Application of Delaunay Triangulation and Catalan Objects in Steganography

Faruk Selimović, Predrag Stanimirović, Muzafer Saračević and Predrag Krtolica
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Faruk Selimović: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18106 Niš, Serbia
Predrag Stanimirović: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18106 Niš, Serbia
Muzafer Saračević: Department of Computer Science, University of Novi Pazar, Dimitrija Tucovića bb, 36300 Novi Pazar, Serbia
Predrag Krtolica: Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18106 Niš, Serbia

Mathematics, 2021, vol. 9, issue 11, 1-15

Abstract: This paper presents a new method of steganography based on a combination of Catalan objects and Voronoi–Delaunay triangulation. Two segments are described within the proposed method. The first segment describes the process of embedding data and generating a complex stego key. The second segment explains the extraction of a hidden message. The main goal of this paper is to transfer a message via the Internet (or some other medium) using an image so that the image remains absolutely unchanged. In this way, we prevented the potential attacker from noticing some secret message hidden in that picture. Additionally, the complex stego key consists of three completely different parts (the image, the encrypted Delaunay triangulation, and the array R k in Base64 code), which are very difficult to relate with each other. Finally, a few security analyses of the proposed method are conducted, as well as the corresponding steganalysis.

Keywords: steganography; steganalysis; Catalan objects; Voronoi–Delaunay triangulation; hiding data (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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