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)
    • Theses (MU)
    • 2008 Theses (MU)
    • 2008 MU theses - Access restricted to UM
    • View Item
    •   MOspace Home
    • University of Missouri-Columbia
    • Graduate School - MU Theses and Dissertations (MU)
    • Theses and Dissertations (MU)
    • Theses (MU)
    • 2008 Theses (MU)
    • 2008 MU theses - Access restricted to UM
    • 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

    On the relationship between generalized covariance union and the minimal enclosing ellipsoid problem

    Calhoun, Ryan J.
    View/Open
    [PDF] public.pdf (17.51Kb)
    [PDF] short.pdf (20.22Kb)
    [PDF] research.pdf (522.6Kb)
    Date
    2008
    Format
    Thesis
    Metadata
    [+] Show full item record
    Abstract
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Examination of the behavior of Generalized Covariance Union (GCU) reveals a previously unsuspected superficial relationship to the problem of finding a minimal enclosing ellipsoid of ellipsoids, also called a Löwner ellipsoid. By interpreting any mean and covariance pair of some estimate or measurement as the 1- contour ellipsoid of its associated Gaussian probability density function, the results of GCU appear to form a Lowner 1-[sigma] ellipsoid about the 1-[sigma] ellipsoids of its n inputs. This thesis presents a means to analyze and test this behavior numerically, detailing the one- and two-dimensional cases, using mathematics easily extensible into higher dimensions. The current hypothesis, supported by experimental evidence, is that the relationship between GCU and the minimal enclosing ellipsoid problem is one of equivalence. Subsequent to this finding, pending a formal proof, it will be possible to apply tools from computational geometry to solve data fusion problems.
    URI
    https://hdl.handle.net/10355/6675
    https://doi.org/10.32469/10355/6675
    Degree
    M.S.
    Thesis Department
    Computer science (MU)
    Rights
    Access is limited to the campuses of the University of Missouri.
    Collections
    • 2008 MU theses - Access restricted to UM
    • Computer Science electronic theses and dissertations (MU)

    Send Feedback
    hosted by University of Missouri Library Systems
     

     


    Send Feedback
    hosted by University of Missouri Library Systems