Necessary and Sufficient Consistency Conditions for Fanbeam Projections Along a Line

Abstract : In medical imaging, a fanbeam projection refers to a collection of line integrals of some two-dimensional function, for lines converging on a point known as the source point for X-ray applications. In this work, necessary and sufficient consistency conditions (also known as range conditions) are given for fanbeam projections when the source trajectory follows an infinite straight line. The conditions are specified for both angular and linear parameterizations of the projection rays. In both cases, integrals of the fanbeam projections multiplied by a certain function will be a polynomial in the trajectory variable, so these consistency conditions can be considered true analogs of the well-known Helgason-Ludwig range conditions for parallel projections.
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Article dans une revue
IEEE Transactions on Nuclear Science, Institute of Electrical and Electronics Engineers, 2013, 60 (3), pp.1560-1569
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https://hal-ujm.archives-ouvertes.fr/ujm-00834041
Contributeur : Rolf Clackdoyle <>
Soumis le : vendredi 14 juin 2013 - 07:56:36
Dernière modification le : jeudi 11 janvier 2018 - 06:20:35

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  • HAL Id : ujm-00834041, version 1

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Rolf Clackdoyle. Necessary and Sufficient Consistency Conditions for Fanbeam Projections Along a Line. IEEE Transactions on Nuclear Science, Institute of Electrical and Electronics Engineers, 2013, 60 (3), pp.1560-1569. 〈ujm-00834041〉

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