The inversion of a convolution equation, i.e., the solution for 
of an equation of the form
 |
given 
and 
,
where 
is the noise and 
denotes the convolution. Deconvolution
is ill-posed and will usually not have a unique solution even in the absence of noise.
Linear deconvolution algorithms include inverse filtering and Wiener filtering. Nonlinear algorithms include the CLEAN algorithm, maximum entropy method, and LUCY.
