On the metric properties of discrete space-filling curves

C. Gotsman; M. Lindenbaum

doi:10.1109/83.499920

On the metric properties of discrete space-filling curves

C. Gotsman, M. Lindenbaum

Research output: Contribution to journal › Article › peer-review

137 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	794-797
Number of pages	4
Journal	IEEE Transactions on Image Processing
Volume	5
Issue number	5
DOIs	https://doi.org/10.1109/83.499920
State	Published - 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Software
Computer Graphics and Computer-Aided Design

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10.1109/83.499920

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AB - 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.

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On the metric properties of discrete space-filling curves

Abstract

All Science Journal Classification (ASJC) codes

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