Basis Decomposition of Motion Trajectories Using Spatio-temporal NMF

  • Authors:
  • Sven Hellbach;Julian P. Eggert;Edgar Körner;Horst-Michael Gross

  • Affiliations:
  • Neuroinformatics and Cognitive Robotics Labs, Ilmenau University of Technology, Ilmenau, Germany 98684;Honda Research Institute Europe GmbH, Offenbach/Main, Germany 63073;Honda Research Institute Europe GmbH, Offenbach/Main, Germany 63073;Neuroinformatics and Cognitive Robotics Labs, Ilmenau University of Technology, Ilmenau, Germany 98684

  • Venue:
  • ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part II
  • Year:
  • 2009

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Abstract

This paper's intention is to present a new approach for decomposing motion trajectories. The proposed algorithm is based on non-negative matrix factorization, which is applied to a grid like representation of the trajectories. From a set of training samples a number of basis primitives is generated. These basis primitives are applied to reconstruct an observed trajectory, and the reconstruction information can be used afterwards for classification. An extension of the reconstruction approach furthermore enables to predict the observed movement further into the future. The proposed algorithm goes beyond the standard methods for tracking, since it doesn't use an explicit motion model but is able to adapt to the observed situation. In experiments we used real movement data to evaluate several aspects of the proposed approach.