Reconstruction algorithm for the polarization tomography problem with incomplete data.

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
Additional Information:	Revised version as submitted to Contep. Math
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:	22 Dec 2008
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1202

Available Versions of this Item

• Reconstruction algorithm for the polarization tomography problem with incomplete data. (deposited 17 Jul 2008)
  • Reconstruction algorithm for the polarization tomography problem with incomplete data. (deposited 22 Dec 2008) [Currently Displayed]
    • Reconstruction algorithm for the linearized polarization tomography problem with incomplete data. (deposited 25 Mar 2009)

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