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@kjako mentioned some time ago that the current LOSResponse exhibits some artifacts. I suspect that they are caused by our method to compute the "influence" of lines of sight on individual data points.

Currently, the influence of a line of sight on a data point is simply proportional to the length of its intersection with the cell around the data point. It doesn't matter whether the LOS cuts the cell near the edges or goes straight through the center. This also implies that tiny shifts of a line of sight may lead to dramatic changes of its influences on data points, which is probably not desirable.

I propose to use an approach that is more similar to SPH methods:

• each data point has a sphere of influence with a given R_max (similar to the cell distances)
• it interacts with all lines of sight that intersect its sphere of influence
• the interaction strength scales with the integral along the line of sight over a function f(r) around the data point, which falls to zero at R_max.

My expectation is that this will reduce grid-related artifacts.

@ensslint, @kjako: does this sound worthwhile to try?