Abstract
In the exponential Radon transform in R2, the integrals of a scalar function/over lines, with exponential weight functions, are determined. In this paper we demonstrate how to define two different kinds of exponential Radon transforms for vector fields in R2 in a natural way. It is shown that having data from these transforms it is possible to reconstruct the vector field uniquely. The motivation to study this problem is ultrasound measurements of flows, from which velocity spectra along lines can be determined. The first moment of these can be interpreted by means of one of the exponential vectorial Radon transforms.
Cite
CITATION STYLE
Stråhlén, K. (1997). Exponential vector field tomography. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1311, pp. 348–355). Springer Verlag. https://doi.org/10.1007/3-540-63508-4_142
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