Block-based Collaborative 3-D Transform Domain Modeling in Inverse Imaging

Julkaisun otsikon käännös: Block-based Collaborative 3-D Transform Domain Modeling in Inverse Imaging

Aram Danielyan

    Tutkimustuotos: VäitöskirjaCollection of Articles

    108 Lataukset (Pure)

    Abstrakti

    The recent developments in image and video denoising have brought a new generation of filtering algorithms achieving unprecedented restoration quality. This quality mainly follows from exploiting various features of natural images. The nonlocal self-similarity and sparsity of representations are key elements of the novel filtering algorithms, with the best performance achieved by adaptively aggregating multiple redundant and sparse estimates. In a very broad sense, the filters are now able, given a perturbed image, to identify its plausible representative in the space or manifold of possible solutions. Thus, they are powerful tools not only for noise removal, but also for providing accurate adaptive regularization to many ill-conditioned inverse imaging problems. In this thesis we show how the image modeling of the well-known Block-matching 3-D transform domain (BM3D) filter can be exploited for designing efficient algorithms for image reconstruction. First, we formalize the BM3D-modeling in terms of the overcomplete sparse frame representation. We construct analysis and synthesis BM3D-frames and study their properties, making BM3D-modeling available for use in variational formulations of image reconstruction problems. Second, we demonstrate that standard variational formulations based on single objective optimization, such as Basis Pursuit Denoising and its various extensions, cannot be used with the imaging models generating non-tight frames, such as BM3D. We propose an alternative sparsity promoting problem formulation based on the generalized Nash equilibrium (GNE). Finally, using BM3D-frames we develop practical algorithms for image deblurring and super-resolution problems. To the best of our knowledge, these algorithms provide results which are the state of the art in the field.
    Julkaisun otsikon käännösBlock-based Collaborative 3-D Transform Domain Modeling in Inverse Imaging
    AlkuperäiskieliEnglanti
    KustantajaTampere University of Technology
    Sivumäärä78
    ISBN (elektroninen)978-952-15-3214-6
    ISBN (painettu)978-952-15-3101-9
    TilaJulkaistu - 5 elok. 2013
    OKM-julkaisutyyppiG5 Artikkeliväitöskirja

    Julkaisusarja

    NimiTampere University of Technology. Publication
    KustantajaTampere University of Technology
    Vuosikerta1145
    ISSN (painettu)1459-2045

    Sormenjälki

    Sukella tutkimusaiheisiin 'Block-based Collaborative 3-D Transform Domain Modeling in Inverse Imaging'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.

    Siteeraa tätä