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Title AIR Tools - A MATLAB Package for Algebraic Iterative Reconstruction Techniques
Author Saxild-Hansen, Maria
Supervisor Hansen, Per Christian (Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark)
Institution Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark
Thesis level Master's thesis
Year 2010
Abstract In this master thesis a MATLAB package AIR Tools with implementations of several iterative algebraic reconstruction methods for discretizations of tomography problems is developed. The focus is mainly on the two classes of methods: Simultaneous Iterative Reconstruction Technique (SIRT) and Algebraic Reconstruction Techniques (ART). The package also includes three simplified test problems from medical and seismic tomography. For each iterative method a number of strategies for choosing the relaxation parameter and the stopping rule are presented and implemented. The relaxation parameter can be chosen as a fixed parameter or chosen adaptively in each iteration. For the fixed case a training strategy is developed for finding the optimal parameter for a given test problem. The stopping rules provided in the package is the Discrepancy Principle, the Monotone Error Rule and the NCP criterion. For the first two methods a training strategy is also provided for finding an optimal stopping parameter. In addition simulation studies and comparisons of performance of the available methods and strategies are presented and discussed. This thesis also includes manual pages for each implemented routine that describes the use of the implemented routines.
Imprint Technical University of Denmark (DTU) : Kgs. Lyngby, Denmark
Series IMM-M.Sc.-2010-18
Original PDF ep10_18.pdf (1.78 MB)
Admin Creation date: 2010-05-06    Update date: 2010-10-28    Source: dtu    ID: 260336    Original MXD