Tools for stability analysis

It would be helpful to provide tools or at least examples for analyzing how stable a visual representation is, across some parameter values. For instance, when the binning resolution of a heatmap of gridded data approaches the sampling resolution of that data, there will be moire' patterns that create visible bands, blobs, or other spurious patterns in the plot that disappear at different binning resolutions. It should be possible to make an automated tool that highlights whether a given plot would have been very different at a slightly lower or higher resolution or other plotting parameter value, though it will probably be difficult to define suitable metrics that work well in practice.