This paper is a review of some of the major applications of nite-state transducers in natural-language processing ranging from morphological analysis to nite-state parsing. The analysis and generation of in ected word forms can be performed e ciently by means of lexical transducers. Such transducers can be compiled using an extended regular-expression calculus with restriction and replacement o...

in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

Context. It has been suggested that the ratio of total-to-selective extinction RV in dust in the interstellar medium differs in the Galactic bulge from its value in the local neighborhood. Aims. We attempt to test this suggestion. Methods. The mid-infrared hydrogen lines in 16 Galactic bulge PNe measured by the Spitzer Space Telescope are used to determine the extinction corrected Hβ flux. This...

Area morphology filters are capable of removing objects in an image based solely on the object area. These operators can be effectively used for content based image retrieval. However, the traditional level set based implementations of these operators are impractical because of their time complexities. Here we present a fast implementation of area morphology based on bitplane decomposition of t...

This thesis contributes to the field of mathematical morphology and illustrates how multivariate statistics and machine learning techniques can be exploited to design vector ordering and to include results of morphological operators in the pipeline of multivariate image analysis. In particular, we make use of supervised learning, random projections, tensor representations and conditional transf...

In this paper, we introduce a new class of nonlocal p-Laplacian operators that interpolate between non-local Laplacian and infinity Laplacian. These operators are discrete analogous of the game p-laplacian operators on Euclidean spaces, and involve discrete morphological gradient on graphs. We study the Dirichlet problem associated with the new p-Laplacian equation and prove existence and uniqu...

The application of mathematical morphology to image processing and analysis has initiated a new approach for solving a number of problems in the image enhancement field. So, we have used morphological operators to detect and extract the background of images. Various operators used are erosion, dilation, opening and closing. After the background is extracted, contrast of bad lightning image is i...

In a previous paper, Elorza and Burillo explored the coherence property in fuzzy consequence operators. In this paper we show that fuzzy closing operators of mathematical morphology are always coherent operators. We also show that the coherence property is the key to link the four following families: fuzzy closing morphological operators, fuzzy consequence operators, fuzzy preorders and fuzzy c...

The importance for image processing of a good theory for morphological operators in complete lattices is now well understood. In this paper we introduce inverses and quotients of mappings between complete lattices which are analogous to inverses and quotients of positive numbers. These concepts are then used to create a convenient formalism for dilations and erosions as well as for cleistomorph...

A new model for associative memories is proposed in this paper. The mathematical tools used in this new model, include two binary operators designed specifically for the memories developed here. These operators were arbitrarí/y named as the .first two letters from the Greek alphabet: a and fJ. The new associative memories (afJ)are oftwo kinds and are able to operate in two different modes. The ...