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Table 1 Sample surface (dis)similarity measures [10, 19, 20, 26, 36]

From: Hybrid case-base maintenance approach for modeling large scale case-based reasoning systems

Distance function Formula
Euclidian distance \(dis(i,j) = \sqrt{\sum \limits _{k=1}^{m}(w_k(p_{ik} - p_{jk}))^2}\)
Manhattan distance \(dis(i,j) = \sum \limits _{k=1}^{m}w_k|p_{ik} - p_{jk}|\)
Canberra distance \(dis(i,j)= \sum \limits _{k=1}^{m} w_k \frac{|p_{ik} - p_{jk}|}{|p_{ik}|+|p_{jk}|}\)
Squared chord distance \(dis(i,j) = \sum \limits _{k=1}^{m}w_k\left(\sqrt{p_{ik}} - \sqrt{p_{jk}}\right)^2\)
Minkowski distance \(dis(i,j)= \left[\sum \limits _{k=1}^{m}w_k |p_{ik} - p_{jk}|^q\right] ^{\frac{1}{q}}\)