I want to smooth polygons which share a common boundary. How can I smooth them so that the shared boundaries stay shared?
I'm using Arcgis 10.3
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The best way is to first convert your polygon to lines using
polygonToLines (NOT feature to line) so that you have a single line shared by 2 polygones. Then you can smooth your lines and convert them back to polygons. If you need to keep the attribute table, create center point (INSIDE) for your original polygons and use those when you convert back to polygons.
There is a "Smooth Polygon" tool in the Cartography toolbox in ArcGIS. It has an option to flag any topological errors. It would be nicer if it had an option to not cause any topological errors, but at least it gives you breadcrumbs.
This link has a 10.3 version of the documentation, so I assume it would meet your needs of your version. http://desktop.arcgis.com/en/arcmap/10.3/tools/cartography-toolbox/smooth-polygon.htm