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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2018 Volume 302, Pages 234–267 (Mi tm3937)
This article is cited in 2 papers

$L_\infty $-locality of three-dimensional Peano curves

A. A. Korneev, E. V. Shchepin

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: A theory and corresponding algorithms are developed for fast and accurate evaluation of the $L_\infty $-locality (i.e., the maximum cube-to-line ratio in the maximum metric) for polyfractal three-dimensional Peano curves.

Keywords: maximum metric, three-dimensional Peano curves, polyfractal curves, dyadic curves, cubically decomposable curves, cube-to-linear ratio.

UDC: 519.6

Received: March 15, 2018

DOI: 10.1134/S0371968518030111


 English version: Proceedings of the Steklov Institute of Mathematics, 2018, 302, 217–249

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