scholarly journals A nonparametric statistical method for image segmentation using information theory and curve evolution

2005 ◽  
Vol 14 (10) ◽  
pp. 1486-1502 ◽  
Author(s):  
Junmo Kim ◽  
J.W. Fisher ◽  
A. Yezzi ◽  
M. Cetin ◽  
A.S. Willsky
Keyword(s):  
Information Theory ◽  
Image Segmentation ◽  
Statistical Method ◽  
Curve Evolution ◽  
Nonparametric Statistical ◽  
Nonparametric Statistical Method

STATISTICAL APPROACH TO MODELING OF SPATIOTEMPORAL DYNAMICS

2001 ◽  
Vol 11 (11) ◽  
pp. 2731-2738 ◽  
Author(s):  
SIMON MANDELJ ◽  
IGOR GRABEC ◽  
EDVARD GOVEKAR
Keyword(s):  
System Dynamics ◽  
Statistical Method ◽  
Spatiotemporal Dynamics ◽  
State Variable ◽  
Local Modeling ◽  
Spatially Extended ◽  
Recorded Data ◽  
Nonparametric Statistical ◽  
Nonparametric Statistical Method ◽  
Extended Dynamic

Often in the analysis of spatially extended dynamic systems, we do not know an analytical model of the system dynamics, but we can provide spatiotemporal records of the characteristic state variable. The question then arises of how to extract a model of the system dynamics from the corresponding data. As a quite general solution of this problem, we propose a nonparametric statistical method of local modeling. The performance of the proposed method is demonstrated by predicting typical examples of spatiotemporal chaotic data. The results of modeling indicate that the statistical method can be applied to modeling the deterministic properties of spatiotemporal dynamics in terms of recorded data.

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