Exact Fast Algorithm For Optimal Linear Separation Of 2D Distribution

2015 ◽  
Author(s):  
Egor I. Ershov ◽  
Vassili V. Postnikov ◽  
Arseniy P. Terekhin ◽  
Dmitry P. Nikolaev
Keyword(s):  
Fast Algorithm ◽  
Linear Separation ◽  
Optimal Linear

A fast algorithm for optimal linear interpolation

1993 ◽  
Vol 41 (9) ◽  
pp. 2934-2937 ◽  
Author(s):  
M.R.K. Khansari ◽  
A. Leon-Garcia
Keyword(s):  
Fast Algorithm ◽  
Linear Interpolation ◽  
Optimal Linear

scholarly journals A generalization of Otsu method for linear separation of two unbalanced classes in document image binarization

2021 ◽  
Vol 45 (1) ◽  
pp. 66-76
Author(s):  
E.I. Ershov ◽  
S.A. Korchagin ◽  
V.V. Kokhan ◽  
P.V. Bezmaternykh
Keyword(s):  
Parametric Model ◽  
Document Image ◽  
Image Binarization ◽  
Linear Separation ◽  
Complex Background ◽  
Document Image Binarization ◽  
Otsu Method ◽  
Optimal Linear

The classical Otsu method is a common tool in document image binarization. Often, two classes, text and background, are imbalanced, which means that the assumption of the classical Otsu method is not met. In this work, we considered the imbalanced pixel classes of background and text: weights of two classes are different, but variances are the same. We experimentally demonstrated that the employment of a criterion that takes into account the imbalance of the classes' weights, allows attaining higher binarization accuracy. We described the generalization of the criteria for a two-parametric model, for which an algorithm for the optimal linear separation search via fast linear clustering was proposed. We also demonstrated that the two-parametric model with the proposed separation allows increasing the image binarization accuracy for the documents with a complex background or spots.

Optimization of Perfect Reconstruction Cosine-Modulated Filter Banks: Fast Algorithm

2001 ◽  
Vol 56 (12) ◽  
pp. 8 ◽  
Author(s):  
Oscar G. Ibarra-Manzano ◽  
Yuriy V. Shkvarko ◽  
Rene Jaime-Rivas ◽  
Jose A. Andrade-Lucio ◽  
Gordana Jovanovic-Dolecek
Keyword(s):  
Fast Algorithm ◽  
Filter Banks ◽  
Perfect Reconstruction

OPTIMAL LINEAR CONTROL APPLIED IN A ENERGY HARVESTING DYNAMIC SYSTEM WITH PERIODIC EXCITATION

2019 ◽  
Author(s):  
Estevão Fuzaro de Almeida ◽  
Fabio Roberto Chavarette ◽  
Douglas da Costa Ferreira
Keyword(s):  
Energy Harvesting ◽  
Dynamic System ◽  
Linear Control ◽  
Periodic Excitation ◽  
Optimal Linear
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