Now showing items 1-8 of 8

    • Hybrid inverse problems 

      Chen, Jie (2013-11-14)
      Inverse problems arise in different disciplines including exploration geophysics, medical imaging and nondestructive evaluation. In some settings, a single modality displays either high contrast or high resolution but not ...
    • Hybrid Inverse Problems Arising from Acousto-Electric Coupling 

      Kocyigit, Ilker (2013-11-14)
      We study hybrid imaging techniques that aim to overcome the ill-posedness of the Electric Impedance Tomography using the acousto-electric coupling. For the isotropic case, we consider the problem of reconstructing the ...
    • Inverse Problems for Linear and Non-linear Elliptic Equations 

      Iyer, Karthik Venkatraman
      An inverse problem is a mathematical framework that is used to obtain information about a physical object or system from observed measurements. A typical inverse problem is to recover the coefficients of a partial differential ...
    • Inverse Problems for Scalar Elliptic Equations and Systems 

      Lai, Ru-Yu
      In this thesis, we discuss inverse boundary value problems for scalar equations and for systems. First we introduce the famous Calder\'on problem and its recent developments. We focus on deriving the stability estimate of ...
    • On numerics and inverse problems 

      Caday, Peter Anthony
      In this thesis, two projects in inverse problems are described. The first concerns a simple mathematical model of synthetic aperture radar with undirected beam, modeled as a 2D circular Radon transform with centers restricted ...
    • Some Inverse Problems in Analysis and Geometry 

      ASSYLBEKOV, YERNAT
      The aim of a typical inverse problem is to recover the interior properties of a medium by making measurements only on the boundary. These types of problems are motivated by geophysics, medical imaging and quantum mechanics ...
    • The Inverse Problem of Thermoacoustic Tomography in Attenuating Media 

      Palacios, Benjamin
      Thermoacoustic tomography is a developing medical imaging technique that combines the propagation of electromagnetic and ultrasound waves with the purpose of producing a high contrast and high resolution internal image of ...
    • Two Inverse Problems Arising in Medical Imaging 

      Chang, Yifan
      In this thesis, we discuss two inverse problems arising in medical imaging. The first problem is about a hybrid imaging method using coupled boundary measurements, which combines electrical impedance tomography (EIT) with ...