Texas A&M University LibrariesTexas A&M University LibrariesTexas A&M University Libraries
    • Help
    • Login
    OAKTrust
    View Item 
    •   OAKTrust Home
    • Colleges and Schools
    • Office of Graduate and Professional Studies
    • Electronic Theses, Dissertations, and Records of Study (2002– )
    • View Item
    •   OAKTrust Home
    • Colleges and Schools
    • Office of Graduate and Professional Studies
    • Electronic Theses, Dissertations, and Records of Study (2002– )
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Application of L1 Minimization Technique to Image Super-Resolution and Surface Reconstruction

    Thumbnail
    View/Open
    TALAVATIFARD-THESIS-2013.pdf (2.710Mb)
    Date
    2013-05-06
    Author
    Talavatifard, Habiballah
    Metadata
    Show full item record
    Abstract
    A surface reconstruction and image enhancement non-linear finite element technique based on minimization of L1 norm of the total variation of the gradient is introduced. Since minimization in the L1 norm is computationally expensive, we seek to improve the performance of this algorithm in two fronts: first, local L1- minimization, which allows parallel implementation; second, application of the Augmented Lagrangian method to solve the minimization problem. We show that local solution of the minimization problem is feasible. Furthermore, the Augmented Lagrangian method can successfully be used to solve the L1 minimization problem. This result is expected to be useful for improving algorithms computing digital elevation maps for natural and urban terrain, fitting surfaces to point-cloud data, and image super-resolution.
    URI
    http://hdl.handle.net/1969.1/149512
    Subject
    L1 minimization
    Parallel Computing
    Image Super-resolution
    Domain Decomposition
    Interior Point method
    Augmented Lagrangian Method
    Surface Reconstruction
    Collections
    • Electronic Theses, Dissertations, and Records of Study (2002– )
    Citation
    Talavatifard, Habiballah (2013). Application of L1 Minimization Technique to Image Super-Resolution and Surface Reconstruction. Master's thesis, Texas A&M University. Available electronically from http : / /hdl .handle .net /1969 .1 /149512.

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV
     

     

    Advanced Search

    Browse

    All of OAKTrustCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDepartmentThis CollectionBy Issue DateAuthorsTitlesSubjectsDepartment

    My Account

    LoginRegister

    Statistics

    View Usage Statistics
    Help and Documentation

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV