You can edit edge flow on a polygon mesh using the Edit Mesh > Edit Edge Flow option. Edit Edge Flow adjusts the position of edges to fit the curvature of the surrounding mesh.
To edit edge flow

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The Edit Edge Flow Options window appears.
By default, Adjust Edge Flow is enabled and set to 1 for maximum adjustment of edge angles. At 0 the selected edges move to the middle of the other nearby edges, creating a flat transition.

The positions of the edges move to respect the curvature continuity of your mesh.