Plot vector in a defined line in 3D graph

Hi,

I have a n-by-3 matrix independent of x or y but would like to plot each column with n points as 3D plot along a line.

It should basically look like this, would be the y-coordinate limit, the x-coordinate. The three bold lines are the lines along which I'd like to plot the values of my matrix, so column 1 would be n points along line 1, column 2 n points along line 2, column 3 line 3 and their values should be shown in the z-coordinate.I know every value as well as any angle shown in the picture, but can't think of a proper way to display my data along the lines, as well as tilt the y-coordinate by the angle gamma.

The Matrix is independent from x, y and γ, except for the defined position of each value and I'd like to avoid recalculating the position of every single value.

My code for the plot so far:

 %variables from prior code
n = 31; m = 3; b_veff = 22; g_valpha = 14; S_SmY = randi(5,n,m ); S_SrY = randi(5,n,m ); S_StY = randi(5,n,m );

%grid for x- and y-axis; y axis should be tilted by angle gamma
[x,y] = meshgrid(0:b_veff/(n-1):b_veff,0:g_valpha/2:g_valpha);

%for-loop for three different cases, unimportant for question
for i = 1 : m
    
    z=[S_SrY(:,i) S_SmY(:,i) S_StY(:,i)]'; % each S_S*Y should be plotted along one line as shown above
    
    figure;
    surf(x,y,z)
    
    %%unimportant for issue
    ax = gca;
    ax.XLabel.String = 'face width';
    ax.YLabel.String = 'direction of contact line';
    ax.ZLabel.String = 'Safety factor';
    caxis([0 3])
    title('Local Safety factor, Load Level ',num2str(i));
    cmap = interp1(0:1,[1 0 0 ;0 1 0],linspace(0,1,256));
    axis equal
    colormap(cmap)
    colorbar
end

As you can see, I just plotted the columns as three lines parallel to the y-axis, which is no Use to me, but I'm at the end of my wits, so I am grateful for any help whatsoever.

Thank you in advance

Answer 1

[Binaya]

Hi Arne,

From the posted images, I understand that you want to rotate the lines drawn in the plot on the x-axis by gamma while keeping the z-axis values same.

Please find the below modified code for the plotting the tilted lines in 3D plot:

 %variables from prior code
n = 31; m = 3; b_veff = 22; g_valpha = 14; S_SmY = randi(5,n,m ); S_SrY = randi(5,n,m ); S_StY = randi(5,n,m );

%grid for x- and y-axis; y axis should be tilted by angle gamma
[x,y] = meshgrid(0:b_veff/(n-1):b_veff,0:g_valpha/2:g_valpha);

gamma=15  %Angle to be tilted by

gamma = 15

%Rotating the x and y coordinates by gamma angle
x_rotated = x * cosd(gamma) - y * sind(gamma);
y_rotated = x * sind(gamma) + y * cosd(gamma);

%for-loop for three different cases, unimportant for question
for i = 1 : m
    
    z=[S_SrY(:,i) S_SmY(:,i) S_StY(:,i)]'; % each S_S*Y should be plotted along one line as shown above
    
    figure;
    %%Plot modified for taking rotated x and y coordinates as input
    plot3(x_rotated,y_rotated,z)
    
    %%unimportant for issue
    ax = gca;
    ax.XLabel.String = 'face width';
    ax.YLabel.String = 'direction of contact line';
    ax.ZLabel.String = 'Safety factor';
    caxis([0 3])
    title('Local Safety factor, Load Level ',num2str(i));
    cmap = interp1(0:1,[1 0 0 ;0 1 0],linspace(0,1,256));
    axis equal
    colormap(cmap)
    colorbar
end

I hope this helps

Regards

Binaya