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A new algorithm for the small-field astrometric point-pattern matching problem

Author

Listed:
  • Cláudio P. Santiago

    (Lawrence Livermore National Laboratory)

  • Carlile Lavor

    (University of Campinas (IMECC - UNICAMP))

  • Sérgio Assunção Monteiro

    (UFRJ - Federal University of Rio de Janeiro)

  • Alberto Kroner-Martins

    (SIM - Universidade de Lisboa)

Abstract

The small-field astrometric point-pattern matching problem is a fundamental problem in astronomy, that although considered a long time ago still lacks a formal definition. It can be textually stated as: given two lists of positions of stars, find the common stars between these lists, taking into account rotation, translation, reflection and scaling operations. It is expected that there might be missing stars between the lists. In this work, we give the astronomical context, review some heuristic methods adopted in the literature, present distance matrix formulations for the problem and propose a new algorithm to solve it.

Suggested Citation

  • Cláudio P. Santiago & Carlile Lavor & Sérgio Assunção Monteiro & Alberto Kroner-Martins, 2018. "A new algorithm for the small-field astrometric point-pattern matching problem," Journal of Global Optimization, Springer, vol. 72(1), pages 55-70, September.
    • Handle: RePEc:spr:jglopt:v:72:y:2018:i:1:d:10.1007_s10898-018-0653-y
    DOI: 10.1007/s10898-018-0653-y
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    Cited by:

    1. Simon J. L. Billinge & Phillip M. Duxbury & Douglas S. Gonçalves & Carlile Lavor & Antonio Mucherino, 2018. "Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures," Annals of Operations Research, Springer, vol. 271(1), pages 161-203, December.
    2. Phil Duxbury & Carlile Lavor & Leo Liberti & Luiz Leduino Salles-Neto, 2022. "Unassigned distance geometry and molecular conformation problems," Journal of Global Optimization, Springer, vol. 83(1), pages 73-82, May.

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