title: Penalty methods for the inverse problem in EIT.
abstract: The conductivity profiles arising in medical applications of electrical impedance tomography (EIT) are often of 'blocky' structure, i.e. they are relatively constant inside an organ and are rapidly varying at its boundary. Standard regularization methods for the inverse problem tend to blur these sharply defined edges. A penalty method is proposed which is especially designed for a better reconstruction of discontinuous conductivity profiles.
authors.affiliation: Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Hofmann
mesh_terms: D017097:Electric Impedance; D004566:Electrodes; D004582:Electronics, Medical / Q000379:methods / Q000706:statistics & numerical data; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods / Q000706:statistics & numerical data; D015233:Models, Statistical; D014054:Tomography / Q000379:methods* / Q000706:statistics & numerical data