LaplacianFilter

LaplacianFilter[n] returns a filter of length n, whose elements are scaled samples of the impulse response of the ideal Laplacian operator.

LaplacianFilter[n₁, n₂,...] returns the Laplacian filter of dimensions n₁×n₂×....

The 2D Laplacian is defined as

The LaplacianFilter is the discrete-space approximation of the Laplacian

The 1D Laplacian filter of length n is obtained by sampling the sequence

and scaling the resulting samples so that

h[i] = 0, with k such that n=2k+1.

See also User's Guide 7.3.

Modified in Version 2.

Example

This loads the package.

In[1]:=

Here we calculate a 5 × 5 Laplacian filter.

In[2]:=

Out[2]//MatrixForm=

Out[2]//MatrixForm=

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