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Digitale Medien

Incomplete data problems in x-ray computerized tomography (1986)

Louis, Alfred K.

Springer

Numerische Mathematik 48 (1986), S. 251-262

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Details

ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 65R10 ; CR: G1.2

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary The reconstruction of an object from its x-ray scans is achieved by the inverse Radon transform of the measured data. For fast algorithms and stable inversion the directions of the x rays have to be equally distributed. In the present paper we study the intrinsic problems arising when the directions are restricted to a limited range by computing the singular value decomposition of the Radon transform for the limited angle problem. Stability considerations show that parts of the spectrum cannot be reconstructed and the irrecoverable functions are characterized.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01389474

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