Transformations of digital images on complex discrete tori

Autor:	V. B. Mnukhin
Rok vydání:	2014
Předmět:	Algebra Mellin transform Digital image Discrete sine transform Mellin inversion theorem Two-sided Laplace transform Computer Vision and Pattern Recognition Discrete transform Invariant (mathematics) Topology Computer Graphics and Computer-Aided Design Discrete Hartley transform Mathematics
Zdroj:	Pattern Recognition and Image Analysis. 24:552-560
ISSN:	1555-6212 1054-6618
DOI:	10.1134/s1054661814040142
Popis:	This paper considers an algebraic method of digital images processing, based on the representation of images as functions on "finite complex planes" called complex discrete tori. Properties of such tori are studied; in particular, the concept of complex rotation of a digital image is introduced. The concept of modular logarithm is introduced and used to define a new invertible discrete transform called modular Mellin transform. Next, the modular Fourier-Mellin transform, which is invariant under circular shifts, scaling, and complex rotations of digital images, is defined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f3dc970b35fd8612c2da318395e540a0 https://doi.org/10.1134/s1054661814040142 Zobrazit plný text záznamu Full text from SpringerLink