scholarly journals Classification of lossless first-order optical systems and the linear canonical transformation

2007 ◽  
Vol 24 (4) ◽  
pp. 1053 ◽  
Author(s):  
Martin J. Bastiaans ◽  
Tatiana Alieva
Keyword(s):  
Canonical Transformation ◽  
Optical Systems ◽  
Linear Canonical Transformation ◽  
First Order

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.

Propagation Properties of Lorentz Beam Passing through First-Order Axisymmetric Optical Systems

2008 ◽  
Vol 35 (4) ◽  
pp. 539-543
Author(s):  
陆群英 Lu Qunying ◽  
陈婷婷 Chen Tingting ◽  
丁桂林 Ding Guilin ◽  
袁孝 Yuan Xiao
Keyword(s):  
Optical Systems ◽  
First Order ◽  
Propagation Properties
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