Regularization in microwave tomography

Typ
Examensarbete för masterexamen
Master Thesis
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Publicerad
2007
Författare
Voronov, Alexey
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Sammanfattning
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.
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Ämne/nyckelord
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
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