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Author Topic: High density Mandelbrot zoom  (Read 1162 times)
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Dinkydau
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« on: August 04, 2013, 01:22:23 AM »

<a href="http://www.youtube.com/v/TtLZ6eNU3G0?hd=1" target="_blank">http://www.youtube.com/v/TtLZ6eNU3G0?hd=1</a>

This zoom goes to a high density location. I have tried to create an artificial anti-aliasing effect in the center. The original render is aliased. I overlapped the original render with a copy of it at 50% of width and height and another one at 25% of width and height, with a delay to match the zoom level. The result is 4Î4 anti-aliasing in the center and aliased edges. Example frame:


A better way to achieve this is what kalles fraktaler does: to interpolate more than just 2 rendered frames at the same time. I'm basically trying to do exactly that idea with a workaround.

An even better way to achieve this is something completely different: rendering a log map (known sometimes as side-scrolling zoom) and converting the log map to a normal zoom. Some people on youtube seem to be doing that. Log to linear and linear to log transforms lines into circles and circles into lines, so the result is that the center of the resulting zoom video has the most details with the details decreasing gradually and in a smooth circular shape towards the edges instead of in phases (rendered frames). While this is not as good as having details everywhere, all the time, most attention is usually drawn to the center, so it can be a way to decrease render time significantly at the expense of relatively little viewing experience.

Magnification:
2^161
2.9230032746618058364073696654326 E48

Download original video at 50 Mb/s and 60 fps:
https://mega.co.nz/#!ZlN1XJzZ!AE5WzAkemtl1Z6Vy5kWCyV-cCYR_hz6dSzuaMsHmLKM

Watch on YouTube:
<a href="http://www.youtube.com/v/TtLZ6eNU3G0&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/TtLZ6eNU3G0&rel=1&fs=1&hd=1</a>
« Last Edit: August 04, 2013, 01:25:16 AM by Dinkydau » Logged

Kalles Fraktaler
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kallesfraktaler
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« Reply #1 on: August 04, 2013, 11:14:11 AM »

Beautiful location, and surprisingly large patterns at the end, I was expecting it more noisy.

My program also do kind of gradually antialiasing since only the edges are rendered and the rest i shrinked for each frame. The drawback is that every frame needs to be rendered, many files, it is hard to vary the speed or change frame rate. And it is also hard to correct frames with glitches afterwards. So I am now using the standard power of 2 method for animations with glitch correction.
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Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
hgjf2
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Posts: 456


« Reply #2 on: August 04, 2013, 11:42:05 AM »

Wow! Now the site occur a new corrupt suffix of image "PNG~ORIGINAL"
Cool !!??
 A peacock Sponge Bob happy
I don't heard by the weird name of suffix.
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SeryZone
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Contemplate...


« Reply #3 on: August 10, 2013, 05:27:25 AM »

Thank you very much for idea, Dinkydau! I must say, that log(z) planes is the best variant, fastest zoom technique. But formula is formula! Kalles Fraktaler renders from the back and I must convert to circles FROM THE BACK for anti-aliasing in the center and after draw. Ohhhhhhh... this formulas is too hard)))) 9 months for realising... But I known maximum school math, and I learn many higher math myself. You can ask tthsqe12 for log(z) planes, he will help with this idea.
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zonepatcher
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« Reply #4 on: August 12, 2013, 03:22:52 AM »

excellent zoom
a lot of fun watchin
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Dinkydau
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« Reply #5 on: August 12, 2013, 07:58:31 PM »

thanks
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