Semi-proximity continuous functions in digital images

Semi-proximity continuous functions in digital images

Starting with the intuitive concept o r nearness" as a binar,, relation, semi-proximity spaces (sp-spaces) are defined. The restrictions on semi-proximity spaces are weaker than on topological proximity spaces. Thus, semi-proximity spaces generalize classical topological spaces. Moreover, it is possible to describe all digital pictures used in computer vision and computer graphics as non-trivia...

Generalized Semi Continuous Functions in Topological Spaces

In this paper, we introduce new class of functions called τ∗-Generalized Semi Continuous functions in topological spaces and study some of its properties and its relationship with some existing functions. Mathematics Subject Classification: 54A05

Topology of Digital Images - Visual Pattern Discovery in Proximity Spaces

Reading a book is also kind of better solution when you have no enough money or time to get your own adventure. This is one of the reasons we show the topology of digital images visual pattern discovery in proximity spaces intelligent systems reference library as your friend in spending the time. For more representative collections, this book not only offers it's strategically book resource. It...

A Theorem on Semi-Continuous Functions

Completion of Lattices of Semi-continuous Functions

If U and V are topologies on an abstract set X, then the triple (X, U, V) is a bitopological space. Using the theorem of Priestley on the representation of distributive lattices, results of Dilworth concerning the normal completion of the lattice of bounded, continuous, realvalued functions on a topological space are extended to include the lattice of bounded, semi-continuous, real-valued funct...