Characterization of tomographic reconstructions which commute with rigid motions |
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Authors: | W.R Madych S.A Nelson |
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Affiliation: | Department of Mathematics, Iowa State University, Ames, Iowa 50011 USA |
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Abstract: | This note considers linear reconstruction operators for parallel beam tomography when the number of radiographs is finite. It is shown that if such reconstructions are continuous and commute with rigid motions in an appropriate sense, then they must be representable as convolution operators with a polynomial kernel whose degree depends on the number of radiographs. |
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