## Abstract

We consider three-dimensional (3D) localization and imaging of space debris from only one two-dimensional (2D) snapshot image. The technique involves an optical imager that exploits off-center image rotation to encode both the lateral and depth coordinates of point sources, with the latter being encoded in the angle of rotation of the PSF. We formulate 3D localization into a large-scale sparse 3D inverse problem in discretized form. A recently developed penalty called continuous exact ℓ_{0} (CEL0) is applied in this problem for the Gaussian noise model. Numerical experiments and comparisons illustrate the efficiency of the algorithm.

Original language | English |
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Title of host publication | Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018 |

Editors | Xue-Cheng TAI, Suhua WEI, Haiguang LIU |

Publisher | Springer |

Pages | 1-12 |

Number of pages | 12 |

ISBN (Electronic) | 9789811627019 |

ISBN (Print) | 9789811627002 |

DOIs | |

Publication status | Published - 2021 |

Externally published | Yes |

Event | International Workshop on Image Processing and Inverse Problems, IPIP 2018 - Beijing, China Duration: 21 Apr 2018 → 24 Apr 2018 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 360 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Conference

Conference | International Workshop on Image Processing and Inverse Problems, IPIP 2018 |
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Country/Territory | China |

City | Beijing |

Period | 21/04/18 → 24/04/18 |

### Bibliographical note

Publisher Copyright:© 2021, Springer Nature Singapore Pte Ltd.

## Keywords

- 3D localization
- Nonconvex optimization algorithms
- Point spread function
- Space debris

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