Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves-Reference-Cited by-同舟云学术

Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves

Published:2023-09-29 Issue:10 Volume:9 Page:206
ISSN:2313-433X
Container-title:Journal of Imaging
language:en
Short-container-title:J. Imaging

Author:

Yerimbetova Aigerim¹²^ORCID,Daiyrbayeva Elmira¹²³^ORCID,Merzlyakova Ekaterina⁴^ORCID,Fionov Andrey⁴,Baisholan Nazerke⁵^ORCID,Turdalyuly Mussa²,Mukazhanov Nurzhan²,Turganbayev Almas¹

Affiliation:

1. Institute of Information and Computational Technologies, Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan, Almaty 050010, Kazakhstan

2. Institute of Automation and Information Technologies, Satbayev University, Almaty 050013, Kazakhstan

3. Institute of Automation and Telecommunications, Academy of Logistics and Transport, Almaty 050012, Kazakhstan

4. Department of Applied Mathematics and Cybernetics, Siberian State University of Telecommunications and Information Sciences, Novosibirsk 630102, Russia

5. Department of Information Systems, Al-Farabi Kazakh National University, Almaty 050023, Kazakhstan

Abstract

The article is devoted to the introduction of digital watermarks, which formthe basis for copyright protection systems. Methods in this area are aimed at embedding hidden markers that are resistant to various container transformations. This paper proposes a method for embedding a digital watermark into bitmap images using Lagrange interpolation and the Bezier curve formula for five points, called Lagrange interpolation along the Bezier curve 5 (LIBC5). As a means of steganalysis, the RS method was used, which uses a sensitive method of double statistics obtained on the basis of spatial correlations in images. The output value of the RS analysis is the estimated length of the message in the image under study. The stability of the developed LIBC5 method to the detection of message transmission by the RS method has been experimentally determined. The developed method proved to be resistant to RS analysis. A study of the LIBC5 method showed an improvement in quilting resistance compared to that of the INMI image embedding method, which also uses Lagrange interpolation. Thus, the LIBC5 stegosystem can be successfully used to protect confidential data and copyrights.

Funder

Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Computer Vision and Pattern Recognition,Radiology, Nuclear Medicine and imaging

Link

https://www.mdpi.com/2313-433X/9/10/206/pdf

Reference32 articles.

1. Nechta, I.V., and Fionov, A.N. (2010, January 22–25). Digital watermarks in C\C++ programs. Proceedings of the XI International Scientific and Practical Conference “Information security”, Taganrog, Russia.

2. Searching for optimal classifier using a combination of cluster ensemble and kernel method;Berikov;CEUR Workshop Proc.,2018

3. A novel matrix multiplication based LSB substitution mechanism for data security and authentication;Rinki;J. King Saud. Univ.-Comput. Inf. Sci.,2022

4. Digital Steganography and Digital Watermarks;Kudzh;Slav. Forum,2022

5. Digital steganography and digital watermarks;Korzhik;SLAVIC FORUM,2022