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Curves Similarity Based on Higher Order Derivatives

Authors:
Stephane Puechmorel
Florence Nicol

Keywords: bundle metric, curve manifold, shape space.

Abstract:
In many applications, data originate from the observation of a phenomenon depending on time. Trajectories of mobiles fall within this category and receive an increasing attention as many connected objects have the ability to broadcast their positions. When the raw location is the value of interest, several statistical procedures exist to deal with analysis of trajectories. Depending on whether the geometrical shape or the time to position relation is relevant, one will use a parametrization invariant distance or a simple L2 metric to assess the similarity between any two trajectories. However, it is sometimes advisable to use higher order information like velocity or acceleration,while retaining some kind of geometrical invariance. The purpose of the present work is to introduce a framework especially adapted to such a situation.

Pages: 3 to 8

Copyright: Copyright (c) IARIA, 2017

Publication date: April 23, 2017

Published in: conference

ISSN: 2519-8386

ISBN: 978-1-61208-552-4

Location: Venice, Italy

Dates: from April 23, 2017 to April 27, 2017