Two-dimensional assignment with merged measurements using Lagrangian relaxation

Mark Briers; Simon Maskell; Mark Philpott

doi:10.1117/12.503834

5 January 2004 Two-dimensional assignment with merged measurements using Langrangrian relaxation

Mark Briers, Simon Maskell, Mark Philpott

Proceedings Volume 5204, Signal and Data Processing of Small Targets 2003; (2004) https://doi.org/10.1117/12.503834
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

Closely spaced targets can result in merged measurements, which complicate data association. Such merged measurements violate any assumption that each measurement relates to a single target. As a result, it is not possible to use the auction algorithm in its simplest form (or other two-dimensional assignment algorithms) to solve the two-dimensional target-to-measurement assignment problem. We propose an approach that uses the auction algorithm together with Lagrangian relaxation to incorporate the additional constraints resulting from the presence of merged measurements. We conclude with some simulated results displaying the concepts introduced, and discuss the application of this research within a particle filter context.

Citation Download Citation

Mark Briers, Simon Maskell, and Mark Philpott "Two-dimensional assignment with merged measurements using Langrangrian relaxation", Proc. SPIE 5204, Signal and Data Processing of Small Targets 2003, (5 January 2004); https://doi.org/10.1117/12.503834

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