Fractional Derivatives Application to Image Fusion Problems

• Published in: Sensors (Basel, Switzerland) Vol. 22; no. 3; p. 1049
• Main Authors: Motłoch, Szymon, Sarwas, Grzegorz, Dzieliński, Andrzej
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 28-01-2022; MDPI
• Subjects: Algorithms; Approximation; Calculus; Computer vision; Control theory; Digital imaging; Fractional calculus; image fusion; Image processing; Methods; image processing; image fusion; fractional calculus
• ISSN: 1424-8220; 1424-8220
• DOI: 10.3390/s22031049

In this paper, an analysis of the method that uses a fractional order calculus to multispectral images fusion is presented. We analyze some correct basic definitions of the fractional order derivatives that are used in the image processing context. Several methods of determining fractional derivatives of digital images are tested, and the influence of fractional order change on the quality of fusion is presented. Results achieved are compared with the results obtained for methods where the integer order derivatives were used.