Algebraic Structure in Digital Image Processing

Abstract

The mechanism of extracting information from different databases is a fertile field for researchers and an interesting field of application. Due to the increasing reliance on visual data (images and videos), a series of mathematical researches has been published to simplify and abstract digital images. This paper is aimed to provide an algebraic structure to the study and processing of the elements of digital images , which was previously presented, and to reach to the algebra of digital image . It has also presented a set of theorems and mathematical relations, giving an abstract

view of the components of digital images and their processing.