Pasting gauges. II: Balls in pasted halfplanes
type: Item
instance of: scholarly article
title: Pasting gauges. II: Balls in pasted halfplanes
zbMATH Open document ID: 1411.52010
author: Frank Plastria
published in: Discrete Applied Mathematics
publication date: 2019-02-21T00:00:00Z
review text: In the paper under review, the author continues his studies (mostly) on the planar metric obtained when pasting two halfplanes with different gauges along their separating line. A large part of the work is devoted to shapes and properties of shortest path balls constructed with use of the mentioned metric, and this is due to some possible applications, for instance fire-propagation models. For Part I of this paper, see [the author, ibid. 256, 105--137 (2019; Zbl 1447.52027)].
reviewed by: Piotr Pokora
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 7027417
zbMATH Keywords: gauge-distances
zbMATH Keywords: hyperplane boundary
zbMATH Keywords: shortest path
zbMATH Keywords: Snell law
MaRDI profile type: Publication
full work available at URL: j.dam.2018.09.007
OpenAlex ID: W2904110039
cites work: Location among regions with varying norms
cites work: LOCATING A SINGLE FACILITY IN THE PLANE IN THE PRESENCE OF A BOUNDED REGION AND DIFFERENT NORMS
cites work: Q2753173
cites work: Single facility location problem with region-dependent distance metrics
cites work: Pasting gauges. I: Shortest paths across a hyperplane
cites work: Gauge distances and median hyperplanes
cites work: Modeling wildfire propagation with Delaunay triangulation and shortest path algorithms
DOI: 10.1016/J.DAM.2018.09.007
Wikidata QID: Q128785608
description: scientific article; zbMATH DE number 7027417