Simultaneous Spectral Representations of Isotropically Correlated Random Fields

1969 ◽  
Vol 27 (1) ◽  
pp. 272-272
Author(s):  
Hisanao Ogura
Keyword(s):  
Random Fields ◽  
Spectral Representations

scholarly journals Representation and prediction for locally harmonizable isotropic random fields

1995 ◽  
Vol 8 (2) ◽  
pp. 101-114 ◽  
Author(s):  
Randall J. Swift
Keyword(s):  
Least Squares ◽  
Random Fields ◽  
Natural Extension ◽  
Linear Least Squares ◽  
Spectral Representations ◽  
Isotropic Random

The class of harmonizable fields is a natural extension of the class of stationary fields. This paper considers fields whose increments are harmonizable and isotropic. Spectral representations are obtained for locally harmonizable isotropic fields. A linear least squares prediction for locally harmonizable isotropic fields is considered.

Comparison of Nonlinear Spatial Correlation Models by the Influence of the Data Augmentation to the Classification Risk

2002 ◽  
Vol 7 (1) ◽  
pp. 31-42
Author(s):  
J. Šaltytė ◽  
K. Dučinskas
Keyword(s):  
Spatial Correlation ◽  
Random Fields ◽  
Data Augmentation ◽  
Gaussian Random Fields ◽  
Classification Rule ◽  
Numerical Comparison ◽  
First Order ◽  
Bayesian Risk ◽  
Correlation Models

The Bayesian classification rule used for the classification of the observations of the (second-order) stationary Gaussian random fields with different means and common factorised covariance matrices is investigated. The influence of the observed data augmentation to the Bayesian risk is examined for three different nonlinear widely applicable spatial correlation models. The explicit expression of the Bayesian risk for the classification of augmented data is derived. Numerical comparison of these models by the variability of Bayesian risk in case of the first-order neighbourhood scheme is performed.

PRNU-based Image Manipulation Localization with Discriminative Random Fields

2017 ◽  
Vol 2017 (7) ◽  
pp. 113-120 ◽  
Author(s):  
Sujoy Chakraborty ◽  
Matthias Kirchner
Keyword(s):  
Random Fields ◽  
Image Manipulation
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