> discard information which will contain the information with high frequency components. Now if you convert back to your regular x-y coordinates, you'll find that the resulting image looks similar to the original but has lost some of the fine details.
I would expect also the edges in the image to become more blurred, as edges correspond to high-frequency content. However, this only seems to be slightly the case in the example images.
I would expect also the edges in the image to become more blurred, as edges correspond to high-frequency content. However, this only seems to be slightly the case in the example images.