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72 What does aliasing have to do with fractals?




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This article is from the sci.fractals FAQ, by Michael C. Taylor and Jean-Pierre Louvet with numerous contributions by others.

72 What does aliasing have to do with fractals?

Fractals, are very strange objects indeed. Because they have
an infinite amount of arbitrarily small detail embedded inside them,
they have an infinite number of frequencies in the images. When we use
a program to compute an image of a fractal, each pixel in the image is
actually a sample of the fractal. Because the fractal itself has
arbitrarily high frequencies inside it, we can never sample high
enough to reveal the "true" nature of the fractal. "Every" fractal
ever computed has aliasing in it. (A special kind of aliasing is
called "Moire' patterns" and are often visible in fractals as well.)

 

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