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OpenGL Dynamicaly smoothing a shape, how?

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Hi guys.

Please take a look at the 2D image which I've prepared. On figure A we have a shape which I would like to keep in the memory. On figure B, we have the same shape smoothened by some algorithm. This has been done of course in 2D.

Figures A and B

My question is, can I achive the same result in OpenGL dynamicaly? By dynamicaly I mean that I keep in memory only vertexes for the shape A and OpenGL make for me those nice curves. If I zoom in / zome out, everything is nicely resized at real time.

But that is not the end. If this can be done, can I then fill the smoothened shape with some color scheme or texture?

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