Image Compression and Protection Systems Based on Atomic Functions

Q3 Computer Science

International Journal of Computing Pub Date : 2023-10-01 DOI:10.47839/ijc.22.3.3222

Viktor O. Makarichev, Vladimir V. Lukin, Vyacheslav S. Kharchenko

{"title":"Image Compression and Protection Systems Based on Atomic Functions","authors":"Viktor O. Makarichev, Vladimir V. Lukin, Vyacheslav S. Kharchenko","doi":"10.47839/ijc.22.3.3222","DOIUrl":null,"url":null,"abstract":"Digital images are a particular type of data. They have numerous applications. Taking into account current challenges and trends, image compression and protection have to be ensured. Data format, which provides fast analysis of the image compressed, is needed. In order to satisfy a combination of these requirements, an appropriate information system should be developed. In this paper, we design such a system based on atomic functions (AF) that are solutions of special functional differential equations and, in terms of function theory, are as good constructive tools as trigonometric polynomials. AF-based image processing system (AFIPS), which satisfies the requirements considered, is developed. A core of this system is discrete atomic transform (DAT). Data protection feature of AFIPS is provided by the possibility to vary a structure of the procedure DAT. Constructive approximation properties of AF ensure high lossy and lossless image compression, as well as good image representation by DAT-coefficients. Software implementation of AFIPS is investigated. The results of test data processing are given.","PeriodicalId":37669,"journal":{"name":"International Journal of Computing","volume":"164 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47839/ijc.22.3.3222","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}

引用次数: 0

Abstract

Digital images are a particular type of data. They have numerous applications. Taking into account current challenges and trends, image compression and protection have to be ensured. Data format, which provides fast analysis of the image compressed, is needed. In order to satisfy a combination of these requirements, an appropriate information system should be developed. In this paper, we design such a system based on atomic functions (AF) that are solutions of special functional differential equations and, in terms of function theory, are as good constructive tools as trigonometric polynomials. AF-based image processing system (AFIPS), which satisfies the requirements considered, is developed. A core of this system is discrete atomic transform (DAT). Data protection feature of AFIPS is provided by the possibility to vary a structure of the procedure DAT. Constructive approximation properties of AF ensure high lossy and lossless image compression, as well as good image representation by DAT-coefficients. Software implementation of AFIPS is investigated. The results of test data processing are given.

查看原文本刊更多论文

基于原子函数的图像压缩与保护系统

数字图像是一种特殊类型的数据。它们有许多应用。考虑到当前的挑战和趋势，必须确保图像压缩和保护。需要能够对压缩后的图像进行快速分析的数据格式。为了满足这些要求的组合，应该开发一个适当的信息系统。在本文中，我们设计了这样一个基于原子函数(AF)的系统，原子函数是特殊泛函微分方程的解，在函数理论中，它与三角多项式一样是很好的构造工具。开发了满足上述要求的基于af的图像处理系统(AFIPS)。该系统的核心是离散原子变换(DAT)。AFIPS的数据保护功能是通过改变过程DAT结构的可能性提供的。自动对焦的构造近似特性保证了高有损和无损图像压缩，以及dat系数的良好图像表示。研究了AFIPS的软件实现。给出了试验数据处理的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

International Journal of Computing Computer Science-Computer Science (miscellaneous)

CiteScore

2.20

自引率

0.00%

发文量

期刊介绍： The International Journal of Computing Journal was established in 2002 on the base of Branch Research Laboratory for Automated Systems and Networks, since 2005 it’s renamed as Research Institute of Intelligent Computer Systems. A goal of the Journal is to publish papers with the novel results in Computing Science and Computer Engineering and Information Technologies and Software Engineering and Information Systems within the Journal topics. The official language of the Journal is English; also papers abstracts in both Ukrainian and Russian languages are published there. The issues of the Journal are published quarterly. The Editorial Board consists of about 30 recognized worldwide scientists.