Mathematical Morphology and the Heart Signals

Mathematical Morphology

Mathematical Morphology and Poset Geometry

The aim of this paper is to characterize morphological convex geometries (resp., antimatroids). We define these two structures by using closure operators, and kernel operators. We show that these convex geometries are equivalent to poset geometries. 2000 Mathematics Subject Classification. 37F20, 06A07.

Diagrammatic Reasoning and Mathematical Morphology

Smart graphics can be beneficial beyond the level of the user interface. A synergistic combination of artificial intelligence methods and image processing techniques can be useful in permitting intelligent interaction with graphical representations at the processing level as well. An example of such a combination is explored in the context of a diagrammatic information system.

Mathematical morphology and texture analysis

This talk presents our researches on the application of mathematical morphology, which is a mathematical framework of quatitative image manipulations, to the characterization and manipulation of textures. A texture is considered as a repetitive arrangement of homothetic magnifications of a small object called primitive. The shape and arrangement of the primitive are estimated by a method based ...

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...