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I am studying some deconvolution techniques, In order to remove motion blur, like:

Are there any pros / cons of using one versus another?
For example which are the pros / cons of Richardson-Lucy technique?

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Both are the MMSE estimators.

The main difference is Wiener is the optimal for Gaussian Noise while Richardson Lucy assumes Poisson Noise.

Poisson Noise is a better model for noise in photos captured by a Photo Diode.

Computationally, in the case of Gaussian Noise and Linear Convolution the solution has a closed form solution in the Maximum Likelihood / LS sense.

The Lucy Richardson method, which is a Maximum Likelihood in the Poisson case, has no closed form solution and requires iterative approach.

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