2D projection of 3D curve

I am beginner and just know how to plot 3D and 2D seperately, but i want to plot complex exponential functions, that requires 3D curves with their 2D projections somewhat like the file attached, please help me.

Answer 1

[Ameer Hamza]

The following code will give you an idea how to plot such a thing in MATLAB. You can run this code to draw a sample graph but mainly focus on last 3 lines since they are relevant for projection on a 2D plane.

y=0:0.1:80;
x = y/50.*cos(y);
z = y/50.*sin(y);
plot3(x,y,z, 'LineWidth', 2)
grid on
xlabel('x')
ylabel('y')
zlabel('z')
ylim([0, 100])
xlim([-2 2]);
zlim([-2 2]);

hold on
plot3(x, 100*ones(size(y)), z, 'LineWidth', 2); % project in x-z axis at y=100
plot3(2*ones(size(x)), y, z, 'LineWidth', 2); % project in y-z axis at x=2
plot3(x, y, -2*ones(size(x)), 'LineWidth', 2); % project in y-z axis at z=-2

[Jan]

+1. A very nice example.

[Shafeo junejo]

Thanku for the response, i have been trying to use this code, this doesn't work.

[Ameer Hamza]

What is the error you are getting, on running this code?

[Jan]

@Shafeo junejo: There is just a small typo concerning "t" and "y".

y = 0:0.1:80;
x = y / 50 .* cos(y);
z = y / 50 .* sin(y);

[Ameer Hamza]

@Jan, thanks for pointing out the typo.

[Shafeo junejo]

Thankyou so much :)

[Jan]

@Shafeo junejo: If this answer solves your problem, please accept it.

[Naveen Pathak]

Hi Jan,

I have a simliar problem. Please, could you help me to understand how to do the following:

https://www.mathworks.com/matlabcentral/answers/815765-2d-projection-of-a-3d-f-x-y-z-plot?s_tid=srchtitle

Thank you.