使用Matlab画心形线

先看图片吧

这个心形线的公式为

(x2+y2−1)3−x2y3=0

Matlab代码如下

% 画心形线
% (x^2+y^2-1)^3-x^2*y^3=0
%

ang = 0:0.01:2*pi;

r = zeros(size(ang));
N = length(ang);

r(1) = 1;

syms x y
f = (x^2-1)^3/(x^5) - sin(y)^3 * cos(y)^2;

for i = 2 : N
    f1 = subs(f, y, ang(i));
    rlt = solve(f1);
    rlt = eval(rlt);

    [~, ind] = min(abs(rlt-r(i-1)));
    r(i) = rlt(ind);
end

x = r .* cos(ang);
y = r .* sin(ang);
plot(x,y);