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Radon Transforms for Vector Fields.

Stråhlén, Kent (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
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Department of Mathematics, Lund University
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English
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8d8a6a77-a3b8-4be8-8e0e-c53b5168b3fc (old id 770235)
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http://www.maths.lth.se/matematiklth/personal/kent/SSAB97.ps
date added to LUP
2008-09-16 14:37:28
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2016-06-29 09:17:18
@misc{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},
  language     = {eng},
  publisher    = {ARRAY(0x884a168)},
  title        = {Radon Transforms for Vector Fields.},
  year         = {1996},
}