And attempting to "regularize" data based on a simple weighting algorithm is not very accurate whatsoever.
"I defer to your expertise."
I am only a software engineer developing simple algorithms and doing seismic system design. But "regularization" of data is a big big issue in the seismic field and we have PhDs and double-PhDs working around the clock on algorithms. A weighting scheme is a very basic and not so good method for spatial interpolation and extrapolation.
And that's a very good point.