Exponential vector field tomography

  • Kent Stråhlén
Session 10: Recognition & Reconstruction
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1311)


In the exponential Radon transform in R2, the integrals of a scalar function f 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.


Vector Field Filter Back Projection Tomographic Reconstruction Velocity Spectrum Straight Pipe 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Kent Stråhlén
    • 1
  1. 1.Department of MathematicsLund Institute of TechnologyLundSweden

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