Regularization in microwave tomography

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dc.contributor.authorVoronov, Alexey
dc.contributor.departmentChalmers tekniska högskola / Institutionen för signaler och systemsv
dc.contributor.departmentChalmers University of Technology / Department of Signals and Systemsen
dc.date.accessioned2019-07-03T12:05:43Z
dc.date.available2019-07-03T12:05:43Z
dc.date.issued2007
dc.description.abstractMicrowave 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.
dc.identifier.urihttps://hdl.handle.net/20.500.12380/52390
dc.language.isoeng
dc.relation.ispartofseriesEx - Institutionen för signaler och system, Chalmers tekniska högskola : EX079/2007
dc.setspec.uppsokTechnology
dc.subjectOptimeringslära, systemteori
dc.subjectMatematisk statistik
dc.subjectMatematisk fysik
dc.subjectElektroteknik och elektronik
dc.subjectMedicinsk teknik
dc.subjectOptimization, systems theory
dc.subjectMathematical statistics
dc.subjectMathematical physics
dc.subjectElectrical Engineering, Electronic Engineering, Information Engineering
dc.subjectMedical technology
dc.titleRegularization in microwave tomography
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster Thesisen
dc.type.uppsokH
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