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 …

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 …

This document is an initial draft of the develo** theory of image algebra. The primary
objective of this treatise is to provide the reader with an introduction to the theory and …

Performing morphological operations such as dilation and erosion of binary images, using
very long line structuring elements is computationally expensive when performed brute-force …

Decomposition of templates is a useful technique for increasing the computational efficiency
of image processing operations, either by decreasing the number of operations required or …

Image algebra has been implemented in a variety of programming languages designed
specifically to support the development of image processing and computer vision programs …

Mathematical morphology has become an important tool for machine vision since the
influential work by Serra (1982). It is a branch of image analysis based on set-theoretic …

Image Algebra Ada (IAA) is a superset of the Ada programming language designed to
support use of the Air Force Armament Laboratory's image algebra in the development of …

This paper describes a parallel real-time stereo segmentation algorithm and its performance
on the Thinking Machines Corporation''s Connection Machine. Following Y. Yeshuran and IL …