DocumentCode
1845016
Title
Even More Inversion Formulas for the 2D Radon Transform of Functions of Compact and Convex Support
Author
Mohamed, M.-S.O. ; Mennessier, C. ; Clackdoyle, R.
Author_Institution
CNRS, St. Etienne
fYear
2007
fDate
22-26 Aug. 2007
Firstpage
4410
Lastpage
4413
Abstract
In 2004, Clackdoyle and Noo published a class of inversion formulas for the 2D Radon transform which depends on the known radius of support of the unknown function. In this work, we extend this class of inversion formulas from functions of circular support to functions with any compact and convex support. We point out the potential benefits of these new inversion formulas in the context of reconstruction from truncated projections. A preliminary implementation of these new inversion formulas is also presented.
Keywords
Radon transforms; image reconstruction; medical image processing; phantoms; circular support to functions; compact support; convex support; image reconstruction; inversion formulas; phantom; truncated projections; two-dimensional Radon transform; Arm; Costs; Filtering; Geometry; Image analysis; Image converters; Image reconstruction; Kernel; Large Hadron Collider; Tomography; Models, Theoretical;
fLanguage
English
Publisher
ieee
Conference_Titel
Engineering in Medicine and Biology Society, 2007. EMBS 2007. 29th Annual International Conference of the IEEE
Conference_Location
Lyon
ISSN
1557-170X
Print_ISBN
978-1-4244-0787-3
Type
conf
DOI
10.1109/IEMBS.2007.4353316
Filename
4353316
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