Pasting gauges II: Balls in pasted halfplanes

Frank Plastria

doi:10.1016/j.dam.2018.09.007

Pasting gauges II: Balls in pasted halfplanes

Frank Plastria

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We consider the planar metric obtained when pasting two halfplanes with different gauges along their separating line.
The shape of the corresponding balls of given centre and radius is characterised.
The particular cases obtained when considering inflated euclidean, rectangular and/or polyhedral distances
are studied in detail.

Originele taal-2	English
Pagina's (van-tot)	138-156
Aantal pagina's	19
Tijdschrift	Discrete Applied Mathematics
Volume	256
DOI's	https://doi.org/10.1016/j.dam.2018.09.007
Status	Published - 15 mrt 2019

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title = "Pasting gauges II: Balls in pasted halfplanes",

abstract = "We consider the planar metric obtained when pasting two halfplanes with different gauges along their separating line.The shape of the corresponding balls of given centre and radius is characterised.The particular cases obtained when considering inflated euclidean, rectangular and/or polyhedral distancesare studied in detail.",

keywords = "Gauge-distances, Hyperplane boundary, Shortest path, Snell law",

author = "Frank Plastria",

year = "2019",

month = mar,

day = "15",

doi = "10.1016/j.dam.2018.09.007",

language = "English",

volume = "256",

pages = "138--156",

journal = "Discrete Applied Mathematics",

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T1 - Pasting gauges II: Balls in pasted halfplanes

AU - Plastria, Frank

PY - 2019/3/15

Y1 - 2019/3/15

N2 - We consider the planar metric obtained when pasting two halfplanes with different gauges along their separating line.The shape of the corresponding balls of given centre and radius is characterised.The particular cases obtained when considering inflated euclidean, rectangular and/or polyhedral distancesare studied in detail.

AB - We consider the planar metric obtained when pasting two halfplanes with different gauges along their separating line.The shape of the corresponding balls of given centre and radius is characterised.The particular cases obtained when considering inflated euclidean, rectangular and/or polyhedral distancesare studied in detail.

KW - Gauge-distances

KW - Hyperplane boundary

KW - Shortest path

KW - Snell law

UR - http://www.scopus.com/inward/record.url?scp=85058179729&partnerID=8YFLogxK

U2 - 10.1016/j.dam.2018.09.007

DO - 10.1016/j.dam.2018.09.007

M3 - Article

VL - 256

SP - 138

EP - 156

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

ER -

Pasting gauges II: Balls in pasted halfplanes

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