MF Mokbel, WG Aref

inproceedings

A space-filling curve is a way of mapping the multi-dimensional space into the one-dimensional space. It acts like a thread that passes through every cell element (or pixel) in the N-dimensional space so that every cell is visited at least once. Thus, a space-filling curve imposes a linear order of the cells in the N-dimensional space. There are numerous kinds of space-filling curves. The difference between such curves is in their way of mapping to the one-dimensional space. Selecting the appropriate curve for any application requires a brief knowledge of the mapping scheme provided by each space-filling curve. Irregularity is proposed as a quantitative measure of the quality of the mapping of the space-filling curve. Closed formulas are developed to compute the irregularity for any general dimension D with N points in each dimension for different space-filling curves.A comparative study of different space-filling curves with respect to irregularity is conducted and results are presented and discussed. The applicability of this research is the area of multimedia databases is illustrated with a discussion of the problems that arise.

PDF

2001

Proceedings of the tenth international conference on Information and knowledge management

Proceedings of the tenth international conference on Information and knowledge management

Aref

512-519

ACM

2001-01-01