Welcome to Fractal Forums

This is zoom of z^8+c fractal

(http://www.fractalforums.com/gallery/1/640_08_12_09_6_42_29.jpg)
http://www.fractalforums.com/gallery/?sa=view;id=1165
http://krzysztofmarczak.deviantart.com/art/Coral-reef-3D-fractal-146121417

cool one!

now add some fish consisting of self-limiting fractal sets :D

Another deep zoom of z^8 + c fractal

(http://www.fractalforums.com/gallery/1/640_14_12_09_3_09_24.jpg)
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

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.

(http://www.fractalforums.com/gallery/1/492_13_12_09_8_23_04.jpg)

(http://www.fractalforums.com/gallery/1/492_13_12_09_10_34_18.jpg)

(http://www.fractalforums.com/gallery/1/492_09_12_09_7_48_01.jpg)

is it difficult because of the fractal itself or is it always like this with CG animations?

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?

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.

>> 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.

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 ;), and the exists formulas for estimating this dimension, read here

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

 O0

I like this one  ;D

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..

Really impressive and awesome renders bhuddi

Both of these are very good, indeed !!!    :)

I even think I see a bit of Staghorn coral within the first image (along the lower left-hand portion).