Well I have searched up this question for you and discovered you many people have already asked this question, and none of them got an answer, yet. So I will try to answer as best as I can. I believe that my method is not the best. But if your application is not time or performance sensitive, then this method may work.
Now this comes to a math problem. You know that the screen is make out of pixels and there is no point making it overly detailed because it isn't possible. So you can do this:

They grey line being your intended line, and the green line being your actual drawn line. If you move objects using the tween engine along the green path and switch path when hitting the red dots. You could mimic an elliptical movement. However, you need to use math and calculate your path. You could set the coordinates of your path as a constant for every screen size, or you could calculate it every time.
Overall, the more points you calculate, the more elliptical the movement will be.
Anyways if you look at this website, it teaches you how to tween.
You can use Tween.to(...);
to help you tween to the points.
Hope this helped you