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Mathematica > Data Manipulation > Image Processing & Analysis > Image Filtering & Neighborhood Processing >

Built-in Mathematica Symbol

GradientFilter

GradientFilter[image, r]
gives an image corresponding to the magnitude of the gradient of image, computed using discrete derivatives of a Gaussian of pixel radius r.

GradientFilter[image, {r,

}]
uses a Gaussian with standard deviation

GradientFilter[image, {{r₁, r₂}, ...}]
uses a Gaussian with radii r_i etc. in vertical and horizontal directions.

GradientFilter[data, ...]
applies gradient filtering to an array of data.

MORE INFORMATION

GradientFilter[image, r] is equivalent to GradientFilter[image, {r, r/2}].

GradientFilter takes a Padding option. The default setting is Padding->"Fixed".

GradientFilter operates separately on each channel in an image.

In GradientFilter[data, ...], data can be an array of any rank, and can contain symbolic as well as numerical entries.

EXAMPLES

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Basic Examples (3)

Gradient filtering of a multi-channel image:

Adjusted gradient filter of a grayscale image:

Apply gradient filtering to a vector of numbers:

Gradient filtering of a multi-channel image:

In[1]:=

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Adjusted gradient filter of a grayscale image:

In[1]:=

Out[1]=

Apply gradient filtering to a vector of numbers:

In[1]:=

Out[1]=

Applications (1)

Use gradient filtering to find edges:

Neat Examples (1)

Create a random texture from uniform noise: