I think you mean "resize" rather than "compress".
Yes, resizing images will generally change pixels.
What you should do about the change of pixels depends upon what you mean by "image comparison".
If I have a picture that is a green background (square) that has a purple circle and an orange triangle inside it, and I create a second image in which I leave all the sizes and shapes exactly the same, but change the colors to yellow, red, and brown, then should the images compare as being fairly similar (same object shapes, same sizes and positions), or should the images compare as being completely different (since not one pixel is the same color) ?
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