What is the inverse display function when processing images?

Does anyone know what the inverse function is when processing images? paper I read a description of image processing functions that "accept input coordinates as arguments, not pixel coordinates, which allows you to distort the result of an arbitrary inverse display function."

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There are two ways to deform the image [15]. The first, called direct mapping, scans the pixel of the source image by pixels and copies them to the appropriate location on the target image. The second, reverse mapping, passes through the pixel of the target image by pixel and displays the correct pixel from the original image. The most important feature of reverse mapping is that each pixel of the target image is set to something suitable. In the case of direct display, some pixels at the destination may not be colored and should be interpolated. We calculate the image deformation as the inverse mapping. The problem can be formulated: "What pixel coordinate in the source image do we select for each pixel in the target image?"

This is an exception to this article:

http://www.cs.princeton.edu/courses/archive/fall00/cs426/papers/beier92.pdf (pdf)

http://www.hammerhead.com/thad/morph.html (html)

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Source: https://habr.com/ru/post/1756288/


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