Space Filling Curve for Data Filling: An Embedded Security Approach

A space-filling curve

In mathematics classes where the natural numbers are studied, several surprising results can be shown about the relative “sizes” of infinite sets, such as the fact the there is a oneto-one mapping between the natural numbers N and the even numbers, showing that they are both countably infinite, with the “same size”. Similar logic also shows that there is a mapping from the natural numbers N ont...

A space-filling curve

In mathematics classes where the natural numbers are studied, several surprising results can be shown about the relative “sizes” of infinite sets, such as the fact the there is a oneto-one mapping between the natural numbers N and the even numbers, showing that they are both countably infinite, with the “same size”. Similar logic also shows that there is a mapping from the natural numbers N ont...

Parallel space-filling curve generation

A key aspect of the parallel partitioners of AMR codes based on meshes consisting of regularly refined patches lies in the choice of a load balancing algorithm. One of the current load balancing methods of choice is to use a space-filling curve. The need to apply load balancing in parallel on possibly hundreds of thousands of processors has led to the development of an algorithm which generates...

Variable Granularity Space Filling Curve for Indexing Multidimensional Data

Efficiently accessing multidimensional data is a challenge for building modern database applications that involve many folds of data such as temporal, spatial, data warehousing, bio-informatics, etc. This problem stems from the fact that multidimensional data have no given order that preserves proximity. The majority of the existing solutions to this problem cannot be easily integrated into the...

Alternative Algorithm for Hilbert's Space-Filling Curve