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Backprojection inverse filtration for laminographic reconstruction

Backprojection inverse filtration for laminographic reconstruction
Backprojection inverse filtration for laminographic reconstruction
Traditional tomography uses circular trajectories and here, filtered backprojection often works well. However, for objects with large aspect rations, rotational tomography is often not feasible. In these cases, other trajectories can be more appropriate. For generic trajectories filtered backprojection methods might not work well and full iterative reconstruction can be computationally demanding. In this paper we thus propose a third paradigm that combines aspects of both of these techniques. We use interpolation and backprojection techniques to generate an initial estimate of an object's internal structure using projection images taken at different orientations. Depending on the scanning geometry used to calculate the tomographic projections, this initial estimate can be understood as a blurred (filtered) approximation of the actual structure. For each scanning geometry, we specify the equivalent blurring operator that would provide the same estimate directly from a representation of the object's internal structure. We then use iterative techniques to invert this filtering operation, thus estimating the internal structure from the estimate of its blurred representation.
Transmission tomography, inverse problems, X-ray imaging
Blumensath, Thomas
470d9055-0373-457e-bf80-4389f8ec4ead
Blumensath, Thomas
470d9055-0373-457e-bf80-4389f8ec4ead

Blumensath, Thomas (2018) Backprojection inverse filtration for laminographic reconstruction. IET Image Processing. (In Press)

Record type: Article

Abstract

Traditional tomography uses circular trajectories and here, filtered backprojection often works well. However, for objects with large aspect rations, rotational tomography is often not feasible. In these cases, other trajectories can be more appropriate. For generic trajectories filtered backprojection methods might not work well and full iterative reconstruction can be computationally demanding. In this paper we thus propose a third paradigm that combines aspects of both of these techniques. We use interpolation and backprojection techniques to generate an initial estimate of an object's internal structure using projection images taken at different orientations. Depending on the scanning geometry used to calculate the tomographic projections, this initial estimate can be understood as a blurred (filtered) approximation of the actual structure. For each scanning geometry, we specify the equivalent blurring operator that would provide the same estimate directly from a representation of the object's internal structure. We then use iterative techniques to invert this filtering operation, thus estimating the internal structure from the estimate of its blurred representation.

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Accepted/In Press date: 21 March 2018
Keywords: Transmission tomography, inverse problems, X-ray imaging

Identifiers

Local EPrints ID: 418927
URI: http://eprints.soton.ac.uk/id/eprint/418927
PURE UUID: 6de919a2-feeb-40a5-9532-44d307c5dc84

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Date deposited: 26 Mar 2018 16:30
Last modified: 04 Aug 2020 04:01

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