Abstract
An explicit inversion formula for general integral transforms is given in the framework of constructible functions. It applies in particular to the real Radon transform in any dimension or the real X-rays transform in even dimension. For example, it allows us to reconstruct a body in a three dimensional vector space from the knowledge of the number of connected components and the number of holes of all its intersection by two dimensional affine slices.
Cite
CITATION STYLE
Schapira, P. (1995). Tomography of constructible functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 948, pp. 427–435). Springer Verlag. https://doi.org/10.1007/3-540-60114-7_33
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