On the metric properties of discrete space-filling curves

Optimizing image steganography by combining the GA and ICA

In this study, a novel approach which uses combination of steganography and cryptography for hiding information into digital images as host media is proposed. In the process, secret data is first encrypted using the mono-alphabetic substitution cipher method and then the encrypted secret data is embedded inside an image using an algorithm which combines the random patterns based on Space Fillin...

A Optimality of Clustering Properties of Space Filling Curves

Space filling curves have been used in the design of data structures for multidimensional data since many decades. A fundamental quality metric of a space filling curve is its “clustering number” with respect to a class of queries, which is the average number of contiguous segments on the space filling curve that a query region can be partitioned into. We present a characterization of the clust...

Fixed points of $(psi,varphi)_{Omega}$-contractive mappings in ordered p-metric spaces

In this paper, we introduce the notion of an extended metric space ($p$-metric space) as a new generalization of the concept of $b$-metric space. Also, we present the concept of $(psi ,varphi )_{Omega}$-contractive mappings and we establish some fixed point results for this class of mappings in ordered complete $p$-metric spaces. Our results generalize several well...

Norm-Based Locality Measures of Two-Dimensional Hilbert Curves

A discrete space-filling curve provides a 1-dimensional indexing or traversal of a multi-dimensional grid space. Applications of space-filling curves include multi-dimensional indexing methods, parallel computing, and image compression. Common goodness-measures for the applicability of space-filling curve families are locality and clustering. Locality reflects proximity preservation that close-...

On Some Properties of Analytic Spaces Connected with Bergman Metric Ball