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Discrete Tomography by Convex-Concave Regularization using Linear and Quadratic Optimization

Weber, Stefan

German Title: Diskrete Tomographie mittels konvex-konkaver Regularisierung und unter Anwendung von linearer und quadratischer Optimierung

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Discrete tomography concerns the reconstruction of objects that are made up from a few different materials, each of which comprising a homogeneous density distribution. Under the assumption that these densities are a priori known new algorithms can be developed which typically need less projection data to reveal appealing reconstruction results.

Translation of abstract (German)

Das Gebiet der Diskrete Tomographie befasst sich mit der tomographischen Rekonstruktion von Objekten, die aus verschiedenen, in sich aber homogenen Materialen aufgebaut sind. Unter der Annahme, daß die Dichten der einzelnen Stoffe a priori bekannt sind, ist es möglich neue Algorithmen zu entwerfen, die aus vergleichsweise wenigen Projektionen bereits sehr gute Rekonstruktionsergebnisse liefern.

Item Type: Dissertation
Supervisor: Schnörr, Prof. Dr. Christoph
Date of thesis defense: 20 March 2009
Date Deposited: 28 Aug 2009 10:19
Date: 2009
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Diskrete Tomographie, Regularisierung, Lineare Optimierung, Quadratische Optimierung, Kombinatorik
Uncontrolled Keywords: Differenz konvexer FunktionenDiscrete tomographie , difference of convex functions , regularization , linear programming , quadratic optimization
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