Electronic Resource
Springer
Numerische Mathematik
48 (1986), S. 251-262
ISSN:
0945-3245
Keywords:
AMS(MOS): 65R10
;
CR: G1.2
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01389474
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