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cKleinhuis
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« on: April 24, 2013, 10:17:30 AM » |
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divide and conquer - iterate and rule - chaos is No random!
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taurus
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« Reply #1 on: April 24, 2013, 01:23:56 PM » |
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this is really impressive. seems to be a particle - finite elements - voxel solution. The most convincing example I've seen so far.
<![CDATA[<a href="http://www.youtube.com/v/6WZZARzpckw&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/6WZZARzpckw&rel=1&fs=1&hd=1</a>]]> |
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« Last Edit: April 24, 2013, 01:26:37 PM by taurus66 »
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when life offers you a lemon, get yourself some salt and tequila!
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cKleinhuis
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« Reply #2 on: April 24, 2013, 01:37:55 PM » |
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yes, they are using particles, this has the immense benefit that it is not bounded to a certain area, and can as seen in the example really flood a room or create smaller ponds from a bucket of water, i really like it very much!!!
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divide and conquer - iterate and rule - chaos is No random!
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jehovajah
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« Reply #3 on: April 25, 2013, 12:32:42 AM » |
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In fluid simulation, enforcing incompressibility is crucial for realism; it is also computationally expensive. Recent work has improved efficiency, but still requires time-steps that are impractical for real-time applications.
In this work we present an iterative density solver integrated into the Position Based Dynamics framework (PBD). By formulating and solving a set of positional constraints that enforce constant density, our method allows similar incompressibility and convergence to modern smoothed particle hydrodynamic (SPH) solvers, but inherits the stability of the geometric, position based dynamics method, allowing large time steps suitable for real-time applications.
We incorporate an artificial pressure term that improves particle distribution, creates surface tension, and lowers the neighborhood requirements of traditional SPH. Finally, we address the issue of energy loss by applying vorticity confinement as a velocity post process This iterative solver is none other than a fractal generator by another name! The power of the fractal generators is now being exploited to produce results like this. Of course, you need a graphics processor to generate all the image sets, but it is not the technology it is the app! Calling it an algorithm is again hiding the fact that fractal generators are at the heart of this. Moving the fluid about the room is an animation issue. Generating the physics ia a additional step but mapping the surface onto the physics and animation is down to good old fractal generators. |
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« Last Edit: April 25, 2013, 12:47:55 AM by jehovajah »
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
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cKleinhuis
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« Reply #4 on: April 25, 2013, 07:31:48 AM » |
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In my eyes it is unneccessary to say it is fractal, iteration induces chaos, it is an chaotic process that is used for this, mostly uncontrollable numerics are considered problematic but at the heart it is an iterative process and knowledge from fractals shall be used to analyze it for example the non mandelbrot regions are the problematic regions of such a solver because they explode it is desirable that such a solver keeps everything in the non escaping area . . .  my five cents! |
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divide and conquer - iterate and rule - chaos is No random!
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taurus
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« Reply #5 on: April 25, 2013, 09:23:46 AM » |
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I guess this is called non linear dynamics and indeed this is automatically considered to be fractal, like the triangulation of a sphere is considered to be euclidean without someone pointing out.
The point is, that they went beyond the academic part and made it look nice and realistic...
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when life offers you a lemon, get yourself some salt and tequila!
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jehovajah
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« Reply #6 on: April 25, 2013, 09:36:16 AM » |
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Recursion and iteration are such unfriendly terms, but I agree with you on point of fact. However, the fractal generator is accessible to most people, even if like me, they do not fully know how the whole algorithms work in detail. Artistically this is great, because it is a delight to see the wonderful effects that are possible.
Artisans however increase in skill , knowledge and precision, and as they do they learn the value of distinguishing things. The fusion of Ed Lorenz teal and Mandelbrot et al has given us a new scale free appreciation of spatial relationships in matter that fully acknowledge discretisation and contiguity as a counterpoint to continuity. Fluid mechanics is right on the cusp of the notions of continuity and contiguity.
Fractal in its general sense captures for me this ordered chaos, which is why I use it so much. But the fractal generator is an underrated set of algorithms until now. Often I see in science programmes super duper computers calculating trajectories for say black hole star interactions and the resultant graphic is a trochoid or a complex fractal pattern recogniseable from some experimental Julia or Mandy run I have done.
I want to encourage artists to use a fractal generator because they will understand that scientists actually formulate in the same way they do and get similar results! And I want scientists to get their heads out of the belief system that the complexities and strangeness of interactions require high tec machines, millions of euros even billions to come to essential descriptions of interactions. They can indulge their artistic impulses and do science with a humble fractal generator!
That's my hope. That people will come together and celebrate the wonders around them from all disciplines because of fractals and the Butterfly effect.
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« Last Edit: April 25, 2013, 10:01:34 AM by jehovajah »
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
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cKleinhuis
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« Reply #7 on: April 25, 2013, 09:54:44 AM » |
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I want to encourage artists to use a fractal generator because they will understand that scientists actually formulate in the same way they do and get I liar results! And I want scientists to get their heads out of the belief system that the complexities and strangeness of interactions require high tec machines, millions of euros even billions to come to essential descriptions of interactions. They can I bulge their artistic impulses and do science with a humble fractal generator!
That's my hope. That people will come together and celebrate the wonders around them from all disciplines because of fractals and the Butterfly effect.
in fact this is going to be the content of my upcoming mexico speech in end of may, i am pointing out that both scientists and artists are doing so great because they are applying extraordinary creativity, on the one hand scientists are creative with their limited sets of rules, thinking out of the box brings new ideas but in the well limited area of the scientific language, then i am going to talk about artists that with no real limitations exploit the current state of science, as for example can be seen in electronic music, which exploits the computational scientific possibilities to create music, to go further back you can count in the churches or cathedrals as well, because they where exploiting the state of architecture in each new building ... which brings us to fractals ... fractals open up the infinity possibilities we observe here, although a pure scientifical achievement nowadays scientists and artists use the same tools to create tremendous outputs ... if anyone wants to point me to some interesting stuff regarding this i am delighted to include it in my speech... |
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divide and conquer - iterate and rule - chaos is No random!
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jehovajah
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« Reply #8 on: April 25, 2013, 10:19:37 AM » |
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Christian, it may be obvious, but do not forget the animators! We have grown accustomed to such realistic CGI that we forget the artists behind all of it! Yes there may be masses of computation, but it is their conception that pushes the envelope, and often inspires musicians, just as they are inspired by "natural " motions.
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« Last Edit: April 25, 2013, 02:00:31 PM by jehovajah »
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
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cKleinhuis
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« Reply #9 on: April 25, 2013, 10:39:19 AM » |
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computer games, electronic music, computer graphics animations, digitial photo retouch, cinema movies all expression of the same, artists just use what is possible, and in many cases where never meant for art, as the 3d fractals here in the forums prove as well, it was the artists that pushed the development of 3d fractals and hybrids, but it where the "scientists" that discovered the formulas....
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divide and conquer - iterate and rule - chaos is No random!
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December 24, 2008, 05:17:01 AM
Improved Mandelorth formula test
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