Hybrid Methods for Large-Scale Tomographic Reconstructions

Ditte Iben Marcussen

AbstractThe main focus of this master thesis is to solve an inverse problem using a stochastic method. The inverse problem is based on a di ffraction problem from an experiment conducted in Grenoble, France. The goal is to understand the mathematics behind the physical experiment, and solve the problem using a stochastic method. One of the important aspects of this thesis is to investigate, whether a deterministic solution of the problem can be used to optimize the solution found by a stochastic method.
To understand how the stochastic method deals with this physical problem a simulation study is conducted. First a simulation study on a simple mathematical model is performed and analyzed. The fi ndings from this simple model can then be applied, when dealing with the more complex mathematical model. There are di fferent aspects of the stochastic method, which we are able to exploit. In the simulation studies one of the main focus areas will be exploring the performance of the method based on di fferent starting guesses. Also the type and amount of noise on data will be tested in accordance with the performance of the method. When the model is fully understood, a complex problem is solved and analyzed.
Throughout the thesis the results are presented in various ways to illustrate how the method actually works.
TypeMaster's thesis [Academic thesis]
Year2012
PublisherTechnical University of Denmark, DTU Informatics, E-mail: reception@imm.dtu.dk
AddressAsmussens Alle, Building 305, DK-2800 Kgs. Lyngby, Denmark
SeriesIMM-M.Sc.-2012-16
NoteSupervised by Professor Per Christian Hansen, pch@imm.dtu.dk, DTU Informatics, Professor Klaus Mosegaard, DTU Informatics, and Senior Scientist S๘ren Schmidt, DTU Ris๘
Electronic version(s)[pdf]
Publication linkhttp://www.imm.dtu.dk/English.aspx
BibTeX data [bibtex]
IMM Group(s)Scientific Computing


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