The topographic map of a gray-level image, also called tree of shapes, provides a high-level
hierarchical representation of the image contents. This representation, invariant to contrast …

Depth notions in location have generated tremendous attention in the literature. In fact, data
depth and its applications remain as one of the most active research topics in statistics over …

Nowadays, the representation and the treatment of color images are still open problems.
Mathematical morphology is the natural area for a rigorous formulation of many problems in …

By remarkably reducing real fitness evaluations, surrogate-assisted evolutionary algorithms
(SAEAs), especially hierarchical SAEAs, have been shown to be effective in solving …

It is difficult to extend a grayscale morphological approach to color images because total
vector ordering is required for color pixels. To address this issue, we developed a kind of …

The generalization of mathematical morphology to multivariate vector spaces is addressed
in this paper. The proposed approach is fully unsupervised and consists in learning a …

Mathematical morphology offers popular image processing tools, successfully used for
binary and grayscale images. Recently, its extension to color images has become of interest …

Responding to the challenge of detecting unusual radar targets in a well identified
environment, innovative anomaly and novelty detection methods keep emerging in the …

Connective segmentation based on the definition of a dissimilarity measure on pairs of
adjacent pixels is an appealing framework to develop new hierarchical segmentation …

This chapter illustrates the suitability of recent multivariate ordering approaches to
morphological analysis of colour and multispectral images working on their vector …