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2008.75: Reconstruction algorithm for the linearized polarization tomography problem with incomplete data.

2008.75: William Lionheart and Vladimir Sharafutdinov (2008) Reconstruction algorithm for the linearized polarization tomography problem with incomplete data.

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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 2000 > 44 Integral transforms, operational calculus
MSC 2000 > 78 Optics, electromagnetic theory
PACS 2003 > 42 Optics
MIMS number:2008.75
Deposited By:Prof WRB Lionheart
Deposited On:25 March 2009

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