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: | https://eprints.maths.manchester.ac.uk/id/eprint/1125 |
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- Reconstruction algorithm for the polarization tomography problem with incomplete data. (deposited 17 Jul 2008) [Currently Displayed]
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