Radon Transforms for Vector Fields.
(1996)- Abstract
- In the inversion in R 2 of the exponential Radon transform, a scalar function f is found from its integrals, with exponential weight functions, over lines. In this paper we demonstrate how to define two different kinds of exponential Radon transforms for vector fields in R 2 in a natural way. It is shown that having data from these exponential vectorial Radon transforms it is possible to reconstruct the vector field uniquely. The motivation to study these kinds of problems has been ultrasound measurements of AEows, from which velocity spectra along lines can be determined. The first moment of these
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/770235
- author
- Stråhlén, Kent
- publishing date
- 1996
- type
- Book/Report
- publication status
- published
- subject
- publisher
- Department of Mathematics, Lund University
- language
- English
- LU publication?
- no
- id
- 8d8a6a77-a3b8-4be8-8e0e-c53b5168b3fc (old id 770235)
- alternative location
- http://www.maths.lth.se/matematiklth/personal/kent/SSAB97.ps
- date added to LUP
- 2016-04-04 11:03:05
- date last changed
- 2018-11-21 21:02:21
@techreport{8d8a6a77-a3b8-4be8-8e0e-c53b5168b3fc, abstract = {{In the inversion in R 2 of the exponential Radon transform, a scalar function f is found from its integrals, with exponential weight functions, over lines. In this paper we demonstrate how to define two different kinds of exponential Radon transforms for vector fields in R 2 in a natural way. It is shown that having data from these exponential vectorial Radon transforms it is possible to reconstruct the vector field uniquely. The motivation to study these kinds of problems has been ultrasound measurements of AEows, from which velocity spectra along lines can be determined. The first moment of these}}, author = {{Stråhlén, Kent}}, institution = {{Department of Mathematics, Lund University}}, language = {{eng}}, title = {{Radon Transforms for Vector Fields.}}, url = {{http://www.maths.lth.se/matematiklth/personal/kent/SSAB97.ps}}, year = {{1996}}, }