Is there a possibility to smooth edges of any shapes? I know that rectangles (as object) have a handles to smooth edges (corner radius).
But: I want to drag any point (node) and drag a radius. The point automatically split into 2 nodes and move along the path.
Hard to explain (english is not my main tongue)

A picture is worth a thousand words.
I hope Inkscape or a plugin can do this.
Again: I don't mean the rectangle object corner radius feature. Just like that for all shapes.