This paper describes an ongoing implementation of an open source library dealing with parametric representation of dynamic geometry constructions. We show how some current issues i...
In this paper we introduce novel geometric concepts, namely category regions, in the original framework of Fuzzy-ART (FA) and FuzzyARTMAP (FAM). The definitions of these regions a...
Georgios C. Anagnostopoulos, Michael Georgiopoulos
Abstract--An image can be seen as an element of a vector space so that it can be expressed in terms of a series expansion of any non necessarily orthogonal base of this space. This...
We investigate algebraic, logical, and geometric properties of concepts recognized by various classes of probabilistic classifiers. For this we introduce a natural hierarchy of pr...
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...