Removing phase variability to extract a mean shape for juggling trajectories

Nicolas J.-B. Brunel, Juhyun Park
2014 Electronic Journal of Statistics  
One of the purposes of the curve alignment has been to recover a structural mean of the curves by taking into account the common structural information or shape. Borrowing ideas from shape analysis, we introduce the Frenet-Serret framework to remove phase variation and to define a mean shape for three dimensional curves. Our method effectively regularizes the estimation of the geometry through curvature and torsion, and does not require curve alignment to define a mean. The method is
more » ... ethod is demonstrated with the juggling data set. MSC 2010 subject classifications: Primary 62G05, 65D10; secondary 49K15.
doi:10.1214/14-ejs937e fatcat:lks7zbacp5f3jfumkxmznr2z7u