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A phase space spline smoother for fitting trajectories.

Christopher H Lee1

  • 1Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA. lee@merl.com

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|September 17, 2004
PubMed
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This study introduces a phase space spline smoother for fitting physical motion trajectories. It accurately models dynamic systems by simultaneously fitting position and velocity data from multiple examples.

Area of Science:

  • Computational physics
  • Data analysis
  • Robotics

Background:

  • Modeling dynamic physical systems requires considering both position and velocity.
  • Conventional spline smoothers often struggle to incorporate velocity information effectively.
  • Accurate trajectory fitting is crucial for analyzing and replicating physical motions.

Purpose of the Study:

  • To present a novel phase space spline smoother.
  • To enable simultaneous fitting of position and velocity data for improved trajectory analysis.
  • To provide a robust method for modeling dynamic physical motions.

Main Methods:

  • Development of a phase space spline smoother algorithm.
  • Simultaneous fitting of position and velocity data.

Related Experiment Videos

  • Detailed computational procedure including variance estimation, data preprocessing, multidimensional smoothing, and cross-validation.
  • Main Results:

    • The phase space spline smoother effectively fits trajectories using both position and velocity.
    • Demonstrated successful application on a dataset of handwriting motions.
    • Provides practical guidelines for implementation and parameter selection.

    Conclusions:

    • The phase space spline smoother offers a significant advancement for analyzing dynamic physical motions.
    • This method enhances trajectory fitting accuracy by incorporating velocity information.
    • The approach is versatile and applicable to various multidimensional datasets.