• DocumentCode
    462778
  • Title

    Two Finite Inverse Hilbert Transform Formulae for Region-of-Interest Tomography

  • Author

    Zeng, Gengsheng L. ; You, Jiangsjemg ; Huang, Qiu ; Gullberg, Grant T.

  • Author_Institution
    UCAIR, Utah Univ., Salt Lake City, UT
  • Volume
    5
  • fYear
    2006
  • fDate
    Oct. 29 2006-Nov. 1 2006
  • Firstpage
    2885
  • Lastpage
    2888
  • Abstract
    Recently we published two explicit formulae for finite inverse Hilbert transforms [You, J and Zeng, GL, 2006]. This paper presents a straightforward proof of the formulae, the data requirements, and some computer simulations to verify the formulae. Examples of region-of-interest (ROI) tomography using truncated projections and the first formula of the finite inverse Hilbert transform are shown.
  • Keywords
    Hilbert transforms; computerised tomography; finite inverse Hilbert transform; region-of-interest tomography; Books; Cities and towns; Computer simulation; Filtering algorithms; Image reconstruction; Integral equations; Nuclear and plasma sciences; Radiology; Tomography; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Nuclear Science Symposium Conference Record, 2006. IEEE
  • Conference_Location
    San Diego, CA
  • ISSN
    1095-7863
  • Print_ISBN
    1-4244-0560-2
  • Electronic_ISBN
    1095-7863
  • Type

    conf

  • DOI
    10.1109/NSSMIC.2006.356479
  • Filename
    4179636