Exponential Vector Field Tomography
(1997) Proceedings of ICIAP 97. 9th International Conference on Image Analysis and Processing In Lecture Note in Computer Science. V. 1311 2. p.348355 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:
http://lup.lub.lu.se/record/787575
 author
 Stråhlén, Kent ^{LU}
 organization
 publishing date
 1997
 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
 602811f658dc44e1a0f70cb445f6e5f7 (old id 787575)
 date added to LUP
 20080331 17:28:34
 date last changed
 20161013 04:45:16
@misc{602811f658dc44e1a0f70cb445f6e5f7, 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 = {348355}, publisher = {ARRAY(0x8dc3358)}, series = {Lecture Note in Computer Science. V. 1311}, title = {Exponential Vector Field Tomography}, volume = {2}, year = {1997}, }