Lionheart, William and Sharafutdinov, Vladimir (2008) Reconstruction algorithm for the polarization tomography problem with incomplete data. [MIMS Preprint]

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Abstract

In this paper we discuss some issues in polarization tomography. Specifically we describes a slice-by-slice reconstruction algorithm for the truncated transverse ray transform using data from rays normal to only a small number of directions. Specifically an unstable reconstruction procedure is given for three directions and a stable reconstruction procedure for six directions. It is expected that these methods will prove useful in photoelastic tomography.

Item Type: MIMS Preprint
Uncontrolled Keywords: poloarization tomography, photoelastic tomography, truncated transverse ray transform, incomplete data
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 44 Integral transforms, operational calculus
MSC 2010, the AMS's Mathematics Subject Classification > 78 Optics, electromagnetic theory
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 42 Optics
Depositing User: Prof WRB Lionheart
Date Deposited: 17 Jul 2008
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1125

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