Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0167-2789(01)00391-8
Title: A wavelet method for the characterization of spatiotemporal patterns
Authors: Guan, S. 
Lai, C.-H. 
Wei, G.W. 
Keywords: Cahn-Hilliard equation
Multiscale accumulative change
Multiscale accumulative density
Wavelets
Issue Date: 1-Mar-2002
Citation: Guan, S., Lai, C.-H., Wei, G.W. (2002-03-01). A wavelet method for the characterization of spatiotemporal patterns. Physica D: Nonlinear Phenomena 163 (1-2) : 49-79. ScholarBank@NUS Repository. https://doi.org/10.1016/S0167-2789(01)00391-8
Abstract: This paper introduces a wavelet-based method for the characterization of spatiotemporal patterns. Based on the wavelet multiresolution analysis, two wavelet indices, multiscale accumulative density (MAD) and multiscale accumulative change (MAC), are proposed for the characterization of the dynamics of the spatiotemporal patterns. Both indices are constructed by using orthogonal wavelet projection operators. The MAD is a measure of the spatial complexity of a pattern at a given time, whereas the MAC characterizes the spatial complexity of instantaneous change of the spatiotemporal patterns at a given time. The ratio of the MAD indices between the lowest and the highest scales reflects the order of coherence in a pattern. The time series of both MAD and MAC provide the dynamical information of morphological pattern evolutions. Numerical experiments based on the Cahn-Hilliard equation indicate that the proposed method is efficient for quantitatively characterizing the dynamics of the spatiotemporal patterns. © 2002 Published by Elsevier Science B.V.
Source Title: Physica D: Nonlinear Phenomena
URI: http://scholarbank.nus.edu.sg/handle/10635/95703
ISSN: 01672789
DOI: 10.1016/S0167-2789(01)00391-8
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