2008.75: Reconstruction algorithm for the polarization tomography problem with incomplete data.
2008.75: William Lionheart and Vladimir Sharafutdinov (2008) Reconstruction algorithm for the 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: | 17 July 2008 |
Available Versions of this Item
- Reconstruction algorithm for the linearized polarization tomography problem with incomplete data. (deposited 25 March 2009)
- Reconstruction algorithm for the polarization tomography problem with incomplete data. (deposited 22 December 2008)
- Reconstruction algorithm for the polarization tomography problem with incomplete data. (deposited 17 July 2008) [Currently Displayed]
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