Logo by KRAFTWERK - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Visit us on facebook
 
*
Welcome, Guest. Please login or register. September 24, 2021, 07:30:23 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Classic Mandelbrot Set in 3D GIF animations  (Read 2370 times)
0 Members and 1 Guest are viewing this topic.
in4ur
Forums Freshman
**
Posts: 10


« on: September 09, 2014, 10:17:49 PM »

When I found an algorithm to extend the boundaries of the classic Mandelbrot Set to a third dimension, decided to create stereo images to enjoy the best 3D experience on a 3D TV, Oculus Rift or similar equipment. But... not many people can view images that way.

Recently, some users’ videos and animations made me think about how to show –a kind of– depth on any screen. Finally, I’ve made GIF animations moving smoothly (for more visual information) the “camera” position over the Set. It isn’t a true 3D experience like viewing side-by-side stereo images but, at least, shows the adding of the Z-Axis.

Here are some examples:

Image center: -1.941640269078771 + 0.000602115080593i. Width (real part): 3E-12





Typical Mandelbrot scene centered at 0.265023998510935 - 0.003027471362988i. Width (real part): 8.05872E-10





It can also be applied to Julia Sets (or any time-escape 2D fractal) like this. C = -0.7813 + 0.159i



Logged
bib
Global Moderator
Fractal Senior
******
Posts: 2070


At the borders...


100008697663777 @bib993
WWW
« Reply #1 on: September 09, 2014, 10:47:36 PM »

Lovely effect, very intriguing!
Logged

Between order and disorder reigns a delicious moment. (Paul Valéry)
Syntopia
Fractal Molossus
**
Posts: 681



syntopiadk
WWW
« Reply #2 on: September 09, 2014, 10:50:08 PM »

Looks great - I haven't seen anything like these before.

I imagine the depth is based on a smoothened escape radius, or something similar, but how do you render these things and how fast is it? Are they truly 3D, or does this only work for small camera deviations?
Logged
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 7044


formerly known as 'Trifox'


WWW
« Reply #3 on: September 09, 2014, 11:22:35 PM »

i like the effect and the idea behind it very much as well, can you elaborate more what you do ? i think you apply an horizontal offset to the iteration bands after the image is completed, how do you avoid black-banding e.g. when one band is moved to far and space is created between 2 bands? or do you make it in a way of a depth texture that is warped in a post process ? wink
Logged

---

divide and conquer - iterate and rule - chaos is No random!
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 7044


formerly known as 'Trifox'


WWW
« Reply #4 on: September 09, 2014, 11:23:17 PM »

i think this effect would benefit from a circular instead of a just horizontal movement
Logged

---

divide and conquer - iterate and rule - chaos is No random!
3dickulus
Global Moderator
Fractal Senior
******
Posts: 1558



WWW
« Reply #5 on: September 09, 2014, 11:35:26 PM »

wow, I know its 2D but my brain says it's 3D  afro  reminds me of the effect of not enough sleep and too much hacking  wink
Logged

Resistance is fertile...
You will be illuminated!

                            #B^] https://en.wikibooks.org/wiki/Fractals/fragmentarium
KRAFTWERK
Global Moderator
Fractal Senior
******
Posts: 1439


Virtual Surreality


WWW
« Reply #6 on: September 10, 2014, 08:44:30 AM »

WOW!

I'd love to 3D print that second one as a "shell", would be nice to see how those spirals looks on the "backside"...

Is it possible to export as a voxel-stack or mesh as 3D? ...or is it only a "constructed" 3D effect?
Logged

cKleinhuis
Administrator
Fractal Senior
*******
Posts: 7044


formerly known as 'Trifox'


WWW
« Reply #7 on: September 10, 2014, 09:07:31 AM »

he seems to use the iteration bands as separated layers and moves them according to the iteration depth ... i think the effect could be created with a normal frctal rendering software to get the slices, just increase the iteration count in every slice, which should give you an eroded or deepened minibrot wink 3d prints with moving parts would be awesome wink

Logged

---

divide and conquer - iterate and rule - chaos is No random!
Alef
Fractal Supremo
*****
Posts: 1174



WWW
« Reply #8 on: September 10, 2014, 04:45:15 PM »

Ha ha, nice. Some darkening in the insides would be more nice but movement too gives nice feel of 3D-ness.
Logged

fractal catalisator
in4ur
Forums Freshman
**
Posts: 10


« Reply #9 on: September 10, 2014, 08:08:18 PM »

Sorry for the delay in answering, but my English level doesn’t allow me to reply quickly and well (or attempting to do so) at the same time.

The idea of the 3D Mandelbrot rendering appeared as an answer to the questions: what if classic Mandelbrot is a 2D photo of a 3D landscape and the hidden axis is the escape time of each point? How would it look like if we see it from two points of view (the eyes) instead of one for a binocular vision of the Set and distance perception through parallax variations? This reflects in a “simple” and elegant algorithm (in my very subjective opinion ;-P) that calculates the view from a selected camera position and generates stereo images (http://www.flickr.com/photos/in4ur/) for a full and detailed 3D experience on the right equipment. I have created animated GIFs only as a way to introduce the effect to anyone on any screen.

