View Item 
        •   Utrecht University Student Theses Repository Home
        • UU Theses Repository
        • Theses
        • View Item
        •   Utrecht University Student Theses Repository Home
        • UU Theses Repository
        • Theses
        • View Item
        JavaScript is disabled for your browser. Some features of this site may not work without it.

        Browse

        All of UU Student Theses RepositoryBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

        R-refinement in image-processing via the PDE-approach

        Thumbnail
        View/Open
        OronK MA2011.pdf (2.708Mb)
        Publication date
        2011
        Author
        Oron, K.E.
        Metadata
        Show full item record
        Summary
        (Digital) Signal Processing plays a huge role in computer vision. We will use two related Partial Differential Equations (PDEs), known for their smoothing feature, to investigate the removal of noise in (digital) signals, namely: the Heat and Perona- Malik equation. This report explains how we can do (digital) signal processing on a bounded domain $_ Rn (n = 1; 2)$, via a PDE approach. Depending on the type of noise present in the signal, the PDE approach gives desirable results. For faster iteration with the Perona-Malik equation we first need an (un)conditionally stable finite difference method or use a non uniform grid with $R$-refinement (adaptive grids) for a possibly better edge detection.
        URI
        https://studenttheses.uu.nl/handle/20.500.12932/9414
        Collections
        • Theses
        Utrecht university logo