LaplacianFilter

LaplacianFilter[data,r]

convolves data with a radius-r Laplacian kernel.

LaplacianFilter[data,{r1,r2}]

uses radius ri at level i in data.

Details and Options

  • LaplacianFilter is commonly used in image processing to highlight regions of rapid intensity change by approximating the second spatial derivatives of an image.
  • The data can be any of the following:
  • listarbitrary-rank numerical array
    tseriestemporal data such as TimeSeries, TemporalData,
    imagearbitrary Image or Image3D object
    audioan Audio object
  • For multichannel images and audio signals, LaplacianFilter operates separately on each channel.
  • LaplacianFilter[data,] by default returns a result of the same dimensions as data.
  • The following options can be given:
  • Padding"Fixed"padding method
    WorkingPrecisionAutomaticthe precision to use
  • With setting Padding->None, LaplacianFilter[data,] normally returns a result smaller than data.

Examples

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Basic Examples  (3)

Laplacian filter of a list:

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Laplacian filtering of a color image:

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Apply the Laplacian filter to a 3D image:

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Scope  (5)

Options  (4)

Applications  (3)

Properties & Relations  (3)

Neat Examples  (1)

See Also

LaplacianGaussianFilter  GradientFilter  ImageConvolve  ListConvolve  DiscreteDelta

Introduced in 2008
(7.0)
| Updated in 2012
(9.0)