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The objective of extended object tracking is to simultaneously track a target object and estimate its shape. As a consequence, it becomes necessary to incorporate both location and shape errors in the performance assessment of extended object tracking methods. In this work, we highlight the difficulties of selecting a proper metric for this purpose and discuss currently used metrics from literature. Furthermore, we suggest the Gaussian Wasserstein metric for comparing elliptic shapes and illustrate its advantages.
Yang et al. (Thu,) studied this question.