ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

Table of Contents
2011's   29,3-4(May)
  Projection algorithms with correction
    By Aurelia Nicola, Constantin Pop ..........1186
Generic Number - 1186
References - 0
Written Date - May 12th, 11
Modified Date - May 12th, 11
Downloaded Counts - 118
Visited Counts - 2358
Original File
We present in this paper two versions of a general correction procedure applied to a
classical linear iterative method. This gives us the possibility, under certain
assumptions, to obtain an extension of it to inconsistent linear least-squares
problems. We prove that some well known extended projection type algorithms from
image reconstruction in computerized tomography fit into one or the other of these
general versions and are derived as particular cases of them. We also present some
numerical experiments on two phantoms widely used in image reconstruction
literature. The experiments show the importance of these extension procedures,
reflected in the quality of reconstructed images.

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