I have some stone wall features that I need to determine the height of in ArcGIS Desktop. I have extracted the features out of the DEM by using the extract by mask tool. Now I need a method for interpolating the surface where the features were removed so that the surface reflects bare earth with the features removed.
I tried to convert the clipped raster to points and then back to a raster using IDW interpolation but the process took a lot of time and ultimately failed.
Is there an easier method for doing this or am I maybe running into some issues with my approach?
Basically, I need to find the height of these stone walls by creating a bare earth DEM without them in it. I've tried to create a DTM from LiDAR data but the stone walls weren't completely removed. So after digitising them with polygons, I've been able to extract them out of the DEM and need to interpolate the surface to effectively create a DTM without the walls in so that I can accurately calculate their height.

Con(IsNull(DEM), FocalStatistics(DEM, NbrCircle(3, "CELL"), "MEAN"), DEM)) or convert your DEM to points, only in a restricted area around the wall (i.e. a buffer), interpolate that with IDW, then patch that back in with something likeCon(IsNull(DEM), IDW_OUTPUT, DEM)– user2856 Dec 10 '19 at 03:11