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Original polygon is completely contained by new after simplifying

Geographic Information Systems Asked by Jan Málek on December 16, 2020

Is there a polygon simplification method that can create a polygon, such that the original is completely contained by the new one?

The aim is to create the new polygon from as few points as possible while maintaining a specified maximum tolerance. Until now I have been using a method that creates a buffer to a distance of specified tolerance and then uses a regular simplification method but that seems to be very inefficient as it sometimes creates an unnecessary offset. The original does not intersect itself.

My desired output looks as following

example

One Answer

Simplify your original polygon first. Than use the offset curves tool (from advanced digitizing toolbox - activate it if not visible) to enlarge the simplified polygon. Activate the snapping-mode and make sure that the enlarged polygon snaps to the point on your original polygon that is farthest away from your simplified one (to avoid unnecessary offset).

If offset curves produces round angles configure the parameters in QGIS options dialogue

See screenshot: Offset curves with snapping

Answered by babel on December 16, 2020

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