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  • AMS(MOS): 65 R 10  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Incomplete data problems in X-ray computerized tomography (1989)
    Springer
    Numerische Mathematik 56 (1989), S. 371-383 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65 R 10 ; CR: 61.2
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In the present paper we study truncated projections for the fanbeam geometry in computerized tomography. First we derive consistency conditions for the divergent beam transform. Then we study a singular value decomposition for the case where only the interior rays in the fan are provided, as for example in region-of-interest tomography. We show that the high angular frequency components of the searched-for densities are well determined and we present reconstructions from real data where the missing information is approximated based on the singular value decomposition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396611
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