Geometric Mean Filter

Command

Image
Filters
Geometric Mean Filter

Description

Applies a geometric mean filter to an image.

In the geometric mean method, the color value of each pixel is replaced with the geometric mean of color values of the pixels in a surrounding region. A larger region (filter size) yields a stronger filter effect with the drawback of some blurring.

The geometric mean is defined as:

The geometric mean filter is better at removing Gaussian type noise and preserving edge features than the arithmetic mean filter. The geometric mean filter is very susceptible to negative outliers.