ABSTRACT

The correlation dimension presently is the most popular measure of dimension. It's much like the information dimension but is slightly more complex. As mentioned, the information dimension usually is based on spreading a grid of uniformly sized compartments over the trajectory like a quilt. That's like moving the measuring device over the object by equal, incremental lengths. Analysis for the correlation dimension could also be done with that approach. Instead, however, the usual technique is to center a compartment on each successive datum point in tum, regardless of how many points a region has and how far apart the points may be.