Active contours, or snakes, are computer-generated curves that move within images to find out salient image structures like object boundaries. Energy based formulations using a level set approach have been successfully used to model the snake evolution. The Euler-Lagrange equation associated to such energies yields to partial differential equations (PDE) which are usually solved using level set...

Scene text is an important feature to be extracted, especially in vision-based mobile robot navigation as many potential landmarks such as nameplates and information signs contain text. In this paper, a novel two-step text localization method for Indoor Mobile Robot Navigation is introduced. This method is based on morphological operators and machine learning techniques and can be used in real ...

Several logical operators are defined as dual pairs, in different types of logics. Such dual pairs of operators also occur in other algebraic theories, such as mathematical morphology. Based on this observation, this paper proposes to define, at the abstract level of institutions, a pair of abstract dual and logical operators as morphological erosion and dilation. Standard quantifiers and modal...

In a previous paper [10] we explored the notion of coherent fuzzy consequence operator. It is well-known that the operator induced by a fuzzy preorder through Zadeh’s compositional rule is always a coherent fuzzy consequence operator. It is also known that the relation induced by a fuzzy consequence operator is a fuzzy preorder if such operator is coherent [7]. Fuzzy closing operators of mathem...

The main task of traffic monitoring applications is to identify (and track) moving targets. Thresholding an image resulting from a background difference operation is a common way to detect moving pixels and represents the starting point for all of the subsequent operations. Therefore, a wrong choice for the threshold could afflict final results. The morphological operations utilized within most...

Classical morphology is built up in such a way that all operators occur in pairs, e.g., dilation and erosion, opening and closing, etc. This phenomenon, which is a straightforward consequence of the duality principle, often prohibits the construction of tools that treat foreground and background of signals in exactly the same way. In this paper we discuss an alternative framework for morphologi...

Several libraries dedicated to mathematical morphology exist. But they lack genericity, that is to say, the ability for operators to accept input of different natures —2D binary images, graphs enclosing floating values, etc. We describe solutions which are integrated in Olena, a library providing morphological operators. We demonstrate with some examples that translating mathematical formulas a...

The extension of mathematical morphology to color and more generally to multivariate image data is still an open problem. The definition of multivariate morphological operators requires the introduction of a complete lattice structure on the image data, hence vectorial extrema computation methods are necessary. In this paper, we propose a lexicographical approach with this end, based on the pri...

Connected morphological operators act o n the level of the f la t zones of a n image, i.e., the connected regions where the grey-level i s constant. For binary i m ages, the f la t zones are the foreground and background grains (connected components) of the image. T h e f lat zones constitute a partition of the underlying space. A connected operator is a n operator that makes this part i t ion ...

The extension of mathematical morphology to color and more generally to multivariate image data is still an open problem. The definition of multivariate morphological operators requires the introduction of a complete lattice structure on the image data, hence vectorial extrema computation methods are necessary. In this paper, we propose a lexicographical approach with this end, based on the pri...