On the metric properties of discrete space-filling curves.
A space-filling curve is a linear traversal of a discrete finite multidimensional space. In order for this traversal to be useful in many applications, the curve should preserve "locality". We quantify "locality" and bound the locality of multidimensional space-filling curves. Classic Hilbert space-filling curves come close to achieving optimal locality.
Gotsman
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C
Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa.
Lindenbaum
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M