POV-Ray : Newsgroups : povray.advanced-users : Volume-preserving blob : Re: Volume-preserving blob Server Time
29 Jul 2024 06:17:08 EDT (-0400)
  Re: Volume-preserving blob  
From: John Williamson
Date: 12 Oct 2002 17:28:20
Message: <3DA894B0.9FCA901F@dcs.gla.ac.uk>
Hi,

> 
> This is due to the exact same mathematical property that causes a similar
> "grid" artifact in the noise function: first derivatives match up, second
> ones don't. It's not an easy problem to solve.

Hmm, I'm not sure, but is this not because the blob density function is
quadratic? If the blob function was exponential (e.g a mixture of
Gaussian components), wouldn't the second derivative be continuous? e.g
isosurface with a function like

f_gauss = function(x,y,z) { 1.0 - exp(-(x*x + y*y + z*z)/2.0) }

then use a sum of f_gauss at different centers...

But I could be totally wrong about this...

--John


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