medpy.metric.histogram.chebyshev¶
-
medpy.metric.histogram.
chebyshev
(h1, h2)[source]¶ Chebyshev distance.
Also Tchebychev distance, Maximum or \(L_{\infty}\) metric; equal to Minowski distance with \(p=+\infty\). For the case of \(p=-\infty\), use
chebyshev_neg
.The Chebyshev distance between two histograms \(H\) and \(H'\) of size \(m\) is defined as:
\[d_{\infty}(H, H') = \max_{m=1}^M|H_m-H'_m|\]Attributes:
- semimetric (triangle equation satisfied?)
Attributes for normalized histograms:
- \(d(H, H')\in[0, 1]\)
- \(d(H, H) = 0\)
- \(d(H, H') = d(H', H)\)
Attributes for not-normalized histograms:
- \(d(H, H')\in[0, \infty)\)
- \(d(H, H) = 0\)
- \(d(H, H') = d(H', H)\)
Attributes for not-equal histograms:
- not applicable
Parameters: h1 : sequence
The first histogram.
h2 : sequence
The second histogram.
Returns: chebyshev : float
Chebyshev distance.
See also