate reconstruction in 3D diffraction tomography	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/IST.2004.1397288	en
heal.identifier.secondary	http://dx.doi.org/10.1109/IST.2004.1397288	en
heal.publicationDate	2004	en
heal.abstract	In this paper the three dimensional (3D) extensions of the two well-known Diffraction Tomography algorithms, namely Direct Fourier Interpolation and Filtered Backpropagation (FBP) are presented. These algorithms solve the linearized version of the inverse scattering problem using either the Born or the Rytov approximations which are known to be valid for weak scatterers. We investigate the problem of the amount of data needed for a full 3D reconstruction. Previous attempts for 3D reconstruction using several inverse scattering algorithms were based on scattered field measurements with incident pulse directions restricted exclusively on the xy-plane. This results in ignoring the contribution of some spatial frequencies which are near the z-axis. This effect is studied here by comparing the results of reconstruction with and without data obtained from other incident directions which fill the spatial frequency domain. We conclude that for a class of objects presenting smooth variation along the z-axis, the use of data obtained for incident direction only in the xy-plane is sufficient to obtain a satisfactory quality of reconstruction while quick variations along the z-axis cannot be imagined.	en
heal.journalName	2004 IEEE International Workshop on Imaging Systems and Techniques, IST	en
dc.identifier.doi	10.1109/IST.2004.1397288	en
dc.identifier.spage	80	en
dc.identifier.epage	84	en