Regularization in microwave tomography

Examensarbete för masterexamen

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12380/52390
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Type: Examensarbete för masterexamen
Master Thesis
Title: Regularization in microwave tomography
Authors: Voronov, Alexey
Abstract: Microwave tomography is a promising method for the breast cancer imaging. Dielectric properties of the healthy tissue and the tumor have a high contrast under microwave investigation. To determine the dielectric properties from antenna measurements it is necessary to solve the inverse electromagnetic problem. This inverse problem is ill-posed, its solution is not stable. Regularization is used to achieve stability. Ordinary Tikhonov regularization usually makes the solution too smooth. Edge-preserving regularization is investigated to obtain a stable solution without oversmoothing the solution. Tikhonov and Edge-preserving regularizations are compared. It is found that edge-preserving regularization decreases the smoothness of the reconstruction but has the same robustness against the noise compared to Tikhonov regularization.
Keywords: Optimeringslära, systemteori;Matematisk statistik;Matematisk fysik;Elektroteknik och elektronik;Medicinsk teknik;Optimization, systems theory;Mathematical statistics;Mathematical physics;Electrical Engineering, Electronic Engineering, Information Engineering;Medical technology
Issue Date: 2007
Publisher: Chalmers tekniska högskola / Institutionen för signaler och system
Chalmers University of Technology / Department of Signals and Systems
Series/Report no.: Ex - Institutionen för signaler och system, Chalmers tekniska högskola : EX079/2007
URI: https://hdl.handle.net/20.500.12380/52390
Collection:Examensarbeten för masterexamen // Master Theses



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