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Author Topic: Mandelbrot 3D slope tests  (Read 1196 times)
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Kalles Fraktaler
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« on: December 05, 2014, 08:59:54 PM »

Maybe all of you have seen this many times before

<a href="https://www.youtube.com/v/ztm5YtY3thE&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/ztm5YtY3thE&rel=1&fs=1&hd=1</a>

Zooming is not easy because since the distance between two pixels decreases per frame, the slope tilt also decreases.

<a href="https://www.youtube.com/v/xbzUWGTxIek&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/xbzUWGTxIek&rel=1&fs=1&hd=1</a>
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TheRedshiftRider
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« Reply #1 on: December 05, 2014, 09:20:30 PM »

It looks great.
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kubinator4321
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« Reply #2 on: December 05, 2014, 09:42:34 PM »

 very surprised

Seriously, this zoom looked great. I guess I underestimated the iteration-based sloping. Great job in making that.
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superheal
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« Reply #3 on: December 06, 2014, 02:54:35 PM »

That's really nice!

Can you share the algorithm you used to create that effect?!
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Chillheimer
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« Reply #4 on: December 06, 2014, 06:03:02 PM »

very, very cool!
I really look forward to the next version!
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Kalles Fraktaler
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« Reply #5 on: December 06, 2014, 08:15:09 PM »

That's really nice!

Can you share the algorithm you used to create that effect?!
Thanks

Here is the algorithm, it normalizes the quote of the nearby pixels with atan.
Code:
// put the ratio of the current pixel p1 with the next p2 in the variable diff
diff = p1/p2;
// raise this value with nSlopePower
diff = diff^nSlopePower
if(diff>1){
// make the diff value between 0 and 1
diff = (atan(diff)-pi/4)/(pi/4);
color = (1-diff)*color + diff*black
}
else{
diff=1/diff;
diff = (atan(diff)-pi/4)/(pi/4);
color = (1-diff)*color + diff*white;
}

However it is not suitable for zoom Movies, because if the joints should not be visible, the nSlopePower needs to grow exponetially as a zoom goes deeper, actually the same value as the magnification. This is since the slope is calculated from nearby pixels, the distance between nearby pixels is decreasing exponentially. It get ridiculus already at 1e5 eliminating all gradients on the shadows.
very, very cool!
I really look forward to the next version!
If it is OK for still images only, I can add it right away.
The rotating zoom movie I created by render frames for each Movie frames, and used my first movie assembler program, if you remember that one, from jpeg images...
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mclarekin
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« Reply #6 on: December 07, 2014, 03:52:50 AM »

Impressive. That slope test2 maybe the best I've ever seen smiley smiley smiley.
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