Iterative methods for large-scale problems in 3D-tomography | Christian True
| | Abstract | In this thesis we compare di fferent iterative methods to find pros and cons for both 2D and 3D problems. The problems will be defi ned as a tomography test problem, and an introduction to the theory is presented. Throughout the thesis we will de fine new measurement methods to determine if a reconstruction is good or bad, and we will look at certain constraints to investigate whether we should use them. Both noise and error will be simulated in a feasible way to see if the methods can handle the noise and error, and an investigation of limiting- or extreme - values will be considered to determine what is needed to secure a good reconstruction. Also we will consider di fferent stopping criteria and examine how they influence the reconstruction obtained from the iterative methods. We will use our knowledge of the grains to formulate a new stopping criterion, and test if this is applicable. | | Type | Master's thesis [Academic thesis] | | Year | 2011 | | Publisher | Technical University of Denmark, DTU Informatics, E-mail: reception@imm.dtu.dk | | Address | Asmussens Alle, Building 305, DK-2800 Kgs. Lyngby, Denmark | | Series | IMM-M.Sc.-2011-72 | | Note | Supervised by Professor Per Christian Hansen, pch@imm.dtu.dk, DTU Informatics | | Electronic version(s) | [pdf] | | Publication link | http://www.imm.dtu.dk/English.aspx | | BibTeX data | [bibtex] | | IMM Group(s) | Scientific Computing |
|