Cyclic space-filling curves and their clustering property

Igor V. Netay

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arXiv · 2006.10286

Cyclic space-filling curves and their clustering property

Igor V. Netay

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Abstract

In this paper we introduce an algorithm of construction of cyclic space-filling curves. One particular construction provides a family of space-filling curves in all dimensions (H-curves). They are compared here with the Hilbert curve in the sense of clustering properties, and it turns out that the constructed curve is very close and sometimes a bit better than the Hilbert curve. At the same time, its construction is more simple and evaluation is significantly faster.

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Igor V. Netay. 2020-06-18. Cyclic space-filling curves and their clustering property. https://arxiv.org/abs/2006.10286

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