<title>Structural description of images using image algebra</title>

Abstract

A common perception among researchers who are only superficially acquainted with image algebra is that although convolutions and morphological operations are easily expressible in the language of image algebra, higher level image operations, such as structural descriptions of scene content, are outside the realm of image algebra. The purpose of this paper is to dispel this perception by providing examples of structural descriptions of images using image algebra. Specifically, we present structural descriptions such as adjacency and inclusion relationships between regions of regionally-segmented images and quadtree representation of binary images, and show how these can be concisely expressed in image algebra.