This work proposes the use of machine learning methods applied to the construction of a gray level adaptive hitor-miss morphological operator. Because they are adaptive and translation invariant, it is expected that these operators can be better utilized for the process of pattern recognition. In a first approach, the investigated adaptive model is inspired on the Vector Quantization Unsupervis...

The aim of image Augmentation is to improve the interpretability or perception of information in images for human viewers, or to provide `better' input for other automated image processing techniques. The aim is to improve the visual appearance of an image, or to provide a “better transform representation for future automated image processing”. This paper is about a review of histogram techniqu...

Junior Barrera Departamento de Ciência da Computação Instituto de Matemática e Estatı́stica— Universidade de São Paulo Rua do Matão, 1010 05508-900 São Paulo, Brazil E-mail: [email protected] Abstract. Iterating (composing) a sequence of window operators results in an operator defined over the window determined by the dilation of the component windows. Although a statistically designed iterative ope...

Edges form the outline of an object. An edge is the boundary between an object and the background, and indicates the boundary between overlapping objects also. So, by identifying edges in an image accurately, all the objects can be located and basic properties such as area, perimeter and shape can be measured. Therefore, edge detection is used to find the discontinuities in surface orientation,...

Mathematical Morphology is a theory that studies the decomposition of lattice operators in terms of some families of elementary lattice operators. When the lattices considered have a sup-generating family, the elementary operators can be characterized by structuring functions. The representation of structuring functions by neighborhood graphs is a powerful model for the construction of image op...

Images encoding angular information are common in image analysis. Examples include the hue band of color images, or images encoding directional texture information. Applying mathematical morphology to image data distributed on the unit circle is not immediately possible, as the unit circle is not a lattice. Three approaches to solving this problem are presented. First, difference-based operator...

In this paper we use concepts from the lattice-based theory of morphological operators and fuzzy sets to develop generalized lattice image operators that are nonlinear convolutions that can be expressed as supremum (resp. infimum) of fuzzy intersection (resp. union) norms. Our emphasis and differences with many previous works is the construction of pairs of fuzzy dilation (sup of fuzzy intersec...

First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Luckasiewicz ́s one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout ́s manner) that satisfies the axioms of Divyendu and Dogherty. Second,...

Adaptive mathematical morphology has recently become a popular topic in the mathematical morphology community. In particular, the construction of adaptive structuring elements that adjust their size and shape to the local image structures have increased a lot of attention in recent years. Apart from that, there is a growing interest for representation of digital objects as graph structures. Thi...