Add curve

Hello everybody,
I have been trying very hard to add some curve to the edges that you can see in the pictures ( the lines kind of look ugly ).

I’ve tried smoothing, curve, subdivision and so on, yet nothing could give me some better curve on those edges.

What I would want is to get rid of the non smoothy appearance and try to make it perfectly round. Is there any way of doing it or should I start again from the beginning?

Thank you and kind regards!

Most of the tools are designed to work with quad meshes, because such topology has predictable flow. So long as your model is a triangle soup there’s no reason to expect any tools to produce meaningful results.