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Jan 13, 2019 at 11:24 comment added Soby oh right how silly of me to look over that. Thank you so much!
Jan 13, 2019 at 10:15 comment added Fedor Petrov $h$ is uniquely defined by the images of four points, this is the basic fact about projective transformations of the plane
Jan 13, 2019 at 9:50 comment added Soby Hi. Thank you very much for your reply. May I clarify a few things? For case 1) why is $h(p_i)=p_{f(p_i)}$ uniquely determined for $i=1,2,3,4$ and how does this suggest $h(p_5)=p_{f(p_5)} $ does not hold generically?
Jan 13, 2019 at 9:30 vote accept Soby
Jan 13, 2019 at 9:13 history answered Fedor Petrov CC BY-SA 4.0