I have a series of polygons (4,000) and a series of points that exist on the perimeter of each polygon (3 to 5). The points refer to the elevation value which has previously been extracted from a DEM raster. The points exist at the minimum bounding locations of the polygons, whereby the Minimum Bounding Geometry Tool has been used to identify the outline of the polygons in a rectangular fashion and where each polygon intercepts its minimum bounding rectangle a point exists.
The polygons do not touch anywhere. An example image of the points and polygons is shown below:
I wish to identify the point on the perimeter of each polygon that has the greatest elevation value. Any ideas how to do this in ArcMap 10.4?