# 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.

## Dialog box

**Filter Size**: larger filter yields stronger effect.

Click Preview to judge the results.

Click OK to proceed.

## Examples

Before: | After: | |

## See also

- Arithmetic Mean Filter
- Harmonic Mean Filter
- Median Filter
- Maximum Filter
- Minimum Filter
- Midpoint Filter
- Yp Mean Filter
- Range filter
- Emboss Filter
- Canny Edge Detector