During past few years, brain tumor segmentation in magnetic resonance imaging (MRI) has become an emergent research area in the field of medical imaging system. Brain tumor detection helps in finding the exact size and location of tumor. An efficient algorithm is proposed in this paper for tumor detection based on segmentation and morphological operators. Firstly quality of scanned image is enh...

In two-level training of binary morphological operators, several operators based on different subwindows of a larger window are designed in the first level of training, and then their outcomes are combined in a second level of training. It has been shown that such training scheme yields two-level operators with better performance than the ones designed directly on the large window. A difficult ...

Direct volume rendering is a common means of visualizing three-dimensional data nowadays. It is, however, still a very time consuming process to create informative and visual appealing images. Semi-automatic volume analysis procedures as morphological operators are a promising approach to improve the overall visualization cycle. However, these operators need quite some time for computation, red...

Standard formulation of morphological operators is translation invariant in the space and in the intensity: the same processing is considered for each point of the image. A current challenging topic in mathematical morphology is the construction of adaptive operators. In previous works, the adaptive operators are based either on spatially variable neighbourhoods according to the local regularit...

Studying discrete space representations has recently lead to the development of novel morphological operators. To date, there has been no study evaluating the performances of those novel operators with respect to a specific application. This article compares the capability of several morphological operators, both old and new, to improve OCR performance when used as preprocessing filters. We des...

This paper presents a tree-based framework for producing self-dual morphological operators, based on a tree-representation complete inf-semilattice (CISL). The idea is to use a self-dual tree transform to map a given image into the above CISL, perform one or more morphological operations there, and map the result back to the image domain using the inverse tree transform. We also present a parti...

A basic paradigm in mathematical morphology is the construction of set operators by concatenations of dilations and erosions via the operations of composition, union, intersection and complementation. Since its introduction, in the 1960s by Matheron and Serra, this paradigm has been applied on image analysis for designing set operators, that were called morphological operators. Classically, mor...

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

Morphological operators are generalized to lattices as adjunction pairs Serra, 1984; Ronse, 1990; Heijmans and Ronse, 1990; Heijmans, 1994 . In particular, morphology for set lattices is applied to analyze logics through Kripke semantics Bloch, 2002; Fujio and Bloch, 2004; Fujio, 2006 . For example, a pair of morphological operators as an adjunction gives rise to a temporalization of normal mod...

The aim of this study is to detect masses in mammograms through pipelining sequences of visualization operators. Such sequences act as morphological filtering operators for identifying objects of interest. This is done using series of rendering operators including edge detection, smoothing, filling small holes, coloring various densities, joining broken boundaries and eliminating small projecti...