This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.

# GaussianFilter

 GaussianFilter[image, r] filters image by convolving with a Gaussian kernel of pixel radius r. GaussianFilter[image, r, {n1, n2}]convolves image with a kernel formed from the ni vertical and horizontal discrete derivatives of the Gaussian. GaussianFilter[image, {r, }, ...] uses a Gaussian kernel with radius r and standard deviation . GaussianFilter[image, {{r1, r2}, ...}]uses radii ri etc. in vertical and horizontal directions. GaussianFilter[data, ...]applies Gaussian filtering to an array of data.
• In GaussianFilter[data, ...], data can be an array of any rank, and can contain symbolic as well as numerical entries.
Gaussian filter of a three-channel image, using a 4-pixel radius:
Apply an elliptic Gaussian to blur more in the horizontal direction:
Vertical Gaussian derivative:
Horizontal Gaussian derivative:
Horizontal and vertical derivatives combined:
Apply a Gaussian filter to a list of values:
Gaussian filter of a three-channel image, using a 4-pixel radius:
 Out[1]=

Apply an elliptic Gaussian to blur more in the horizontal direction:
 Out[1]=

Vertical Gaussian derivative:
 Out[1]=
Horizontal Gaussian derivative:

Horizontal and vertical derivatives combined:
 Out[1]=

Apply a Gaussian filter to a list of values:
 Out[1]=
 Applications   (1)