filters image by convolving with a Gaussian kernel of pixel radius r.

convolves image with a kernel formed from the ^(th) derivatives of the discrete Gaussian.

uses a Gaussian kernel with radius r and standard deviation σ.

uses radii etc. in vertical and horizontal directions.

applies Gaussian filtering to an array of data.

Details and OptionsDetails and Options

  • GaussianFilter is a linear smoothing filter commonly used in image processing applications.
  • GaussianFilter works with arbitrary 2D and 3D images, operating separately on each channel, as well as data arrays of any rank.
  • GaussianFilter[image,r] is equivalent to GaussianFilter[image,{r,r/2}].
  • GaussianFilter[image,] by default gives an image of a real type of the same dimensions as image.
  • GaussianFilter[image,r,{n1,n2}] computes the ^(th) Gaussian derivative of the vertical dimension in an image pointing downward and the ^(th) horizontal derivative pointing toward the right.
  • The following options can be specified:
  • Method"Bessel"how to determine elements of the Gaussian matrix
    Padding"Fixed"padding method
    WorkingPrecisionAutomaticthe precision to use
    "Standardization"Truewhether 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.
Introduced in 2008
| Updated in 2012