Locality and bounding-box quality of two-dimensional space-filling curves
Space-filling curves can be used to organise points in the plane into bounding-box hierarchies (such as R-trees). We develop measures of the bounding-box quality of space-filling curves that express how effective different space-filling curves are for this purpose. We give general lower bounds on th...
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| Vydáno v: | Computational geometry : theory and applications Ročník 43; číslo 2; s. 131 - 147 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.02.2010
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| Témata: | |
| ISSN: | 0925-7721 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | Space-filling curves can be used to organise points in the plane into bounding-box hierarchies (such as R-trees). We develop measures of the
bounding-box quality of space-filling curves that express how effective different space-filling curves are for this purpose. We give general lower bounds on the bounding-box quality measures and on locality according to Gotsman and Lindenbaum for a large class of space-filling curves. We describe a generic algorithm to approximate these and similar quality measures for any given curve. Using our algorithm we find good approximations of the locality and the bounding-box quality of several known and new space-filling curves. Surprisingly, some curves with relatively bad locality by Gotsman and Lindenbaum's measure, have good bounding-box quality, while the curve with the best-known locality has relatively bad bounding-box quality. |
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| ISSN: | 0925-7721 |
| DOI: | 10.1016/j.comgeo.2009.06.002 |