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19 May 2024 09:03:14 EDT (-0400)
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From: WaveMaster
Subject: Re: 3d fractal animation with error ?
Date: 5 May 2007 10:45:01
Message: <web.463c978fb9adab2dcbdad360@news.povray.org>
The final prove that there are errors in the fractal calculation:
-----------------------------------------------------------------

First the Source Code:

global_settings {number_of_waves 10}
global_settings {assumed_gamma 1.0}
global_settings {max_trace_level 10}
global_settings {adc_bailout 0.006}

global_settings {
  photons {
    count 40000
    media 100
    gather 30, 120
    autostop 0
    jitter .4
  }
}
camera{
  location <0, 0,-455+150.0*clock>
  sky y
  up <0, 1, 0>
  right <-1.77 0.0 0.0>
  look_at <0.0, 0, 0>
}

light_source{
  <0, 0,-380>
  color rgb 1.6
}

julia_fractal {
  <-0.4, 0.4, -0.4, 0.4>
  quaternion
  sqr
  slice <0,0,0.0,1.0>, 0.0
  precision 14
  max_iteration 24
  texture {
    pigment{
      checker
        pigment{
          rgb <1,1.0,1.0>
        },
        pigment{
          rgb <1,1.0,0.3>
        }
      scale <0.05,0.05,0.05>
    }
    finish {
      ambient 0.09
      metallic 0.4
    }
  }
  hollow on
  rotate <-2,19,0>
  rotate <0,0,-10>
  scale <260, 210, 1000>
  rotate <0, 96, 0>
  translate <0.0, -8, 0>
}

The fractal has no rotation. Only a simple translation from outside into the
fractal. As soon as you come near the shape of the fractal, you have a
calculation change of the fractal. In the animation, you can see two
different ellipses which grow. Inside the ellipses you can see, that some
parts of the fractal are on another position as they were at the begining
(Outside the shape). The amount of ellipses varies on the angel you hit the
shape. When the fractal slowly rotates around the y-axis you can see up to 6
different ellipses they start from a point and grows over the whole
fractal-image.

Animation Link:

http://homepage.sunrise.ch/mysunrise/go_huerlimann/PovRay/FractalTest_08_MegaP_001_200.m2v

Can anyone explain this kind of animation effect?
Is that also a Wheel effect??


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From: Grassblade
Subject: Re: 3d fractal animation with error ?
Date: 5 May 2007 19:00:02
Message: <web.463d0b93b9adab2316586000@news.povray.org>
"WaveMaster" <nos### [at] yahoocom> wrote:
> The final prove that there are errors in the fractal calculation:
> -----------------------------------------------------------------
>
> First the Source Code:
>
> [...]
>
> The fractal has no rotation. Only a simple translation from outside into the
> fractal. As soon as you come near the shape of the fractal, you have a
> calculation change of the fractal. In the animation, you can see two
> different ellipses which grow. Inside the ellipses you can see, that some
> parts of the fractal are on another position as they were at the begining
> (Outside the shape). The amount of ellipses varies on the angel you hit the
> shape. When the fractal slowly rotates around the y-axis you can see up to 6
> different ellipses they start from a point and grows over the whole
> fractal-image.
>
> Animation Link:
>
>
http://homepage.sunrise.ch/mysunrise/go_huerlimann/PovRay/FractalTest_08_MegaP_001_200.m2v
>
> Can anyone explain this kind of animation effect?
> Is that also a Wheel effect??

Of course it isn't the wheel effect here. I do not know how POV makes the
calculations so I can only guess at the cause, but that looks like an error
in calculations that gets propagated. Try using the "sturm" keyword to
obtain more accurate roots. If the error persists even using sturm, then it
is likely a bug in the code.


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From: WaveMaster
Subject: Re: 3d fractal animation with error ?
Date: 10 May 2007 21:05:01
Message: <web.4643c109b9adab226569bd50@news.povray.org>
I have tried to render the fractal-object with the following statement
inside:

  sturm true

I couldn't render the animation, because the current versions of Povray and
also MegaPov don't support this feature.

Is there another possibility to switch on the new root solver mode for a
fractal object???

Important Data to know:

Current Povray-Version : 3.6.1c.icl8.win32
Current MegaPov-Version: 1.2.1/based on 3.6.1.msvc7 unofficial-win32
Operating system: Windows XP pro with sp2
Processor: Pentium 4 2.4 GHz.


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From: Grassblade
Subject: Re: 3d fractal animation with error ?
Date: 13 May 2007 15:55:01
Message: <web.46476bf2b9adab25e8e476c0@news.povray.org>
"WaveMaster" <nos### [at] yahoocom> wrote:
> I have tried to render the fractal-object with the following statement
> inside:
>
>   sturm true
>
> I couldn't render the animation, because the current versions of Povray and
> also MegaPov don't support this feature.
>
> Is there another possibility to switch on the new root solver mode for a
> fractal object???
>
> Important Data to know:
>
> Current Povray-Version : 3.6.1c.icl8.win32
> Current MegaPov-Version: 1.2.1/based on 3.6.1.msvc7 unofficial-win32
> Operating system: Windows XP pro with sp2
> Processor: Pentium 4 2.4 GHz.

It doesn't work? Oops, I'm dreadfully sorry. Taking a look at the manual it
seems that you can crank up precision and/or max_iteration. It looks like
Julia fractals aren't that well implemented in POV-ray yet.
Before I even heard of Pov, I was quite smitten with a program called
Chaoscope. Animation support has been recently added to it, making it a
very interesting tool for exploring strange attractors. You can always
reimport the Chaoscope images into POV-ray as heightfields for fancy
renders. Chaoscope also supports several other non Julia attractors. You
can find it at http://www.btinternet.com/~ndesprez/


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