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How can I correct perspective, giving four points as inputs?

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I searched similar questions but could not find an answer which will work for me. I want to know how can I correct perspective giving 4 points. For instance, I will give (80,80) (560,60) (160,400) (480,320) points and the image (640x480) as inputs, and it will return an image (640x480 again), and these points will be the corners of it.

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