This paper is the first in a sequence of papers describing an algebraic structure for image
processing that has become known as the AFATL Standard Image Algebra. This algebra …

The basic theory and applications of a set-theoretic approach to image analysis called
mathematical morphology are reviewed. The goals are to show how the concepts of …

A unifying theory for many concepts and operations encountered in or related to
morphological image and signal analysis is presented. The unification requires a set …

Image processing technologies such as image enhancement generally utilize linear
arithmetic operations to manipulate images. Recently, Jourlin and Pinoli successfully used …

The synergistic use of multiple sensors by machines and systems is a major factor in
enabling some measure of intelligence to be incorporated into their overall operation so that …

A tutorial introduction to the subject of multisensor integration and fusion is presented. The
role of multisensor integration and fusion in the operation of intelligent systems is defined in …

This paper explores some aspects of the algebraic theory of mathematical morphology from
the viewpoints of minimax algebra and translation-invariant systems and extends them to a …

Publisher Summary Image algebra is a mathematical theory concerned with the
transformation and analysis of images. This chapter focuses on the analysis and …

Logarithmic Image Processing (LIP) replaces the linear arithmetic (addition, subtraction, and
multiplication) with a non-linear one, which more accurately characterizes the nonlinearity of …

In this paper we show that the mathematical theory known as image algebra not only
incorporates the mathematics underlying artificial neural networks, but also provides for …