An Active Curve Approach for Tomographic Reconstruction of Binary Radially Symmetric Objects

I. Abraham (), R. Abraham () and M. Bergounioux ()
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I. Abraham: CEA Ile de France
R. Abraham: CNRS, Université d’Orléans, Laboratoire MAPMO- Fédération Denis Poisson
M. Bergounioux: CNRS, Université d’Orléans, Laboratoire MAPMO- Fédération Denis Poisson

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 663-670 from Springer

Abstract: Abstract This paper deals with tomographic reconstruction of radially symmetric objects from a single radiograph, in order to study the behavior of shocked material. Usual tomographic reconstruction algorithms (such as generalized inverse or filtered back-projection) cannot be applied here. To improve the reconstruction, we assume that the object is binary so that it may be described by curves that separate the two materials. We present a BV-model that leads to a non local Hamilton-Jacobi equation, via a level set strategy.

Keywords: Tomographic Reconstruction; Real Projection; Symmetric Object; Free Discontinuity Problem; Curvilinear Abscissa (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_79

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DOI: 10.1007/978-3-540-69777-0_79

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