Pasting gauges II: Balls in pasted halfplanes

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1 Citation (Scopus)


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.
Original languageEnglish
Pages (from-to)138-156
Number of pages19
JournalDiscrete Applied Mathematics
Publication statusPublished - 15 Mar 2019


  • Gauge-distances
  • Hyperplane boundary
  • Shortest path
  • Snell law


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