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A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography
Joint Authors
Louis, A. K.
Theis, D.
Schuster, Thomas
Source
International Journal of Biomedical Imaging
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-03
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
3D cone beam vector field tomography (VFT) aims for reconstructing and visualizing the velocity field of a moving fluid by measuring line integrals of projections of the vector field.
The data are obtained by ultrasound measurements along a scanning curve which surrounds the object.
From a mathematical point of view, we have to deal with the inversion of the vectorial cone beam transform.
Since the vectorial cone beam transform of any gradient vector field with compact support is identically equal to zero, we can only hope to reconstruct the solenoidal part of an arbitrary vector field.
In this paper we will at first summarize important properties of the cone beam transform for three-dimensional solenoidal vector fields and then propose a solution approach based on the method of approximate inverse.
In this context, we intensively make use of results from scalar 3D computerized tomography.
The findings presented in the paper will continuously be illustrated by pictures from first numerical experiments done with exact, simulated data.
American Psychological Association (APA)
Schuster, Thomas& Theis, D.& Louis, A. K.. 2009. A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography. International Journal of Biomedical Imaging،Vol. 2008, no. 2008, pp.1-17.
https://search.emarefa.net/detail/BIM-451832
Modern Language Association (MLA)
Schuster, Thomas…[et al.]. A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography. International Journal of Biomedical Imaging No. 2008 (2008), pp.1-17.
https://search.emarefa.net/detail/BIM-451832
American Medical Association (AMA)
Schuster, Thomas& Theis, D.& Louis, A. K.. A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography. International Journal of Biomedical Imaging. 2009. Vol. 2008, no. 2008, pp.1-17.
https://search.emarefa.net/detail/BIM-451832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451832