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Mandelbrot: Use renormalized fractional iteration count to smooth colors

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ronak69 2023-10-21 11:11:38 +00:00 • committed by Andreas Kling
parent 225ed58f7e
commit fa026df892
1 changed files with 7 additions and 2 deletions
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9
Userland/Demos/Mandelbrot/Mandelbrot.cpp
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@ -106,8 +106,13 @@ public:
if (iteration == max_iterations)
return iteration;
auto lz = sqrt(x * x + y * y) / 2;
return 1 + iteration + log(lz / log(2)) / log(2);
// Renormalized fractional iteration count from https://linas.org/art-gallery/escape/escape.html
// mu = n + 1 - log( log |Z(n)| ) / log(2)
auto lz = log(sqrt(x2 + y2));
auto mu = iteration + 1 - log(lz) / log(2);
if (mu < 0)
mu = 0;
return mu;
}
static double linear_interpolate(double v0, double v1, double t)