![]() ![]() The only slightly tricky point is, that the escape length must be evaluated for the same iteration count, otherwise you get artifacts. (2) \(f’_n(c) = 2f_||\) – while it is not clear to me why this is valid, it work in many cases as we will see:ĭavid Makin and Buddhi suggested (in this thread) that instead of trying to calculate a running, analytical derivative, we could use an numerical approximation, and calculate the above mentioned gradient using the finite forwarding method we also used when calculating a surface normal in post II. With ‘dr’ being the length of the running (complex) derivative: ![]() The last post discussed the distance estimator for the complex 2D Mandelbrot: Previous posts: part I, part II, part III and part IV. ![]()
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