arcgis-desktoparcmaparcpy
I have thousands of 2D irregular contours a shown. They are tree and other vegetation contours. I would like to come up with a representative radius from their centroid to their further edge/point with arcgis. I have spatial and 3d analyst licenses just don't see a way. I have already generated their centroids in a separate file.
Any advice on how I can proceed?
As you have specified that the line from the point can pass in/out of the polygon then I think all you need to do is extract the Envelope of the polygon. You also state in the comment above you are look for an arcpy solution and you have a Basic license level.
You can get most of the way with model builder and a sneaky use of the fishnet tool to extract the Envelope. You could take that logic and convert it into a python script.
The image below was created by:
At this point you need to be using arcpy and cursors to cycle through the points and extracting the distance. What you want to look at is the method DistanceTo. So it's all achievable with the basic license level.
For the simplest approach with zero coding I think @FelixIP has nailed it! Simply use the Euclidean Allocation tool, making sure you set your outer boundary as the mask and processing extent, then choose a sensible cell size to produce a smooth raster which you can then turn back into a polygon.
Here is the output of the Allocation tool built from the inner hashed polygons but constrained (masked) by the outer black line:
It would be a simple matter of converting the raster back to a polygon featureclass. This approach may introduce a slight zig-zag edge to the final polygons because they are derived from a raster, if you are prepared to accept that then this problem is reduced to running two tools, Euclidean Allocation then raster to polygon.
Best Answer
Perhaps you would be happy by computing minimum bounding circles for your polygons. See http://desktop.arcgis.com/en/arcmap/10.3/tools/data-management-toolbox/minimum-bounding-geometry.htm
You will get a new measure as an attribute: