END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

Hello

Ok, I am not rendering any more mandelbulbs cause one of them freaked me out.

However the last thing I came up with is that if you add a scalar product to the analytical DE method
it becomes directional as the Delta DE, and I wanted to share this.

This is very preliminary.. I will not test anymore though..

So the Idea is just to change the derivative in the DE method to a directional one..you can do this
simply by taking the scalar product with the direction of the current ray.

Then it should be almost the same as Bhuddis delta DE , but with the recursive derivative.


dist = 0.5*|Zn|*log|Zn|/abs(dot(Zn',direction))

Direction is normalized ray direction..

For me it only worked if I first ran the ordinary omni directional DE method until I was close..then I changed to the directional one. Rays that never intersect can give infinite distance.

With recursive derivative I mean the usual one..
Zn'+1 = P*Zn^(P-1)*Zn' + 1

Hope someone can explore this further..