Noise is a the foe of any information transmission, yet the total elimination of noise is–counter-intuitively–bad.
Nature is, from our human perspective, inherently noisy, and this noise is inherent to its beauty. When we try to over-fit a simple order we get something that is, yes, lined up neatly, but also dead.
Nature is not truly noisy, but the mathematics that underlies its order is more complicated than we can easily model (it is only in the past century that we’ve developed the tools necessary to model tomorrow’s weather with any degree of accuracy, for example.) Whether we are drawing trees or clouds, controlled randomness works far better than regular repetition. (If you want to get technical, the math involved tends to involve fractals.)
In photography, dithering is the intentional application of noise to randomize quantitization errors. According to Wikipedia:
Dither is routinely used in processing of both
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