The concept of strictness of morphological operators is discussed, and it is shown that the ordinary morphological operators have extreme strictness which leads to sensitivity to noise and digital artifacts. Based on this observation new morphological operators that generalize the ordinary morphological operators, are de ned. The generalized operators have controllable strictness and so excessi...

A fuzzy morphological approach is here presented to retrieve structural properties of images considered as fuzzy sets. The basic concepts of the possibility theory and of the mathematical morphology are brieey illustrated, together with their suggested integration. Some applications to astronomical images are also shown.

A real-time, compact architecture is presented for translation-invariant windowed nonlinear discrete operators represented in computational mathematical morphology. The architecture enables output values to be computed in a fixed number of operations and thus can be pipelined. Memory requirements for an operator are proportional to its basis size. An operator is implemented by three steps: 1) e...

The successful application of univariate morphological operators on several domains, along with the increasing need for processing the plethora of available multivalued images, have been the main motives behind the efforts concentrated on extending the mathematical morphology framework to multivariate data. The few theoretical requirements of this extension, consisting primarily of a ranking sc...

Graphs Mathematical Morphology Computer Vision Image Analysis Filtering Segmentation This survey paper aims at providing a “literary” anthology of mathematical morphology on graphs. It describes in the English language many ideas stemming from a large number of different papers, hence providing a unified view of an active and diverse field of research. c © 2014 Elsevier Ltd. All rights reserved.

The paper proposes soft morphological operators and algorithms to remove noise from binary images. The features of the algorithm are the presence of additional parameters, such as the threshold of filtering and number of iterations, and the ability to remove noise: islands, pin holes, mousebites and spurs in one pass. Application of these algorithms can bring less distortion during operation, e...

T his paper presents an algorithm for automatic neural image analysis in immunostained vertebrate retinas. We present a useful tool for cell quantification avoiding the losst of information of traditional binary techniques in automatic recognition of images. The application is based on the extension of the mathematical morphology to colour images. In qthe paper, we define the basics and more co...

Using mathematical morphology on formulas introduced recently by Bloch and Lang (Proceedings of IPMU’2000) we define two new explanatory relations. Their logical behavior is analyzed. The results show that these natural ways for defining preferred explanations are robust because these relations satisfy almost all postulates of explanatory reasoning introduced by Pino-Pérez and Uzcátegui (Artifi...

Mathematical morphology is an implement for extracting image components that are helpful in the demonstration and explanation of region shape, boundaries, skeletons, and convex hull. Morphological operations are used in pre and post processing for thinning, filtering. Morphology is a development method used to extract image meaningful. In this paper, study the different morphology methods that ...

When magnifying a bitmapped image, we want to increase the number of pixels it covers, allowing for finer details in the image, which are not visible in the original image. Simple interpolation techniques are not suitable because they introduce jagged edges, also called “jaggies”. Earlier we proposed the “mmint” magnification method (for integer scaling factors), which avoids jaggies. It is bas...