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Targets detection theory, Bayesian filter for mapping

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Master Thesis

My project was about Detection Theory. See my poster

Context

Several cameras scan an unknown map, to find targets. The detection algorithms extract feature points(edges, corners...) and process a binary representation of the possible targets location. False alarm probabilities or prior target distribution are unknown. Three sub problems solved:

  1. Probabilities problem
  • Two independent observers with a unknown probability to say the truth focus on the same target reporting. Unknown prior target distribution. Errors made by the observers (noise) independent of the target presence.
  • Goal: How find out the number of targets? How far each observer can be trusted?
  1. Simultaneous localisation and mapping (SLAM)
  • A pltatform moves upon a binary unknown pattern.
    Assumptions: - rigid motion of the platform (translations only),
    - measurement model of 1.
  • Goal: How simultaneously recover the pattern and the platform position?
    left video is measurements, right one is the posterior probability map to have targets; the rebuilt map.

A new bayesian filter is introduced:

  1. Targets tracking (Applications) Three cameras in a cluttered environnent, with occlusion Ponctual targets, brownian movment. Targets can appear or disappear Goal: Track targets

To go deeper, see my report

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