Characterization and Statistics of Distance-Based Elementary Morphological Operators

Author(s)

do Nascimento, Arlyson Alves ; Valle, Marcos Eduardo ; Burgeth, B ; Kleefeld, A ; Naegel, B ; Passat, N ; Perret, B

• Document type: Journal article
• Source: MATHEMATICAL MORPHOLOGY AND ITS APPLICATIONS TO SIGNAL AND IMAGE PROCESSING, ISMM 2019; v. 11564, p. 13-pg., 2019-01-01.

Abstract

Mathematical morphology (MM) is a powerful theory widely used for image processing and analysis. Distance-based morphological operators are parametrized by a reference value so that a dilation enlarges regions of an image similar to the reference while an erosion shrinks them. In this paper, we first characterize distance-based erosions, dilations, and gradients as a function of the reference. Then, assuming the reference is a sample from a random variable, we use a descriptive statistic to obtain relevant information on a certain distance-based morphological operator. We validate our approach by presenting a successful application of some statistics of distance-based morphological operators for edge detection in color images. (AU)

• FAPESP's process: 19/02278-2 - Mathematical Morphology and Morphological Neural Networks for Multivalued Data
• Grantee: Marcos Eduardo Ribeiro Do Valle Mesquita
• Support Opportunities: Regular Research Grants