TY - GEN
T1 - Geometric description and characterization of time series signals
AU - Crider, Lauren N.
AU - Cochran, Douglas
N1 - Funding Information:
This material is based upon work supported in part by the National Science Foundation Graduate Research Fellowship Program under Grant No. 026257-001. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
PY - 2018/4/10
Y1 - 2018/4/10
N2 - This paper considers time series signals in Rn as samples of an embedded space curve and proceeds to characterize such signals in terms of differential-geometric descriptors of their associated curves. In particular, a method of estimating curvature as a function of arc length is presented. Because arc length is invariant to reparameterization of a space curve, this approach provides a representation of the evolution of the time series that is invariant to local variations in the rate of the time series as well as displacement and rotation of the curve in space. The focus here is on ascertaining structural similarity of time series signals by measuring similarity of their curvatures, though extension to other applications and other geometric descriptors (e.g., torsion) is envisioned.
AB - This paper considers time series signals in Rn as samples of an embedded space curve and proceeds to characterize such signals in terms of differential-geometric descriptors of their associated curves. In particular, a method of estimating curvature as a function of arc length is presented. Because arc length is invariant to reparameterization of a space curve, this approach provides a representation of the evolution of the time series that is invariant to local variations in the rate of the time series as well as displacement and rotation of the curve in space. The focus here is on ascertaining structural similarity of time series signals by measuring similarity of their curvatures, though extension to other applications and other geometric descriptors (e.g., torsion) is envisioned.
UR - http://www.scopus.com/inward/record.url?scp=85050979205&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85050979205&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2017.8335364
DO - 10.1109/ACSSC.2017.8335364
M3 - Conference contribution
AN - SCOPUS:85050979205
T3 - Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
SP - 382
EP - 386
BT - Conference Record of 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
A2 - Matthews, Michael B.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 51st Asilomar Conference on Signals, Systems and Computers, ACSSC 2017
Y2 - 29 October 2017 through 1 November 2017
ER -