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 distances
are studied in detail.
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 language | English |
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Pages (from-to) | 138-156 |
Number of pages | 19 |
Journal | Discrete Applied Mathematics |
Volume | 256 |
DOIs | |
Publication status | Published - 15 Mar 2019 |
Keywords
- Gauge-distances
- Hyperplane boundary
- Shortest path
- Snell law