• Login
    View Item 
    •   FFI Publications Home
    • Publications
    • Articles
    • View Item
    •   FFI Publications Home
    • Publications
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A Multiscale Wavelet-Based Test for Isotropy of Random Fields on a Regular Lattice

    View/Open
    1201894.pdf (4.643Mb)
    Date
    2015
    Author
    Thon, Kevin Otto
    Geilhufe, Marc
    Percival, Donald B.
    Metadata
    Show full item record
    Abstract
    A test for isotropy of images modeled as stationary or intrinsically stationary random fields on a lattice is developed. The test is based on the wavelet theory, and can operate on the horizontal and vertical scale of choice, or on any combination of scales. Scale is introduced through the wavelet variances (sometimes called as the wavelet power spectrum), which decompose the variance over different horizontal and vertical spatial scales. The method is more general than existing tests for isotropy, since it handles intrinsically stationary random fields as well as second-order stationary fields. The performance of the method is demonstrated on samples from different random fields, and compared with three existing methods. It is competitive with or outperforms existing methods since it consistently rejects close to the nominal level for isotropic fields while having a rejection rate for anisotropic fields comparable with the existing methods in the stationary case, and superior in the intrinsic case. As practical examples, paper density images of handsheets and mammogram images are analyzed.
    URI
    https://ffi-publikasjoner.archive.knowledgearc.net/handle/20.500.12242/66
    DOI
    10.1109/TIP.2014.2387016
    Description
    Thon, Kevin Otto; Geilhufe, Marc; Percival, Donald B.. A multiscale wavelet-based test for isotropy of random fields on a regular lattice. IEEE Transactions on Image Processing 2015 ;Volum 24.(2) s. 694-708
    Collections
    • Articles

    Browse

    All of FFI PublicationsCommunities & CollectionsBy Issue DateAuthorsTitlesThis CollectionBy Issue DateAuthorsTitles

    My Account

    Login

    CONTACT US

    • FFI Kjeller
      FFI, PO Box 25, 2027 Kjeller
    • Office Address: Instituttvn 20,
      Phone 63 80 70 00
    • biblioteket@ffi.no

    HELPFUL

    • About FFI
    • Career
    • Reports

    Sitemap

    • About cookies (cookies)
    • Newsletter
    • Sitemap

    FOLLOW US

     

     

    © Copyright Norwegian Defence Research Establishment
    Powered by KnowledgeArc