koch曲线与koch雪花的MATLAB实现

代码

 % --

 function koch(Ax, Ay, Bx, By)

 % 控制递归深度

 Deepth = ;

 % 控制图画大小

 Size = ;

 if ((Bx-Ax)^ + (By-Ay)^) < Deepth

    plot([Ax, Bx], [Ay, By], '-r')

    hold on

    axis([ Size  Size]);

 else

     Cx = Ax + (Bx-Ax)/;

     Cy = Ay + (By-Ay)/;

     Dx = Bx - (Bx-Ax)/;

     Dy = By - (By-Ay)/;

     koch(Ax, Ay, Cx, Cy);

     koch(Dx, Dy, Bx, By);

     L = sqrt((Dx-Cx)^ + (Dy-Cy)^);

     alpha = atan((Dy-Cy)/(Dx-Cx));

     % 数学

     if (alpha>= && Dx-Cx<) || (alpha< && (Dx-Cx)<)

        alpha = alpha + pi;

     end

     Ex = Cx + cos(alpha + pi/)*L;

     Ey = Cy + sin(alpha + pi/)*L;

     koch(Cx, Cy, Ex, Ey);

     koch(Ex, Ey, Dx, Dy);

 end

 end

 % matlab的单步调试有助于理解该递归

 % 可通过设置断点观察图形是如何一步一步被画出来的

koch曲线

koch雪花