Generalised Recurrence Plot Analysis for Spatial Data

Details Generalised Recurrence Plot Analysis for Spatial Data Generalised Recurrence Plot Analysis for Spatial Data

2006-06-20

arxiv.org/abs/nlin/0606053v1

Physics Letters A, 360(4-5), 2007, 545-551

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1016/j.physleta.2006.08.058

Recurrence plot based methods are highly efficient and widely accepted tools for the investigation of time series or one-dimensional data. We present an extension of the recurrence plots and their quantifications in order to study recurrent structures in higher-dimensional spatial data. The capability of this extension is illustrated on prototypical 2D models. Next, the tested and proved approach is applied to assess the bone structure from CT images of human proximal tibia. We find that the spatial structures in trabecular bone become more self-similar during the bone loss in osteoporosis.

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