Draw lines between two given sets of points

I have two sets of points in 3D. These look for example like:

S1 = {(x1,y1,z1),(x2,y2,z2),...,(xn,yn,zn)}

S2 = {(x1',y1',z1'),(x2',y2',z2'),...,(xn',yn',zn')}

So both sets have the same number of points and I would like to connect them with lines like:

(x1,y1,z1) ---- (x1',y1',z1')

(x2,y2,z2) ---- (x2',y2',z2')

.

.

.

(xn,yn,zn) ---- (xn',yn',zn')

What would be the best way to achieve that at once? I could do that with a for-loop which will plot a line between each two points, but I am asking, if there's a way I could organise the data so that all lines can be plotted at the same time?...

Thanks very much for your help in advance!

Best Regards,

Ahmed Hossam

Answer 1

[Jan]

% Create some test data:
S1 = cell(1, 5);
for k = 1:5, S1{k} = rand(1, 3); end
S2 = cell(1, 5);
for k = 1:5, S2{k} = rand(1, 3); end

M1 = cat(1, S1{:}).';
M2 = cat(1, S2{:}).';
plot3([M1(1, :); M2(1, :)], [M1(2, :); M2(2, :)], [M1(3, :); M2(3, :)]);

Or equivalent:

M1 = cat(3, S1{:});
M2 = cat(3, S2{:});
M  = permute(cat(1, M1, M2), [1, 3, 2]);
plot3(M(:, :, 1), M(:, :, 2), M(:, :, 3))

[Ahmed Hossam]

quiver3 does a good job...