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    • Inverse Problems and Imaging Journal

    Papers
    LARGE REGION INPAINTING BY RE-WEIGHTED REGULARIZED METHODS
    Yiting Chen,Jia Li,Qingyun Yu
    Inverse Problems and Imaging（2021）SCI 4区
    In the development of imaging science and image processing request in our daily life, inpainting large regions always plays an important role. However, the existing local regularized models and some patch manifold based non-local models are often not effective in restoring the fe...
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    New Results on Transmission Eigenvalues
    Fioralba Cakoni,Drossos Gintides
    Inverse Problems and Imaging（2010）SCI 4区
    We consider the interior transmission eigenvalue problem corresponding to the inverse scattering problem for an isotropic inhomogeneous medium. We first prove that transmission eigenvalues exist for media with index of refraction greater or less than one without assuming that the...
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    A Coupled Total Variation Model With Curvature Driven For Image Colorization
    Zhengmeng Jin, Chen Zhou,Michael K. Ng
    Inverse Problems and Imaging（2016）SCI 4区
    In this paper, we study the problem of image colorization based on the propagation from given color pixels to the other grey-level pixels in grayscale images. We propose to use a coupled total variation model with curvature information of luminance channel to control the coloriza...
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    Direct Regularized Reconstruction for the Three-Dimensional Calderón Problem
    Kim Knudsen, Aksel Kaastrup Rasmussen
    Inverse Problems and Imaging（2022）SCI 4区
    Electrical Impedance Tomography gives rise to the severely ill-posed Calderón problem of determining the electrical conductivity distribution in a bounded domain from knowledge of the associated Dirichlet-to-Neumann map for the governing equation. The uniqueness and stability que...
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    An Integral Equation Approach and the Interior Transmission Problem for Maxwell's Equations
    Andreas Kirsch
    Inverse Problems and Imaging（2007）SCI 4区
    In the first part of this paper we recall the direct scatteringproblem for time harmonic electromagnetic fields where arbitrary incidentfields are scattered by a medium described by a space dependent permittivity,permeability, and conductivity. We present an integral equation app...
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    The Bayesian Formulation of EIT: Analysis and Algorithms
    Mattiew M. Dunlop,Andrew M. Stuart
    Inverse Problems and Imaging（2016）SCI 4区
    We provide a rigorous Bayesian formulation of the EIT problem in an infinite dimensional setting, leading to well-posedness in the Hellinger metric with respect to the data. We focus particularly on the reconstruction of binary fields where the interface between different media i...
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    Euclidean Skeletons Using Closest Points
    Songting Luo,Leonidas J. Guibas,Hong-Kai Zhao
    Inverse Problems and Imaging（2011）SCI 4区
    In this paper, we present an efficient algorithm for computing the Euclidean skeleton of an object directly from a point cloud representation on an underlying grid. The key point of this algorithm is to identify those grid points that are (approximately) on the skeleton using the...
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    Resolution Enhancement from Scattering in Passive Sensor Imaging with Cross Correlations
    Josselin Garnier,George Papanicolaou
    Inverse Problems and Imaging（2014）SCI 4区
    It was shown in [Garnier et al., SIAM J. Imaging Sciences 2 (2009), 396] that it is possible to image reflectors by backpropagating cross correlations of signals generated by ambient noise sources and recorded at passive sensor arrays. The resolution of the image depends on the d...
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    A New Exact Inversion Method for Exponential Radon Transform Using the Harmonic Analysis of the Euclidean Motion Group
    Can Evren Yarman,Birsen Yazici
    Inverse Problems and Imaging（2007）SCI 4区
    This paper presents a new method for the exponential Radon transform inversion based on the harmonic analysis of the Euclidean motion group of the plane. The proposed inversion method is based on the obser- vation that the exponential Radon transform can be modified to obtain a n...
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    Determining Nonsmooth First Order Terms from Partial Boundary Measurements
    Kim Knudsen,Mikko Salo
    Inverse Problems and Imaging（2007）SCI 4区
    We extend results of Dos Santos Ferreira-Kenig-Sjostrand-Uhlmann (Comm. Math. Phys., 2007) to less smooth coefficients, and we show that measurements on part of the boundary for the magnetic Schrodinger operator determine uniquely the magnetic field related to a Holder continuous...
