medpy.metric.histogram.relative_deviation#
- medpy.metric.histogram.relative_deviation(h1, h2)[source]#
Calculate the deviation between two histograms.
The relative deviation between two histograms \(H\) and \(H'\) of size \(m\) is defined as:
\[d_{rd}(H, H') = \frac{ \sqrt{\sum_{m=1}^M(H_m - H'_m)^2} }{ \frac{1}{2} \left( \sqrt{\sum_{m=1}^M H_m^2} + \sqrt{\sum_{m=1}^M {H'}_m^2} \right) }\]Attributes:
semimetric (triangle equation satisfied?)
Attributes for normalized histograms:
\(d(H, H')\in[0, \sqrt{2}]\)
\(d(H, H) = 0\)
\(d(H, H') = d(H', H)\)
Attributes for not-normalized histograms:
\(d(H, H')\in[0, 2]\)
\(d(H, H) = 0\)
\(d(H, H') = d(H', H)\)
Attributes for not-equal histograms:
not applicable
- Parameters:
- h1sequence
The first histogram.
- h2sequence
The second histogram, same bins as
h1.
- Returns:
- relative_deviationfloat
Relative deviation between the two histograms.