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Welcome to Fractal Forums > Fractal Software > Programming > Metropolis-Hastings Buddhabrot
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Author Topic: Metropolis-Hastings Buddhabrot  (Read 2184 times)
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PurpleBlu3s
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« on: August 01, 2011, 02:40:10 AM »
Hi, I've come back to trying to generate some buddhabrots, and I really want to get some different levels of zoom. I gather that the best way to do this is by using the metropolis-hastings method, but I think I'm not quite understanding it properly as my attempts so far aren't even close to working.

Could anyone point me in the right direction / explain in simple terms how to go about coding it.

Thanks.
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lycium
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« Reply #1 on: August 01, 2011, 02:56:34 AM »
Alex Boswell has written about it here: http://www.steckles.com/buddha/

I've found that a much simpler implementation works well, too.
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PurpleBlu3s
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« Reply #2 on: August 01, 2011, 03:05:03 AM »
In what sense simpler?
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lycium
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« Reply #3 on: August 01, 2011, 03:12:31 AM »
The mutation function can be made a bit simpler, and it seems to still work well. However, M-H sampling should only be used for reasonably deep zooms, as it can be easily outperformed when rendering a large fraction of the set (M-H sampling is a form of rejection sampling, which always increases variance).

I couldn't find any zooms in the set that looked particularly interesting when I tried it back when.
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