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Mathematica > Data Manipulation > Numerical Data > Data Transforms and Smoothing > ListDeconvolve >

BUILT-IN MATHEMATICA SYMBOL

ListDeconvolve

gives a deconvolution of list using kernel ker.

The arguments ker and list in ListDeconvolve can be real numerical arrays of any rank and ker cannot be larger than list in any dimension.

Method	"DampedLS"	deconvolution method to be used
Padding	"Reversed"	padding to use for values beyond the original data
MaxIterations	10	number of iterations to try

If the elements of list are exact numbers, ListDeconvolve begins by applying N to them.

For a full documentation of available settings, see the reference page for ImageDeconvolve.

Create a 2D array and convolve it with a Gaussian kernel:

Deconvolve the array:

Create a 2D array and convolve it with a Gaussian kernel:

Out[1]=

Deconvolve the array:

Out[2]=

Deconvolve a piecewise constant signal that was blurred and corrupted by additive noise:

Deconvolve a signal with different levels of regularization:

Use various methods to deconvolve a piecewise constant signal:

Deconvolve a cellular automaton list:

Zero regularization values give rise to ringing artifacts:

This generates blurry and noisy data:

Compute 30 iterations of the Richardson-Lucy algorithm:

Visualize the restoration process. The red dots show the original values of the signal: