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BUILT-IN MATHEMATICA SYMBOL
DerivativeFilter[image, {n1, n2}]
computes the 
derivative of image in the vertical and horizontal directions.
DerivativeFilter[image, {n1, n2}, 
]
computes the derivative at a Gaussian scale of standard deviation .
DerivativeFilter[array, {n1, n2, ...}]
computes the derivative of array.
Details and Options
- DerivativeFilter is a linear filter that renders the derivatives of an image based on a spline interpolation model.
- DerivativeFilter uses the array coordinate system, where the first coordinate runs from the top to the bottom of image, and the second coordinate increases from right to left.
- DerivativeFilter works with arbitrary grayscale or multichannel images, operating separately on each channel.
- DerivativeFilter works with 3D as well as 2D images, and also with data arrays of any rank.
- DerivativeFilter[image, ...] gives a real image of the same dimensions as image.
- DerivativeFilter can take the following options:
-
InterpolationOrder Automatic interpolation order Padding "Fixed" padding method - Possible settings for the InterpolationOrder option are 1, 3, 5, 7, or 9. The derivation order has to be smaller than the specified interpolation order.
- Image derivatives are susceptible to noise. To counteract this effect, you can regularize the image or data by a Gaussian kernel of standard deviation . The default value is =0.
- The Padding option accepts the settings
, 
, 
, 
, or a numeric value. A list of these settings can specify different paddings for every dimension of image or data.
New in 8 | Last modified in 9
