BUILT-IN MATHEMATICA SYMBOL
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 
derivatives of the discrete Gaussian.
GaussianFilter[image, {r, 
}, ...]
uses a Gaussian kernel with radius r and standard deviation .
GaussianFilter[image, {{r1, r2}, ...}]
uses radii 
etc. in vertical and horizontal directions.
GaussianFilter[data, ...]
applies Gaussian filtering to an array of data.
- GaussianFilter is a linear smoothing filter commonly used in image processing applications.
- GaussianFilter works with arbitrary grayscale or multichannel images, operating separately on each channel.
- GaussianFilter works with 3D as well as 2D images, and also with data arrays of any rank.
- GaussianFilter[image, r] is equivalent to GaussianFilter[image, {r, r/2}].
- GaussianFilter[image, ...] by default gives a real image of the same dimensions as image.
- GaussianFilter[image, r, {n1, n2}] computes the
Gaussian derivative of the vertical dimension in an image pointing downward and the 
horizontal derivative pointing toward the right.
- GaussianFilter can take the following options:
-
| Method | "Bessel" | how to determine elements of the Gaussian matrix |
| Padding | "Fixed" | padding method |
| WorkingPrecision | Automatic | the precision to use |
| "Standardization" | True | whether to rescale and shift the Gaussian matrix to account for truncation |
- Possible settings for the Method option are
and 
.
- With a setting Padding->None, GaussianFilter[image, ...] normally gives an image smaller than image.
Gaussian filter of a three-channel image, using a four-pixel radius:
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Apply an elliptic Gaussian to blur more in the horizontal direction:
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Vertical Gaussian derivative:
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Horizontal Gaussian derivative:
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Horizontal and vertical derivatives combined:
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Apply a Gaussian filter to a list of values:
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