What Are the Types of Deconvolution?
I would say you can classify using the following main properties:


Blind Deconvolution.
Non Blind Deconvolution.


Then I'd follow:


Linear Model.


Time / Spatial Invariant Model.
Time / Spatial Variant Model.

Non Linear Model.


Time / Spatial Invariant Model.
Time / Spatial Variant Model.



I think those are the main properties of a Deconvolution Problem.
The hardest would be Blind Deconvolution with Non Linear Model of Variant Operator.