Using DEMs, I am drawing polygons around depressions. Inside that polygon, I need to generate not only the minimum elevation value but the location that value was extracted from; this location needs to be a point by the end.
The DEMs in use have near centimeter resolution over features that are a kilometer or so in diameter, therefore generating random points, or sampling all points methods are computationally intense; the PC is capable but future usage of this technique may be on lower-end computers.
The above-mentioned methods were modified from maximum they were written for into minimum, they return a value but not the precise location or require iteration over randomly derived samples of the feature.
I have been performing a similar technique in ArcGIS but trying to commit to QGIS once and for all. This is the last process in my conversion I have not been able to figure out.