Generalised Recurrence Plot Analysis for Spatial Data
نویسندگان
چکیده
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.
منابع مشابه
A Note on the Properties of Generalised Separable Spatial Autoregressive Process
Spatial modelling has its applications in many fields like geology, agriculture, meteorology, geography, and so forth. In time series a class of models known as Generalised Autoregressive GAR has been introduced by Peiris 2003 that includes an index parameter δ. It has been shown that the inclusion of this additional parameter aids in modelling and forecasting many real data sets. This paper st...
متن کاملDynamic characterization and predictability analysis of wind speed and wind power time series in Spain wind farm
The renewable energy resources such as wind power have recently attracted more researchers’ attention. It is mainly due to the aggressive energy consumption, high pollution and cost of fossil fuels. In this era, the future fluctuations of these time series should be predicted to increase the reliability of the power network. In this paper, the dynamic characteristics and short-term predictabili...
متن کاملSpatio-Phylogenetic Multi-Species Distribution Models
1 Ecologists increasingly consider phylogenetic relatedness in both 2 community composition and spatial arrangements in communities. 3 Here we considered both the phylogenetic correlation between mul4 tiple species and the spatial correlation induced by unobserved spa5 tial heterogeneity on multiple plots. For this analysis, we introduced 6 phylogenetic spatial generalised linear mixed models (...
متن کاملEarly detection of sudden cardiac death using Poincaré plots and recurrence plot-based features from HRV signals
In this paper we present a method to predict sudden cardiac death (SCD) based on the heart rate variability (HRV) signal and recurrence plots and Poincaré plot-extracted features. This work is a challenge since it is aimed to devise a method to predict SCD 5 min before its onset. The method consists of four steps: preprocessing, feature extraction, feature reduction, and classification. In the ...
متن کاملRecurrence Plot Based Measures of Complexity and its Application to Heart Rate Variability Data
The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there are several nonlinear methods which however require rather long time observations. To overcome these difficulties, we propose measures of complexity based on...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006