Shared more. Cited more. Safe forever.
    • advanced search
    • submit works
    • about
    • help
    • contact us
    • login
    View Item 
    •   MOspace Home
    • University of Missouri-Columbia
    • Graduate School - MU Theses and Dissertations (MU)
    • Theses and Dissertations (MU)
    • Dissertations (MU)
    • 2006 Dissertations (MU)
    • 2006 MU dissertations - Freely available online
    • View Item
    •   MOspace Home
    • University of Missouri-Columbia
    • Graduate School - MU Theses and Dissertations (MU)
    • Theses and Dissertations (MU)
    • Dissertations (MU)
    • 2006 Dissertations (MU)
    • 2006 MU dissertations - Freely available online
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    advanced searchsubmit worksabouthelpcontact us

    Browse

    All of MOspaceCommunities & CollectionsDate IssuedAuthor/ContributorTitleIdentifierThesis DepartmentThesis AdvisorThesis SemesterThis CollectionDate IssuedAuthor/ContributorTitleIdentifierThesis DepartmentThesis AdvisorThesis Semester

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular AuthorsStatistics by Referrer

    Directional time-frequency analysis with applications

    Sansing, Christopher, 1979-
    View/Open
    [PDF] public.pdf (17.62Kb)
    [PDF] short.pdf (18.22Kb)
    [PDF] research.pdf (6.007Mb)
    Date
    2006
    Format
    Thesis
    Metadata
    [+] Show full item record
    Abstract
    The purpose of this dissertation is to introduce a new directionally-sensitive time frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction pieces. A certain coefficient ([product of f,Gm,t,u]) will allow one to see "how much" frequency is in the function (i.e. signal, image, etc.) in a certain time interval, and also in a certain direction. This has been done using wavelets (ridgelets) and this dissertation introduces a similar concept using time-frequency (Gabor) elements. For such elements, a Parseval formula and a continous frame-type representation together with boundedness properties of a semi-discrete frame operator are obtained. New spaces of functions are also presented which are tailored to fit our time-frequency-direction analysis. Applications relating to image processing and medical imaging are also presented along with development of some algorithms.
    URI
    https://doi.org/10.32469/10355/4484
    https://hdl.handle.net/10355/4484
    Degree
    Ph. D.
    Thesis Department
    Mathematics (MU)
    Rights
    OpenAccess.
    Collections
    • 2006 MU dissertations - Freely available online
    • Mathematics electronic theses and dissertations (MU)

    Send Feedback
    hosted by University of Missouri Library Systems
     

     


    Send Feedback
    hosted by University of Missouri Library Systems