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    The Broken Ray Transform in N Dimensions with Flat Reflecting Boundary
    Mark Hubenthal
    Inverse Problems and Imaging（2015）SCI 4区
    We study the broken ray transform on $n$-dimensional Euclidean domains where the reflecting parts of the boundary are flat and establish injectivity and stability under certain conditions. Given a subset $E$ of the boundary $\partial \Omega$ such that $\partial \Omega \setminus E...
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    Fine-Tuning Electrode Information in Electrical Impedance Tomography
    Jeremi Darde,Harri Hakula,Nuutti Hyvonen,Stratos Staboulis
    Inverse Problems and Imaging（2012）SCI 4区
    Electrical impedance tomography is a noninvasive imaging technique for recovering the admittivity distribution inside a body from boundary measurements of current and voltage. In practice, impedance tomography suffers from inaccurate modelling of the measurement setting: The exac...
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    Variational Source Conditions and Stability Estimates for Inverse Electromagnetic Medium Scattering Problems
    Frederic Weidling,Thorsten Hohage
    Inverse Problems and Imaging（2017）SCI 4区
    This paper is concerned with the inverse problem to recover the scalar, complex-valued refractive index of a medium from measurements of scattered time-harmonic electromagnetic waves at a fixed frequency. The main results are two variational source conditions for near and far fie...
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    Gauge Freedoms in the Anisotropic Elastic Dirichlet-to-Neumann Map
    Joonas Ilmavirta,Hjørdis Schlüter
    Inverse Problems and Imaging（2024）SCI 4区
    We address the inverse problem of recovering the stiffness tensor and density of mass from the Dirichlet-to-Neumann map. We study the invariance of the Euclidean and Riemannian elastic wave equation under coordinate transformations. Furthermore, we present gauge freedoms between ...
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    Two Dimensional Histogram Analysis Using the Helmholtz Principle
    Arjuna Flenner,Gary A. Hewer,Charles S. Kenney
    Inverse Problems and Imaging（2008）SCI 4区
    An algorithm for two dimensional histogram modal analysis is presented. A major challenge in two dimensional histogram analysis is to provide an accurate location and description of the extended modal shape. The approach presented in this paper combines the Fast Level Set Transfo...
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    A Variational Model with Fractional-Order Regularization Term Arising in Registration of Diffusion Tensor Image
    Huan Han
    Inverse Problems and Imaging（2018）SCI 4区
    In this paper, a new variational model with fractional-order regularization term arising in registration of diffusion tensor image(DTI) is presented. Moreover, the existence of its solution is proved to ensure that there is a regular solution for this model. Furthermore, three nu...
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    Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data
    Alexey Smirnov,Michael Klibanov,Loc Nguyen
    Inverse Problems and Imaging（2020）SCI 4区
    A version of the convexification numerical method for a Coefficient Inverse Problem for a 1D hyperbolic PDE is presented. The data for this problem are generated by a single measurement event. This method converges globally. The most important element of the construction is the p...
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    POISSON IMAGE DENOISING BASED ON FRACTIONAL-ORDER TOTAL VARIATION
    Mujibur Rahman Chowdhury,Jun Zhang,Jing Qin,Yifei Lou
    Inverse Problems and Imaging（2020）SCI 4区
    Poisson noise is an important type of electronic noise that is present in a variety of photon-limited imaging systems. Different from the Gaussian noise, Poisson noise depends on the image intensity, which makes image restoration very challenging. Moreover, complex geometry of im...
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    INVERSE N-BODY SCATTERING WITH THE TIME-DEPENDENT HARTREE-FOCK APPROXIMATION
    Michiyuki Watanabe
    Inverse Problems and Imaging（2021）SCI 4区
    We consider an inverse N-body scattering problem of determining two potentials-an external potential acting on all particles and a pair interaction potential-from the scattering particles. This paper finds that the time-dependent Hartree-Fock approximation for a three-dimensional...
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    A NEW VARIATIONAL APPROACH BASED ON LEVEL-SET FUNCTION FOR CONVEX HULL PROBLEM WITH OUTLIERS
    Lingfeng Li,Shousheng Luo,Xue-Cheng Tai,Jiang Yang
    Inverse Problems and Imaging（2021）SCI 4区
    Seeking the convex hull of an object (or point set is a very fundamental problem arising from various tasks. In this work, we propose a variational approach based on the level-set representation for convex hulls of 2-dimensional objects. This method can adapt to exact and inexact...
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