### Abstract

The problem of the reconstruction of a measurable plane set from two projections is considered when the directions of the projections are arbitrary. Via a suitable affine transformation, the problem can be reduced to the solved case of orthogonal projections. The result can also be applied for unknown directions. It is proved that merely a knowledge of the projections (i.e. without their directions) is not enough for the unique reconstruction of a set. However, from two given functions it is possible to decide whether they can determine a set from some directions uniquely, and the corresponding directions of the projections are also computable.

Original language | English |
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Article number | 010 |

Pages (from-to) | 101-107 |

Number of pages | 7 |

Journal | Inverse Problems |

Volume | 7 |

Issue number | 1 |

DOIs | |

Publication status | Published - Dec 1 1991 |

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### ASJC Scopus subject areas

- Theoretical Computer Science
- Signal Processing
- Mathematical Physics
- Computer Science Applications
- Applied Mathematics