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Geometric Mean Filter


Geometric Mean Filter


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:

Geometric meanGeometric mean

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

Geometric Mean Filter dialog box

Filter Size: larger filter yields stronger effect.

Click Preview to judge the results.

Click OK to proceed.


Before: After:
Geometric Mean Filter
Geometric Mean Filter
Geometric Mean Filter

See also