Data protection based on encryption using Ateb-functions

Nazarkevych, Mariya; Oliarnyk, Roman; Troyan, Oksana; Nazarkevych, Hanna

doi:10.1109/stc-csit.2016.7589861

Cited by 15 publications

(4 citation statements)

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“…The differential equations given in (3) with power nonlinearity are solved. The graphic solutions with various parameters of m and n are shown to satisfy the conditions of (4) and (5), and they are periodic. It is shown that solutions of the differential equations with power nonlinearity acquire the values shown in Fig.…”

Section: Construction and Properties Of Ateb-functions For Filtrationmentioning

confidence: 99%

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Detection of regularities in the parameters of the atebgabor method for biometric image filtration

Nazarkevych

Riznyk

Samotyy

et al. 2019

EEJET

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Розроблено новий метод фiльтрацiї бiометричних зображень на основi Ateb-Габора. Метод базується на загальновiдомому фiльтрi Габора та дозволяє перебудовувати зображення iз чiткiшими контурами. Тому даний метод має застосування до бiометричних зображень, де створення чiтких контурiв є особливо актуальне. При фiльтрацiї Габором вiдбувається реконструкцiя зображення шляхом множення гармонiйної функцiї на функцiю Гауса. Ateb-функцiї є узагальненням елементарної тригонометрiї, i, вiдповiдно, володiють бiльшою функцiональнiстю. Фiльтрування Ateb-Gabor дозволяє змiнювати iнтенсивнiсть всього зображення, а також iнтенсивнiсть у певних дiапазонах, i таким чином зробити певнi дiлянки зображення контраснiшими. Ateb-функцiї змiнюються вiд двох рацiональних параметрiв, а це, в свою чергу, дає можливiсть гнучкiше керувати фiльтрацiєю. Дослiджено властивостi Ateb-функцiї, а також можливостi змiни амплiтуди функцiї, частоти коливань на фiльтр Ateb-Габора. Показано розвинення фiльтрацiї на основi двовимiрного Ateb-Габору. Цi залежностi проаналiзованi та зробленi вiдповiднi експерименти. Здiйснено визначення спiввiдношень мiж частотою та шириною фiльтра Ateb-Габора, що дозволило виконувати фiльтри для знаходження країв об'єктiв з рiзними частотами та розмiрами. Розроблено вiдповiдне програмне забезпечення для фiльтрацiї за допомогою python без використання стороннiх бiблiотек, зв'язаних з обробкою зображень. Вiдбитки пальцiв вiдфiльтрованi за допомогою розробленого фiльтра Ateb-Габора. Показано ефективнiсть його використання, яке полягає у бiльшiй кiлькостi варiантiв фiльтрацiї опрацьованих зображень. Результати численних експериментiв демонструють успiшне видiлення країв на зображеннi на основi отриманих в роботi параметрiв фiльтра Ateb-ГабораКлючовi слова: фiльтр Габора, Ateb-функцiї, бiометрична система, обробка зображень, вiдхилення гаусiвського ядра UDC 004.056.5: 655.25

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Section: Construction and Properties Of Ateb-functions For Filtrationmentioning

confidence: 99%

“…This reduces the noise of the image. The Gabor filter based on the Ateb-functions is effective for filtration, since it contains a generalization of trigonometric functions [5,6].…”

Section: Introductionmentioning

confidence: 99%

Detection of regularities in the parameters of the atebgabor method for biometric image filtration

Nazarkevych

Riznyk

Samotyy

et al. 2019

EEJET

Self Cite

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“…As is known [5,6], the theoretical stability is determined on the condition that there are no time limits for unauthorized decryption, and therefore it is an answer to the question that the cryptosystem cannot be split in principle. They can be constructed using a random equally probable encryption key, which key length is not less than the length of the open text.…”

Section: Introductionmentioning

confidence: 99%

Elements of RSA Algorithm and Extra Noising in a Binary Linear-Quadratic Transformations During Encryption and Decryption of Images

Kovalchuk

Lotoshynska

2018

2018 IEEE Second International Conference on Data Stream Mining &Amp; Processing (DSMP)

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“…To solve a number of data processing tasks, such as time series predicting [1,2]; computer network traffic modeling [3]; development of the prevention subsystems for the smart home system [4]; development of information technology for environmental monitoring [5]; medical diagnostics [6]; image processing [7,8,9]; dynamic pricing; there is a critical need for an accurate and fast solution of the approximation task.…”

Section: Introductionmentioning

confidence: 99%

Hybrid generalized additive neuro-fuzzy system and its adaptive learning algorithms

Bodyanskiy

Setlak

Peleshko

et al. 2015

2015 IEEE 8th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applicati

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In this paper, a new approach for increasing the approximation accuracy with the use of computational intelligence tools is described. It is based on the compatible use of the neural-like structure of the Successive Geometric Transformations Model and the inputs polynomial extension. To implement such an extension, second degree Wiener polynomial is used. This combination improves the method accuracy for solving various tasks, such as classification and regression, including short-term and long-term prediction, dynamic pricing, as well as image recognition and image scaling, e-commerce. Due to the use of SGTM neural-like structure, the high speed of the system is maintained in both training and using modes. The simulation of the described approach is carried out on real data, the time results of the neural-like structure work and the accuracy results (MAPE, RMSE, R) are given. A comparison of the operation of the method with existing ones, such as Support vector regression, Classic linear SGTM neural-like structure, Linear regression (using Stochastic Gradient Descent), Random Forest, Multilayer Perceptron, AdaBoost are made. The advantages of the developed approach, in particular with regard to the highest accuracy among existing ones were experimentally established.

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Data protection based on encryption using Ateb-functions

Cited by 15 publications

References 1 publication

Detection of regularities in the parameters of the atebgabor method for biometric image filtration

Detection of regularities in the parameters of the atebgabor method for biometric image filtration

Elements of RSA Algorithm and Extra Noising in a Binary Linear-Quadratic Transformations During Encryption and Decryption of Images

Hybrid generalized additive neuro-fuzzy system and its adaptive learning algorithms

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Data protection based on encryption using Ateb-functions

Cited by 15 publications

References 1 publication

Detection of regularities in the parameters of the ateb­gabor method for biometric image filtration

Detection of regularities in the parameters of the ateb­gabor method for biometric image filtration

Elements of RSA Algorithm and Extra Noising in a Binary Linear-Quadratic Transformations During Encryption and Decryption of Images

Hybrid generalized additive neuro-fuzzy system and its adaptive learning algorithms

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Product

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Detection of regularities in the parameters of the atebgabor method for biometric image filtration

Detection of regularities in the parameters of the atebgabor method for biometric image filtration