Get rid of distortion

Hello, i want to project a picture onto a cylinder. However this is distorted during the projection. At the sides, it is strongly consumed, because of the uneven surface. How can I solve the problem?

Do you mean an actual physical projection?

You may find this discussion helpful. What approach will work depends a lot on specific details of your setup – where your cylinder will be, where the projectors will be, and where your audience / viewpoint(s) will be.