I've finally got my renderer working so I wanted to share and discuss ideas.
First, you can see all of the following in their full 4x X 4k size at
http://mager.smugmug.com/Art/Mandelbulb. Here're are few examples:
6,7, and 8 iterations:
Some analysis of my program shows a lot of time in the function that calculates the {x, y, z} ^ 8. I'm still using a pretty straight forward trig version, because the algebraic versions I've seen don't work for me. One problem is that they all seem to have a division such that the denominator can by zero and therefore cause problems. Does anyone have an algebraic version working? For reference, my function is below (in C#).
private static void VectorToThe8thTrig2(ref double x, ref double y, ref double z)
{
double x2 = x * x;
double y2 = y * y;
double z2 = z * z;
double r2 = x2 + y2 + z2;
double r_pow = Math.Pow(r2, _Power / 2);
double thetaOrder = Math.Atan2(Math.Sqrt(x2 + y2), z) * _Power;
double phiOrder = Math.Atan2(y, x) * _Power;
double sinThetaOrder = Math.Sin(thetaOrder);
x = r_pow * sinThetaOrder * Math.Cos(phiOrder);
y = r_pow * sinThetaOrder * Math.Sin(phiOrder);
z = r_pow * Math.Cos(thetaOrder);
}
March 06, 2011, 09:29:41 PM
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