着色曼德布罗集答案

【问题标题】：Coloring mandelbrot set着色曼德布罗集
【发布时间】：2012-01-21 14:26:25
【问题描述】：

我想出了这样的事情：

float MinRe = -2.0f; // real
float MaxRe = 1.0f;
float MinIm = -1.0f; // imaginary
float MaxIm = MinIm + (MaxRe - MinRe) * WindowData.Height / WindowData.Width;

float Re_factor = (MaxRe - MinRe) / (WindowData.Width - 1);
float Im_factor = (MaxIm - MinIm) / (WindowData.Height - 1);

int MaxIterations = 50;
int iter=0;

for (int y = 0; y < WindowData.Height; ++y)
{
    double c_im = MaxIm - y * Im_factor; // complex imaginary
    for (int x = 0; x < WindowData.Width; ++x)
    {
        double c_re = MinRe + x * Re_factor; // complex real

        // calculate mandelbrot set
        double Z_re = c_re, Z_im = c_im; // Set Z = c
        bool isInside = true;

        for (iter=0; iter < MaxIterations; ++iter)
        {
            double Z_re2 = Z_re * Z_re, Z_im2 = Z_im * Z_im;
            if (Z_re2 + Z_im2 > 4)
            {
                isInside = false;
                break;
            }
            Z_im = 2 * Z_re * Z_im + c_im;
            Z_re = Z_re2 - Z_im2 + c_re;
        }

        if(isInside) 
        {
            GL.Color3(0, 0, 0);
            GL.Vertex2(x, y);
        }
    }
}

我尝试了几种方法，但大多数时候都以单色结束，或者整个屏幕具有相同的颜色。

如何正确设置颜色？

【问题讨论】：