Sökning: "Tikhonov regularization"

Visar resultat 1 - 5 av 10 uppsatser innehållade orden Tikhonov regularization.

  1. 1. Variationell Regularisering av Inversproblem med Till¨ampning inom Skiktr¨ontgen

    Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Sara Sofie Nilsson; Louise Christensson; Oskar Pauli; Gustav Svensson; [2022-07-05]
    Nyckelord :;

    Sammanfattning : The aim of this study was to solve ill-posed inverse problems when reconstructing data by using variational regularization theory. This problem was solved using MATLAB. Data was simulated from MATLAB’s 256×256 Shepp-Logan phantom, which also acted as our reference image. LÄS MER

  3. 2. Regularizing An Ill-Posed Problem with Tikhonov’s Regularization

    Kandidat-uppsats, Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Författare :Herman Singh; [2022]
    Nyckelord :Inverse problem; Ill-posed problems; Tikhonov’s regularization; Fourier series; Helmholtz equation;

    Sammanfattning : This thesis presents how Tikhonov’s regularization can be used to solve an inverse problem of Helmholtz equation inside of a rectangle. The rectangle will be met with both Neumann and Dirichlet boundary conditions. A linear operator containing a Fourier series will be derived from the Helmholtz equation. LÄS MER

  4. 3. The Inverse Source Problem for Helmholtz

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Hugo Fernstrom; Hugo Sträng; [2022]
    Nyckelord :inverse problem; inverse source problem; Helmholtz; Tikhonov regularization;

    Sammanfattning : This paper studies the inverse source problem for the Helmholtz equation with a point source in a two dimensional domain. Given complete boundary data and appropriate discretization Tikhonov regularization is established to be an effective method at finding the point source. LÄS MER

  5. 4. Inverse source modeling of roll induced magnetic signature

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Avdelningen för beräkningsvetenskap

    Författare :Erik Thermaenius; [2022]
    Nyckelord :inverse modeling; inverse; modeling; magnetic; signature; source modeling; tikhonov; roll; magnetic silencing; regularization; regularisation; induction; dipole; dipoles; Helmholtz; inversmodellering; magnetisk; signatur; källmodellering; rullning; rullningsinducerad; regularisering; dipol; dipoler;

    Sammanfattning : Vessels constructed in electrically conductive materials give rise to frequency-dependent, induced magnetic fields when waves of water cause them to roll in the Earth's magnetic field. These fields, typically referred to as roll-induced magnetic vortex fields, are a component of the ship's overall signature, where signature refers to measurable quantities which can reveal or identify objects. LÄS MER

  7. 5. Regularization parameter selection methods for an inverse dispersion problem

    Uppsats för yrkesexamina på avancerad nivå, Umeå universitet/Institutionen för fysik

    Författare :Anna Palmberger; [2021]
    Nyckelord :;

    Sammanfattning : There are many regularization parameter selection methods that can be used when solving inverse problems, but it is not clear which one is best suited for the inverse dispersion problem. The suitability of three different methods for solving the inverse dispersion problem are evaluated here in order to pick a suitable method for these kinds of problems in the future. LÄS MER