• DocumentCode
    1579896
  • Title

    A smooth non-rectangular time-frequency segmentation of L2 (R2)

  • Author

    Warner, Douglas W. ; Healy, Dennis M., Jr. ; Rockmore, Daniel N.

  • Author_Institution
    Dept. of Math., Dartmouth Coll., Hanover, NH, USA
  • Volume
    1
  • fYear
    1997
  • Firstpage
    695
  • Abstract
    We present a direct generalization of local trigonometric bases to decompositions of L2(R2) with non-rectangular support. We describe decompositions of L2(R2) into n subspaces supported on approximate equiangular sectors and work out the case for n=3 in detail. For prototypical decompositions, windowed circular harmonics serve as basis functions. The technique applies equally well to decompositions of higher dimensional space
  • Keywords
    harmonic analysis; image segmentation; smoothing methods; time-frequency analysis; approximate equiangular sectors; basis functions; decompositions; higher dimensional space; image segmentation; local trigonometric bases; nonrectangular support; smooth nonrectangular time-frequency segmentation; subspaces; windowed circular harmonics; Educational institutions; Geometry; Magnetic resonance imaging; Mathematics; Multidimensional systems; Prototypes; Reflection; Tensile stress; Time frequency analysis; Video coding;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Processing, 1997. Proceedings., International Conference on
  • Conference_Location
    Santa Barbara, CA
  • Print_ISBN
    0-8186-8183-7
  • Type

    conf

  • DOI
    10.1109/ICIP.1997.648008
  • Filename
    648008
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1579896