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Delta DE final testDelta DE - testing the limitsQuaternion test *10378
Delta DE - testing the limits
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Description: Created using Ultrafractal.

I decided to test the delta DE method even further and figured that the most "regular" object that would show errors most obviously would be a high magnification of the quaternionic Mandy for z^2+c - so here it is rendered at 640*480 exactly as you see it (it's a png).

Magnification: *2.1582312 e12
DE "solid" value: 1 e-13
delta distance: 1.25 e-14

As you can see it's obviously stretching the limits of "double" accuracy - in particular the real axis is scalloped and the rim of the "horn" is markedly uneven.

Anyone with a fast PC and some spare time is invited to have a go at rendering this one with UF's extended precision set to "always" just to compare the result with this render - if you're interested let me know and I'll send you the formula and the parameter file (though be warned on my 3GHz P4HT it took over an hour with extended precision set to "never").

Total Favorities: 0 View Who Favorited
Filesize: 410.19kB
Height: 480 Width: 640
Keywords: mandy quaternion deep zoom 
Posted by: David Makin October 22, 2009, 01:17:45 AM

Rating: Has not been rated yet.

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