||AIR Tools - A MATLAB Package for Algebraic Iterative Reconstruction Techniques
||Hansen, Per Christian (Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark)
||Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark
||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.
||Technical University of Denmark (DTU) : Kgs. Lyngby, Denmark
Creation date: 2010-05-06
Update date: 2010-10-28