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What I mean is that when you apply linear resampling "across" a strong edge, linear filtering will either blur & bloat (make fatter) the edge or add ringing artifacts, or both, depending on which linear resampling filter you're using. sinc helps avoiding blur and bloating, but adds an atrocious amount of ringing. Resamplers like spline add much less ringing artifacts, but still some, and add blur & bloat.
My explanation is probably less scientific than you may be looking for. I prefer looking at the practical output of algos, instead of theorizing over frequency domain stuff.
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