Elliptic Quaternion Matrices: A MATLAB Toolbox and Applications for Image Processing

Autor:	Hidayet Hüda Kösal, Emre Kişi, Mahmut Akyiğit, Beyza Çelik
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	elliptic quaternion matrices MATLAB toolbox optimal p-value singular value decomposition least minimum error image processing Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 11, p 771 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13110771
Popis:	In this study, we developed a MATLAB 2024a toolbox that performs advanced algebraic calculations in the algebra of elliptic numbers and elliptic quaternions. Additionally, we introduce color image processing methods, such as principal component analysis, image compression, image restoration, and watermarking, based on singular-value decomposition theory for elliptic quaternion matrices; we added these to the newly developed toolbox. The experimental results demonstrate that elliptic quaternionic methods yield better image analysis and processing performance compared to other hypercomplex number-based methods.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/30980bf20ad24ff2bd9a00de0fca72af Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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