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Author Topic: YAMS  (Read 5386 times)
Description: minZ pow2 detail (first post)
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Jesse
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« on: January 13, 2010, 01:39:25 AM »

Many thanks to this wonderful forum and to David Making, who made my renderings work with DE  cheesy

Attached (i hope so, this i my first post, so i dont know what happens) is a rendering of the power2 bulb with a selfmade proggy, still under construction.

Downsampled from 2000x2000, calculation time was too long because i set the max iteration count to 555 and it hang a bit on the bottom of the bulb, where isnt any detail. More than 1 hour.


* minZdetail_ds.png (1187.55 KB, 800x800 - viewed 641 times.)
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jwm-art
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« Reply #1 on: January 13, 2010, 02:33:09 AM »

beautiful detail and colours.
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Jesse
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« Reply #2 on: January 13, 2010, 10:29:22 PM »

I like the different shapes in the power 2 version, higher order bulbs becomes more "roundy".

Here is a power 3 in the positive Z version.

(If there is request, i can post the program i used. But some changes has to be done before.)


* p3+Z.png (1207.91 KB, 800x800 - viewed 586 times.)
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Buddhi
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« Reply #3 on: January 13, 2010, 10:53:46 PM »

Beautiful renders. You have very good coloring and shading algorithm.
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matsoljare
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« Reply #4 on: January 13, 2010, 11:00:30 PM »

That coloring looks absolutely amazing! MOAR!!
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Jesse
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« Reply #5 on: January 14, 2010, 09:34:37 PM »

Thank you, i am new to rendering, so a month ago they looked like crap  wink
Maybe some experience in image processing helped.

Ok, some moar:


* quat-yw.png (404.93 KB, 800x640 - viewed 722 times.)

* p8-Z-ds.png (903.92 KB, 800x800 - viewed 734 times.)

* minZp2.png (510.72 KB, 800x600 - viewed 814 times.)
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gaston3d
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« Reply #6 on: January 14, 2010, 09:53:36 PM »


Ok, some moar:

this bluish one is very interesting.
what formula you used?
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kram1032
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« Reply #7 on: January 14, 2010, 09:54:48 PM »

with super-high iterations, the 2nd order Mbulb actually looks pretty much like THE Mbulb... smiley

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gaston3d
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« Reply #8 on: January 14, 2010, 10:22:15 PM »

with super-high iterations, the 2nd order Mbulb actually looks pretty much like THE Mbulb... smiley

just wondering why no one posted it before... or I missed something?
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David Makin
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« Reply #9 on: January 14, 2010, 10:35:50 PM »

@Jessy:

If you're using the smooth iteration DE then there is a faster method - basically Buddhi's suggestion here:

http://www.fractalforums.com/theory/a-new-simple-way-to-compute-de-for-any-trig-mandelbulb/msg11047/#msg11047

I've used it with the same method as the smooth iteration version i.e. get the final magnitude at step and at step+delta then use:

  dir = magn1 - magn
  DE = 0.3*@delta*sqrt(abs(@mpwr-1.0)))*magn*log(magn)/abs(dir)
 
I use changes in the sign of dir (from positive to negative) to check for "missed solid" when the option is enabled.
magn1-magn being zero needs testing for - in which case use a preset step distance (checked against the array if using that method) smiley
 
I got the 0.3 by trial and error and I use:
 
  step = DE*(0.6/ @accuracy)
 
An @accuracy of 1 is fast but prone to errors and a value of 2 rarely produces errors.
 
Note the sqrt(abs(@mpwr-1.0)) - I found that using this makes it consistent using different powers in exactly the same way as it did for me using the analytical method.

I think it's faster because it only requires one log() call whereas the smooth iteration method needs at least 4, though it could be that in general the calculated distances are more accurate (but I doubt it) smiley
If wanting to use smooth iteration for the colouring you now only need to calculate the value when solid is actually found.


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David Makin
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« Reply #10 on: January 14, 2010, 10:39:15 PM »

with super-high iterations, the 2nd order Mbulb actually looks pretty much like THE Mbulb... smiley

just wondering why no one posted it before... or I missed something?


Way back here:

http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/msg4129/#msg4129

And Lyc's rendering in the gallery:

http://www.fractalforums.com/gallery/?sa=view;id=160


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The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
kram1032
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« Reply #11 on: January 14, 2010, 10:52:18 PM »

I wonder how lyc's image would perform now as a lot was figured out by then.

Saw that pic back in 2008 and immediatedly loved it cheesy
I think, I kinda didn't realize that all the hype started in this forum, else I'd be in here since back then smiley
« Last Edit: January 16, 2010, 06:30:05 PM by kram1032 » Logged
gaston3d
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« Reply #12 on: January 14, 2010, 11:02:58 PM »


I remember them, but they look bit different.
Maybe it's about perspective or as kram1032 said, iteration count.
« Last Edit: January 14, 2010, 11:26:10 PM by gaston3d » Logged
bib
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At the borders...


100008697663777 @bib993
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« Reply #13 on: January 14, 2010, 11:58:43 PM »


Ok, some moar:

the last one is my favourite 2nd order render so far smiley
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TedWalther
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« Reply #14 on: January 15, 2010, 07:22:39 AM »

That is beautiful.  I'd love to see the whole thing from different angles and perspectives.  What if you crank iterations up to 1000?  Need help optimizing the math?  Care to post the code somewhere?  How about the iteration function?  What is the exact formula you are using for iteration?  Just standard mandelbulb?

Ted
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