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"Greg M. Johnson" wrote:
>
> I'm having fun making flythroughs of the 3dnoise function in the
> superpatch for povray.
>
> I am trying to understand this mathematically. If I use:
> 3dnoise(x,y,z)
> I get something with a uniform distribution of porosity. As the
> threshold approaches 1.0, the percent porosity approaches 0 (% density
> approaches 1.0). However, if the threshold is 0.0, there is not 100%
> porosity.
>
> I want to understand how to change the radial density of the noise
> function. Suppose I want to make a sphere where the density approaches
> 0 at r=R. How would I do this? Intuitively, I might try:
> 3dnoise(x^0.5,y^0.5,z^0.5)
> . So far, nothing is yielding precisely the results I'm looking for.
noise3d (x*f, y*f, z*f)*(R-sqrt(x^2+y^2+z^2)) where f adjusts the
regularity of the noise (the smaller, the smoother). Note that this will
give you some noise outside the sphere too, to avoid this, you could use
noise3d (...)*max(0, R-sqrt(...)) instead.
Jerome
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