Space-Filling Curves
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Moreover, Smallworld technology is a key platform for GE Energy’s development of their software portfolio to support an “intelligent grid”, which consists of an information architecture and infrastructure that enables continuous automated monitoring of a utility’s assets. The Smallworld Office provides the underlying spatial asset management system, enterprise business intelligence, asset optimization, and resource optimization tools, and also serves as the data integration portal between other grid monitoring and automation applications.
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Recommended Reading 1. Chance, A., Newell, R.G., Theriault, D.G.: An Object-Oriented GIS – Issues and Solutions, EGIS ’90 Conference Proceedings, Amsterdam, April (1990) 2. Easterfield, M.E., Newell, R.G., Theriault, D.G.: Version Management in GIS Applications and Techniques, EGIS ’90 Conference Proceedings, Amsterdam, April (1990) 3. Ceri, S., Pelegatti, G.: Distributed Databases: Principles and Systems, McGraw-Hill (1984) 4. Savage, J.F.: Anticipating the Future of AM/FM Systems: The Benefits of Distributed Relational Technology. Proceedings of Executive Management Symposium, AM/FM International, Keystone, Colorado, August (1991) 5. GE Energy: Smallworld Core Spatial Technology. GE Energy Web Site, http://www.gepower.com/prod_serv/products/gis_ software/en/core_spatial.htm (2007)
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Space-Filling Curves M OHAMED F. M OKBEL 1, WALID G. A REF2 Department of Computer Science and Engineering, University of Minnesota, Minneapolis, MN, USA 2 Department of Computer Science, Purdue University, Indianapolis, IN, USA 1
Synonyms Distance-preserving mapping; Locality-preserving mapping; Multi-dimensional mapping; Linearization Definition A space-filling curve (SFC) is a way of mapping a multi-dimensional space into a one-dimensional space. It acts like a thread that passes through every cell element (or pixel) in the multi-dimensional space so that every cell is visited exactly once. Thus, a space-filling curve imposes a linear order of points in the multi-dimensional space. A D-dimensional space-filling curve in a space of N cells (pixels) of each dimension consists of N D − 1 segments where each segment connects two consecutive D-dimensional points. There are numerous kinds of space-
Space-Filling Curves
filling curves (e. g., Hilbert, Peano, and Gray). The difference between such curves is in their way of mapping to the one-dimensi
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