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Exponential Vector Field Tomography

Stråhlén, Kent LU (1997) Proceedings of ICIAP 97. 9th International Conference on Image Analysis and Processing In Lecture Note in Computer Science. V. 1311 2. p.348-355
Abstract
In the exponential Radon transform in R2, the integrals of a scalar function f over lines, with exponential weight functions, are determined. 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 for the study of 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
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
integral equations, image reconstruction, computerised tomography, blood flow measurement, biomedical ultrasonics, medical image processing, Radon transforms, spectral analysis, vectors
in
Lecture Note in Computer Science. V. 1311
editor
Del Bimbo, Albero
volume
2
pages
348 - 355
publisher
Springer
conference name
Proceedings of ICIAP 97. 9th International Conference on Image Analysis and Processing
external identifiers
  • Scopus:84893802215
ISBN
3 540 63508 4
language
English
LU publication?
yes
id
602811f6-58dc-44e1-a0f7-0cb445f6e5f7 (old id 787575)
date added to LUP
2008-03-31 17:28:34
date last changed
2016-10-13 04:45:16
@misc{602811f6-58dc-44e1-a0f7-0cb445f6e5f7,
  abstract     = {In the exponential Radon transform in R2, the integrals of a scalar function f over lines, with exponential weight functions, are determined. 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 for the study of 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},
  author       = {Stråhlén, Kent},
  editor       = {Del Bimbo, Albero},
  isbn         = {3 540 63508 4},
  keyword      = {integral equations,image reconstruction,computerised tomography,blood flow measurement,biomedical ultrasonics,medical image processing,Radon transforms,spectral analysis,vectors},
  language     = {eng},
  pages        = {348--355},
  publisher    = {ARRAY(0x8dc3358)},
  series       = {Lecture Note in Computer Science. V. 1311},
  title        = {Exponential Vector Field Tomography},
  volume       = {2},
  year         = {1997},
}