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Author Topic: Coral reef  (Read 2245 times)
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Buddhi
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« on: December 08, 2009, 06:49:11 PM »

This is zoom of z^8+c fractal


http://www.fractalforums.com/gallery/?sa=view;id=1165
http://krzysztofmarczak.deviantart.com/art/Coral-reef-3D-fractal-146121417
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cKleinhuis
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« Reply #1 on: December 08, 2009, 07:04:11 PM »

cool one!
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kram1032
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« Reply #2 on: December 08, 2009, 07:09:31 PM »

now add some fish consisting of self-limiting fractal sets cheesy
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Buddhi
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« Reply #3 on: December 14, 2009, 03:13:36 PM »

Another deep zoom of z^8 + c fractal


FractalForums Gallery http://www.fractalforums.com/gallery/1/640_14_12_09_3_09_24.jpg
DeviantArt http://krzysztofmarczak.deviantart.com/art/Deep-zoom-of-z8-c-fractal-146734241
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raphuu
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« Reply #4 on: December 14, 2009, 03:40:59 PM »

Hi,

those images are stunning, really.

I am not a programmer nor a mathematician, so I apologize for the following question:
why, in animations or images like this one, do the parts of the bulb that are escaping the image itself seem distorted, like if the were pull like chewing-gum.

<a href="http://www.youtube.com/v/cDd8R0xlkNA&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/cDd8R0xlkNA&rel=1&fs=1&hd=1</a>
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bib
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« Reply #5 on: December 14, 2009, 04:05:25 PM »

Hi,

those images are stunning, really.

I am not a programmer nor a mathematician, so I apologize for the following question:
why, in animations or images like this one, do the parts of the bulb that are escaping the image itself seem distorted, like if the were pull like chewing-gum.

I think there are 2 reasons :
- The perspective itself
- The fact the Mandelbulb does have distorted areas


Here are some more images of relatively deep zooms. It's very difficult to make deep zooms that do not show any distorted (or whipped creamish) parts.






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raphuu
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« Reply #6 on: December 14, 2009, 04:28:59 PM »

It's very difficult to make deep zooms that do not show any distorted (or whipped creamish) parts.

is it difficult because of the fractal itself or is it always like this with CG animations?
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kram1032
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« Reply #7 on: December 14, 2009, 04:38:09 PM »

most likely because of a combination of "the fractal itself" and "iteration count"

would it be possible to do kind of a whipped-cream detection where the just in those parts it gets iterated deeper?
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bib
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« Reply #8 on: December 14, 2009, 04:57:07 PM »


would it be possible to do kind of a whipped-cream detection where the just in those parts it gets iterated deeper?

Although I'm not a programmer, that sounds quite (very) complex to set different iteration counts depending on which parts of the image is rendered.
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Tglad
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« Reply #9 on: December 14, 2009, 11:48:24 PM »

>> why, in animations or images like this one, do the parts of the bulb that are escaping the image itself seem distorted, like if the were pull like chewing-gum.
Ah, after being about to write all about the mandelbulb being non-conformal, I realised that isn't the answer to your question.
The geometry at the edge of the image looks distorted because it is rendered with wide perspective, or a large field-of-view.
If you sat at the front row of a cinema and watched it, then it wouldn't look distorted, but since we are viewing these in quite a small rectangle a couple of feet from the screen, it is visibly distorted.
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cKleinhuis
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« Reply #10 on: December 15, 2009, 12:35:57 AM »

i had used a method of simply counting the in/ out ratio of an image, but those had fractal dimension everywhere ...

you simply have to determine the fractal dimension of a section of your formula, by box counting ( very expensive ) the closer it is to a natural number ( 3 dimensions = 3 ) the more "whipped" it is....

fractal dimension estimation in simple words, take the ratio of inside/outside voxels  at a certain detail level, ( e.g. start with a 16x16 pixel matrix ) and the growth of that ratio
by ever increasing detail level converges against fractal dimension wink, and the exists formulas for estimating this dimension, read here

http://www.math.sunysb.edu/~scott/Book331/Fractal_Dimension.html

 afro
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mrrgu
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« Reply #11 on: December 16, 2009, 04:41:40 PM »

I like this one  grin
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mrrgu
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« Reply #12 on: December 16, 2009, 04:45:13 PM »

A guess could be the high power 8..
This quickly stretch or contract the length of the iteration vector.

But it is just a guess..


Hi,

those images are stunning, really.

I am not a programmer nor a mathematician, so I apologize for the following question:
why, in animations or images like this one, do the parts of the bulb that are escaping the image itself seem distorted, like if the were pull like chewing-gum.

<a href="http://www.youtube.com/v/cDd8R0xlkNA&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/cDd8R0xlkNA&rel=1&fs=1&hd=1</a>
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jehovajah
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« Reply #13 on: December 16, 2009, 06:52:41 PM »

Really impressive and awesome renders bhuddi
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« Reply #14 on: January 11, 2010, 11:27:04 AM »

    This is zoom of z^8+c fractal

    Another deep zoom of z^8 + c fractal

Both of these are very good, indeed !!!    smiley

I even think I see a bit of Staghorn coral within the first image (along the lower left-hand portion).
 
« Last Edit: September 12, 2013, 06:10:35 AM by Nahee_Enterprises » Logged

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