## Abstract

Let F represent a digitized version of an image f (x,y ). Assume that the image fits inside a rectangular region and this region is subdivided into M × N squares. We call these squares the shifted box functions. Thus f ({x,y ) is approximated by M × N matrix F. This paper proofs that F can be recovered exactly and uniquely from the Radon transform of f using only one selected view angle with a well selected family of MN lines. The paper also proposes a precise method for computing the Radon transform of an image. The approach can be categorized as an algebraic reconstruction, but it is merely a theoretical contribution for the field of limited data tomography.

Original language | British English |
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Pages (from-to) | 9672-9679 |

Number of pages | 8 |

Journal | IEEE Access |

Volume | 11 |

DOIs | |

State | Published - 2023 |

## Keywords

- Algebraic reconstruction
- limited data tomography
- radon transform
- tomography