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Moving the points are not a problem. The problem is to generate a new expression from new positions. My way of doing this things will be:

1. generate a mesh with OpenGL for example.
2. use your image as texture.
3. move the points in the needed position.

=> the texture generate will be your image, made with interpolation of pixels, but:

1. How to fill inside mouth?
2. Does it really look like an expression???
3. What is the validity of such approach -> I think it will invalid!

If you are interested if facial expression, look at MUCT for examples of expression, or any database used in facial expression recognition paper, it will be much better in my opinion.