I would like to summarize raster statistics along the edge of each parcel/polygon in a shapefile.
For each parcel shown below in yellow, I would like to calculate the average, min and max value of the raster along the edge bordering the polygon. There will likely be 100,000 polygons that need to be summarized.
Note that the polygons will never overlay the raster, they are only adjacent and share an edge. Ideally those stats could be joined directly to the parcels.
I have ArcGIS 10.2.2 with Spatial Analyst and am comfortable scripting in Python if that is a good path.