Gini Coefficient Filter

Calculates the Gini coefficient per pixel.

Category	Math
Node
Parameters	(none)
Inputs	Input: the input
Outputs	Output: the Gini coefficient output

Effect of the Filter

This filter calculates the Gini coefficient for each pixel according to the formula:

$G = \frac{\sum_{i=1}^{N} \sum_{j=1}^{N} |y_i - y_j|}{2N^2\bar y}$

where $N$ is the number of channels, $y_i$ is an individual channel value and $\bar y$ is the average of a given channel.

For example, the following spectrum would have a Gini coefficient of 0.047553: