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Title Depth Resolution in 3D Imaging
Author Larsen, Elin Aalders
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 thesis we develop software for experimenting with, and analyzing potential-field inversion. The software includes two module-based GUIs, one for magnetic-field inversion in 2D and one for potential-field inversion in 3D. The GUIs make it possible for users to use state-of-the-art techniques to perform experiments with inverse potential-field problems without the need to understand or implement the underlying mathematics. The modules of the GUIs are created such that people with a mathematical and numerical background can use the functionalities of the GUIs separate from the GUIs. Relevant theory about inverse problems and discretization of inverse problems is presented. The regularization methods Truncated SVD, Tikhonov and CGLS are discussed in standard and in general form. Furthermore smoothing norms in the form of derivative smoothing and depth weighting are derived. Experiments with potential-field inversions are conducted in order to establish the reconstruction capabilities and the depth resolution of potential-field problems. We also perform tests of whether incorporating a priori information in the form of either derivative smoothing or depth weighting can improve the depth resolution of a problem. This thesis also includes the manuals for the two implemented GUIs.
Imprint Technical University of Denmark (DTU) : Kgs. Lyngby, Denmark
Series IMM-M.Sc.-2010-36
Fulltext
Original PDF ep10_36_net.pdf (4.96 MB)
Admin Creation date: 2010-06-23    Update date: 2010-08-16    Source: dtu    ID: 264032    Original MXD