how to scale the shape which defined by parametric function

%miniProject

%define a love

t = linspace(0, 2*pi, 1000); %parameter t from 0 to 2pi

x = 16 * sin(t).^3; %parameter function for love (searching from google)

y = 13 * cos(t) - 5 * cos(2*t) - 2 * cos(3*t) - cos(4*t);

figure

plot(x, y, 'r', 'LineWidth', 2);

axis equal;

axis([-200 200 -200 200]);

grid on;

pause(0.1)

% 调用 translateShape 函数进行平移

translatedLove = translateShape(x,y,5);

hold on;

plot(translatedLove, 'b', 'LineWidth', 2);

legend('originalshape', 'translatedLove');

hold off;

function translatedShape = translateShape(x, y, scale)

% t: parameter

% x, y: coordinates of the original shape

% scale: scaling factor

translatedShape = [x * scale, y * scale]

end

Answer 1

[Sonesson]

Hello Jlayun,

The main issue you have here is that you are putting the x and y row vectors into the same row (making the vector 1x2000), and then plotting that row.

Replace the comma with a semicolon in the translateShape() function:

function translatedShape = translateShape(x, y, scale)
    % t: parameter
    % x, y: coordinates of the original shape
    % scale: scaling factor
    translatedShape = [x * scale; y * scale];
end

This will make the vector 2x1000 instead. Then update the plot to reflect this change:

plot(translatedLove(1,:),translatedLove(2,:), 'b', 'LineWidth', 2);

[JIayun]

thank you so much!