Recurrence Indicators for the Estimation of Characteristic Size and Frequency of Spatial Patterns

Recurrence Indicators for the Estimation of Characteristic Size and Frequency of Spatial Patterns

Chiara Mocenni (University of Siena, Italy) and Angelo Facchini (University of Siena, Italy)
DOI: 10.4018/978-1-4666-2077-3.ch010
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Abstract

In this chapter, the authors propose a method for the estimation of the characteristic size and frequency of the typical structure in systems showing two dimensional spatial patterns. In particular, they use several indicators caught from the nonlinear framework for identifying the small and large scales of the systems. The indicators are applied to the images corresponding to the instantaneous realization of the system. The method assumes that it is possible to capture the main system’s properties from the distribution of the recurring patterns in the image and does not require the knowledge of the dynamical system generating the patterns neither the application of any image segmentation method.
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2. Recurrence Analysis Of Complex Spatially Distributed Systems

In order to achieve a better understanding of the spatial extension, a short introduction on RP is given in the following, for a deeper treatment the reader is referred to (N. Marwan, 2007).

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