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Removing phase variability to extract a mean shape for juggling trajectories

Research output: Contribution to journalJournal articlepeer-review

<mark>Journal publication date</mark>29/10/2014
<mark>Journal</mark>Electronic Journal of Statistics
Issue number2
Number of pages8
Pages (from-to)1848-1855
Publication StatusPublished
<mark>Original language</mark>English


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 demonstrated with the juggling data set.