# LaplacianGaussianFilter

LaplacianGaussianFilter[image,r]

convolves image with a Laplacian of Gaussian kernel of pixel radius r.

LaplacianGaussianFilter[image,{r,σ}]

convolves image with a Laplacian of Gaussian kernel of radius r and standard deviation σ.

LaplacianGaussianFilter[data,]

applies Laplacian of Gaussian filtering to an array of data.

# Details and Options

• LaplacianGaussianFilter works with arbitrary 2D and 3D images, operating separately on each channel, as well as data arrays of any rank.
• LaplacianGaussianFilter[image,r] uses .
• LaplacianGaussianFilter[image,{{r1,r2},}] specifies different radii in the vertical and horizontal directions.
• LaplacianGaussianFilter[image,] by default gives an image of a real type of the same dimensions as image.
• The following options can be specified:
•  Method "Bessel" how to determine elements of the Gaussian matrix Padding "Fixed" padding method Standardized True whether to rescale and shift the Gaussian matrix to account for truncation WorkingPrecision Automatic the precision to use
• With a setting , LaplacianGaussianFilter[image,] normally gives an image smaller than image.

# Examples

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## Basic Examples(5)

Find edge features in a color image:

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Laplacian of Gaussian applied to a grayscale image:

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Find the edges of an object, showing the inside of the edge in darker tones and the outside in brighter tones:

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Laplacian of Gaussian (LoG) filter of a numeric array:

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Apply the Laplacian of Gaussian (LoG) filter to a 3D image:

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