Removing phase variability to extract a mean shape for juggling trajectories

Brunel, Nicolas and Park, Juhyun (2014) Removing phase variability to extract a mean shape for juggling trajectories. Electronic Journal of Statistics, 8 (2). pp. 1848-1855. ISSN 1935-7524

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Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Electronic Journal of Statistics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2613
Subjects:
ID Code:
70740
Deposited By:
Deposited On:
12 Sep 2014 09:16
Refereed?:
Yes
Published?:
Published
Last Modified:
29 May 2020 01:53