Deterministic mathematical morphology for CAD/CAM

Mathematical Morphology

Architecture for computational mathematical morphology

ABSTRACT We present a real-time, compact architecture for translation-invariant windowed nonlinear discrete filters represented in computational mathematical morphology (CMM). The architecture enables filter values to be computed in a deterministic number of operations and thus can be pipelined. Memory requirements are proportional to the size of the filter basis. A filter is implemented by thr...

Foundation for Neutrosophic Mathematical Morphology

The aim of this paper is to introduce a new approach to Mathematical Morphology based on neutrosophic set theory. Basic definitions for neutrosophic morphological operations are extracted and a study of its algebraic properties is presented. In our work we demonstrate that neutrosophic morphological operations inherit properties and restrictions of Fuzzy Mathematical Morphology.

Aspects of Mathematical Morphology

In this paper we review the basic concepts of integral-geometry-based morphological image analysis. This approach yields an objective, numerical characterization of twoand threedimensional patterns in terms of geometrical and topological descriptors called Minkowski functionals. We review its mathematical foundation and show that it is easy to put the theory into practice by presenting simple c...

Mathematical Morphology: Basic Principles

This paper is intended as a rst introduction into mathematical morphology, and does not require any preliminary knowledge in this eld. The paper discusses the basic morphological operators, such as dilations, erosions, openings, closings, rank operators, skeletons, and reconstruction operators. Furthermore, it introduces the complete lattice framework for morphology. The paper concludes with an...