The algorithm is a variation/ampliation of the standard time-escape procedure that adds and modifies (apart from variable declarations) 10-15 lines of code. There is no post-processing at all and the calculation is done by a less_than_80_lines_of_code C routine, including the creation and recording of the resulting image on a BMP file; just because is one of the easiest image formats. The only “special feature” is supersampling 4x4 to reduce noise.

Each stereo image or frame takes around 10 times the time required to calculate a classic Mandelbrot one, but depends on the parameters values. The method has some similarities with ray-tracing and applies to points and pixels. The resulting iteration bands for each point of view are a consequence of the calculations with the pixels. I don’t think the moving bands approach would work. The bands have to modify their shape according with the perspective, the mentioned black-banding issue... Ufff!

Is it truly 3D? Good question. If you look at a strange landscape through a window, are you viewing it in 3D? You perceive parallax, distances and the 3D shapes of the visible parts of the objects, but you can’t create complete 3D models of them due to the lack of information. The same occurs with the 3D extension of the Mandelbrot Set. I can calculate exactly or almost exactly how it looks in 3D for small deviations like interocular distances or even moderate ones, but from big deviations you see zones that are “behind” the Mandelbrot Set and the principles in which the 3D extension is based do not provide information about “what’s there”; you have to guess. The algorithm does a good job guessing by simply applying to the unknown the procedure that works with the known, but it doesn’t make miracles. You need more assumptions if you want to complete the model.
Logged
Chillheimer
Global Moderator
Fractal Schemer
******
Posts: 972


Just another fractal being floating by..


chilli.chillheimer chillheimer
WWW
« Reply #10 on: September 10, 2014, 10:40:08 PM »

yeah!
this looks great!
incredible work.. just 10-15 lines of code? wow.


pleeeeaase, go ahed and share the code with kalle so this finds it's way into a (open source) tool that uses pertubation method!
http://www.fractalforums.com/kalles-fraktaler/
this would be so cool in there.. actually it would be a reason to buy an occulus rift for me.. finally really immerse into the mset... smiley
Logged

--- Fractals - add some Chaos to your life and put the world in order. ---
bib
Global Moderator
Fractal Senior
******
Posts: 2070


At the borders...


100008697663777 @bib993
WWW
« Reply #11 on: September 10, 2014, 10:49:13 PM »

WOW!

I'd love to 3D print that second one as a "shell", would be nice to see how those spirals looks on the "backside"...

Is it possible to export as a voxel-stack or mesh as 3D? ...or is it only a "constructed" 3D effect?

My 2 cents: with M3D animation mode in 2D, integer power 2, just changing iteration count between 2 keyframes and with an appropriate B&W color gradient that should be doable to get a nice voxel stack...
Logged

Between order and disorder reigns a delicious moment. (Paul Valéry)
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 7044


formerly known as 'Trifox'


WWW
« Reply #12 on: September 10, 2014, 11:31:02 PM »

use a 2d fractal explorer for rendering, having finer control over color/iteration, but mb3d would suite as well, right, outsidecolor=white, increase iteration for each layer - BUT - better use a smooth coloring, to get a super fine gradient, and then, make 10 layers and place them in a moveable cube so that each layer may be moved for its own cheesy
Logged

---

divide and conquer - iterate and rule - chaos is No random!
in4ur
Forums Freshman
**
Posts: 10


« Reply #13 on: September 12, 2014, 10:00:21 PM »

yeah!
this looks great!
incredible work.. just 10-15 lines of code? wow.

pleeeeaase, go ahed and share the code with kalle so this finds it's way into a (open source) tool that uses pertubation method!
http://www.fractalforums.com/kalles-fraktaler/
this would be so cool in there.. actually it would be a reason to buy an occulus rift for me.. finally really immerse into the mset... smiley

I don’t know what I’ll do.

I’d love to program an Oculus Rift fractal navigator myself, though I’ll have very limited free time in the next months/year and there is a lot to learn about the SDK. Other options are to find someone to collaborate with or, simply, share and publish (somehow) the algorithm and explain how and why it works, which requires more lines than the code itself.

PS. The second development kit for the Oculus Rift is available now. A consumer version of the VR headset is expected by the end of 2015.
Logged
thargor6
Fractal Molossus
**
Posts: 789



WWW
« Reply #14 on: September 12, 2014, 10:19:12 PM »

simple, but really nice effect, love it :-)
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
3D classic mandelbrot Images Showcase (Rate My Fractal) Eric Bazan 4 1080 Last post March 07, 2012, 10:18:48 AM
by zonepatcher
classic mandelbrot;Baroque_Line, Lava_Lichen Images Showcase (Rate My Fractal) Eric Bazan 0 659 Last post March 08, 2012, 03:20:52 PM
by Eric Bazan
Three new - mandelbrot classic Images Showcase (Rate My Fractal) Eric B 0 613 Last post December 14, 2013, 06:46:10 PM
by Eric B
Mandelbrot Classic Zoom part 1 Movies Showcase (Rate My Movie) Kalles Fraktaler 1 723 Last post August 30, 2014, 08:41:36 PM
by Dinkydau
Returned, more Mandelbrot classic Images Showcase (Rate My Fractal) Bazan__Eric 2 686 Last post September 28, 2014, 02:13:07 AM
by Dinkydau

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.17 seconds with 25 queries. (Pretty URLs adds 0.05s, 2q)