Mathematical morphology and poset geometry

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.

Digital Geometry and Mathematical Morphology Lecture

Contents: 1. Introduction 1.1. Why digital geometry? 1.2. Why mathematical morphology? 2. Morphological operations on sets and functions 2.

Digital Geometry and Mathematical Morphology Lecture Notes , Spring Semester 2004

Manifold Shape: from Diierential Geometry to Mathematical Morphology ?

Much progress has been made in extending Euclidean mathematical morphology to more complex structures such as complete lattices or spaces with a non-commutative symmetry group. Such generalizations are important for practical situations such as translation and rotation invariant pattern recognition or shape description of patterns on spherical surfaces. Also in computer vision much use is made ...

Optimization of morphology and geometry of encapsulated Hypophthalmichthys molitrix oil

  In the present study, the effect of stirring speed and the type of cross linking agent on the size and formation of microencapsulated Silver carp (Hypophthalmichthys molitrix) oil were investigated. The gelatin/gum Arabic was used for encapsulating and the capsules were prepared by complex coacervation. Microcapsules were analyzed by optical microscopy technique and particle size analyzer. Re...