Incomplete data problems in X-ray computerized tomography
- Cite this article as:
- Louis, A.K. & Rieder, A. Numer. Math. (1989) 56: 371. doi:10.1007/BF01396611
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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.