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Inversion of the circular Radon transform on an Gaik Ambartsoumian1
 

Summary: Inversion of the circular Radon transform on an
annulus
Gaik Ambartsoumian1
, Rim Gouia-Zarrad1
and Matthew A
Lewis2
1
Department of Mathematics, University of Texas at Arlington, Arlington, TX
76017-0408, USA
2
Department of Radiology, UT Southwestern Medical School, Dallas, TX
75390-9058, USA
E-mail: gambarts@uta.edu, rim.gouia@mavs.uta.edu,
matthew.lewis@utsouthwestern.edu
Abstract. The representation of a function by its circular Radon transform (CRT)
and various related problems arise in many areas of mathematics, physics and imaging
science. There has been a substantial spike of interest towards these problems in the
last decade mainly due to the connection between the CRT and mathematical models
of several emerging medical imaging modalities. This paper contains some new results
about the existence and uniqueness of the representation of a function by its circular

  

Source: Ambartsoumian, Gaik - Department of Mathematics, University of Texas at Arlington

 

Collections: Mathematics