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  • π-line reconstruction formulas in computed tomography

    Creator:
    Hass, Ryan Andrew
    Abstract:
    X-ray computed tomography is a noninvasive imaging modality capable of reconstructing exact density values of 3D objects. Computed tomography machines are deployed across the world to provide doctors with an image that reveals more detail than a standard x-ray image. We investigate algorithms based on exact computed tomography reconstruction formulas...
    Resource Type:
    Dissertation
    Full Text:
    -Line Reconstruction Formulas in Computed Tomography Abstract approved: Adel Faridani X-ray computed

  • Nonuniform Sampling Of Band-limited Functions

    Creator:
    Al-Hammali, Hussain Y.
    Abstract:
    In this thesis, we will study certain generalizations of the classical Shannon Sampling Theorem, which allows for the reconstruction of a pi-band-limited, square-integrable function from its samples on the integers. J. R. Higgins provided a generalization where the integers can be perturbed by less than 1/4, which includes nonuniform and...
    Resource Type:
    Dissertation
    Full Text:
    . Title: Nonuniform Sampling Of Band-limited Functions Abstract approved: Adel Faridani In this thesis

  • Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel

    Creator:
    Morales, Fernando A.
    Abstract:
    This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel. In the first part the problem is modeled by Darcy's law in both the porous medium and in the channel. The permeability in the channel...
    Resource Type:
    Dissertation
    Full Text:
    Peszyn- ska, David Finch, Adel Faridani, and Harry Yeh for their helpful comments and suggestions at