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Fig. 1 | International Journal of Health Geographics

Fig. 1

From: Anonymisation of geographical distance matrices via Lipschitz embedding

Fig. 1

Illustration of step 3. The size parameter k is chosen equal to 3 and the elements of the reference sets are sampled at random from the administrative area of the United Kingdom. The coordinate \(f_i(p)\) of the point p (black square) with respect to the random reference set \(R_i=\{r_{i1},r_{i2},r_{i3}\}\) is given by the minimum distance from p to a point of this reference set. We have \(d(p,r_{i1})=308.9\), \(d(p,r_{i2})=262.3\) and \(d(p,r_{i3})=162.7\), thus \(f_i(p)=\min \{308.9, 262.3, 162.7\}=162.7\). All distances are measured in kilometers

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