A generalized multidimensional deconvolution imaging condition could be the solution to integrating information from the neighboring points in the computation of reflection strength for shot profile migration. However, issues related to deconvolution stability and proper placement of the image still need to be solved. An alternative to deconvolution, stating a new regularized least squares imaging condition, could be a feasible approach as the regularization operator can be set to favor a predetermined spatial distribution.
We showed, in a synthetic experiment, that a spatial variant damping factor can improve the resolution and amplitude preservation of the conventional industry imaging condition. The damping factor can be related to reflector illumination, adding the damping factor where it is really needed.