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Optimal Fusion of Elliptic Extended Target Estimates based on the Wasserstein Distance

2019-04-01
Kolja Thormann, Marcus Baum

Abstract

This paper considers the fusion of multiple estimates of a spatially extended object, where the object extent is modeled as an ellipse that is parameterized by the orientation and semi-axes lengths. For this purpose, we propose a novel systematic approach that employs a distance measure for ellipses, i.e., the Gaussian Wasserstein distance, as a cost function. We derive an explicit expression for the Minimium Mean Gaussian Wasserstein distance (MMGW) estimate. Based on the concept of a MMGW estimator, we develop efficient methods for the fusion of extended target estimates. The proposed fusion methods are evaluated in a simulated experiment and the benefits of the novel methods are discussed.

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URL

http://arxiv.org/abs/1904.00708

PDF

http://arxiv.org/pdf/1904.00708


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