For my artwork I need the cursor position to match the center of user's screen, let's say on pointerenter event. Due to security implications this is not possible in a trivial way. I don't need to control the pointer all the time just to have it initially positioned, then user may move their cursor out of the window etc.

I so far could only think of placing a button in the desired position, so that user activates it there. But are there other techniques? Is this the right stack overflow branch to ask such questions?