• DocumentCode
    1170694
  • Title

    Region-of-interest tomography using the wavelet transform and angular harmonics

  • Author

    Yagle, Andrew E.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
  • Volume
    1
  • Issue
    9
  • fYear
    1994
  • Firstpage
    134
  • Lastpage
    135
  • Abstract
    We present a new procedure for reconstructing the wavelet transforms of the angular harmonics of an image from the wavelet transforms of the angular harmonics of its projections. The relation is a convolution over scale, rather than over translation, and preservation of compact support of the wavelet basis functions after a derivative-Hilbert transform is not required. It generalizes a recently proposed procedure using exponential radial sampling and decouples over angular harmonics.<>
  • Keywords
    harmonics; image reconstruction; wavelet transforms; angular harmonics; convolution; derivative-Hilbert transform; exponential radial sampling; image projection; image reconstruction; region-of-interest tomography; scales; wavelet basis functions; wavelet transform; Convolution; Fourier transforms; Image reconstruction; Image sampling; Interpolation; Power harmonic filters; Signal processing; Signal processing algorithms; Tomography; Wavelet transforms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/97.319027
  • Filename
    319027
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1170694