DocumentCode :
871868
Title :
A phase space spline smoother for fitting trajectories
Author :
Lee, Christopher H.
Author_Institution :
Mitsubishi Electr. Res. Labs., Cambridge, MA, USA
Volume :
34
Issue :
1
fYear :
2004
Firstpage :
346
Lastpage :
356
Abstract :
This paper presents a phase space spline smoother, which is especially useful for finding a best-fit trajectory from multiple examples of a given physical motion. Unlike conventional spline smoothers, the phase space spline smoother can simultaneously fit position and velocity information. The use of velocity information is important for modeling the dynamic motion of physical systems because the state space of these systems typically includes both position and velocity variables. A detailed description of the computational procedure is presented, along with a discussion of computational expense and practical guidelines for variance estimation, preprocessing of the target dataset, smoothing of multidimensional datasets, and cross-validation for selection of smoothing weights. The smoother is demonstrated on a dataset of handwriting motions.
Keywords :
biomechanics; curve fitting; handwriting recognition; motion estimation; numerical stability; smoothing methods; splines (mathematics); statistical analysis; handwriting motion data set; multidimensional dataset smoothing; phase space spline smoother; physical system motion modeling; state space method; trajectory fitting; variance estimation; velocity information; Curve fitting; Humans; Kernel; Motion analysis; Multidimensional systems; Noise reduction; Parametric statistics; Smoothing methods; Spline; State-space methods;
fLanguage :
English
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
Publisher :
ieee
ISSN :
1083-4419
Type :
jour
DOI :
10.1109/TSMCB.2003.817027
Filename :
1262508
Link To Document :
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