Desai, Naeem M and Lionheart, William RB (2015) An explicit reconstruction algorithm for the transverse ray transform of a second rank tensor field from three axis data. [MIMS Preprint]
![[thumbnail of TRT3.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
TRT3.pdf Download (947kB) |
Abstract
We give an explicit plane-by-plane filtered back-projection reconstruction algorithm for the transverse ray transform of symmetric second rank tensor fields on Euclidean 3-space, using data from rotation about three orthogonal axes. We show that in the general case two axis data is insufficient but give an explicit reconstruction procedure for the potential case with two axis data.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | Aslo submitted to ArXiV as a preprint |
| Uncontrolled Keywords: | tensor tomography, transverse ray transform, strain imaging |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 45 Integral equations MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 46 Continuum mechanics of solids |
| Depositing User: | Prof WRB Lionheart |
| Date Deposited: | 18 Nov 2015 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2410 |
Actions (login required)
 |
View Item |