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Author Topic: Plotting field lines during iteration...  (Read 2755 times)
Description: A question about an escape condition that results in a field line plot...
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Chris Thomasson
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Posts: 137



« Reply #15 on: March 03, 2015, 02:28:53 AM »

cool paper, yes, line integral convolution is very mighty, i love seeing them in motion ! snapshoting a vector field and seeing its motion distribution is just cool wink

I agree about the paper, and the overall technique. What a great method to help an observer visualize a vector field in a given state of motion.

When I get some more time, I will go ahead implement this!

Thanks again for the heads up.

;^D
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claude
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« Reply #16 on: March 04, 2015, 10:04:51 PM »

I don't think increasing G will help in the long run (as you zoom deeper, I think the required G increases without bound).  This is why I find the method unsatisfactory (a kind of mathematical aesthetics), even though the images look interesting.

The glitch occurs because Z can get really small sometimes, with the following Z being a more regular size.  The iteration count where Z gets small can be visualized using atom domains, see the link Adam posted.
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Chris Thomasson
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Posts: 137



« Reply #17 on: March 04, 2015, 11:15:44 PM »

I don't think increasing G will help in the long run (as you zoom deeper, I think the required G increases without bound).  This is why I find the method unsatisfactory (a kind of mathematical aesthetics), even though the images look interesting.

The glitch occurs because Z can get really small sometimes, with the following Z being a more regular size.  The iteration count where Z gets small can be visualized using atom domains, see the link Adam posted.


I think I most likely have to totally agree with you on this one. Thank you for taking a look, and actually trying it out claude.

I am wondering if G can dynamically scale along with the current zoom scale. Well, now there is a problem, if you set G to the largest number its type can hold, then the escape condition would never trip, right? Humm...

Well, at least this does work for some levels of zooming.

Yikes!

;^o

Need to think a lot more on this...



Thanks again claude!

:^)
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Chris Thomasson
Conqueror
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Posts: 137



« Reply #18 on: March 04, 2015, 11:22:48 PM »

Humm... This is just a shot in the dark, but what if Z was a float and G was a double? Would that avoid the glitch popping its ugly artifacts out wrt zooming into the limits of a float?

Damn!

;^o
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