Plot all lines creating mesh in matlab/octave plot - matlab

Question

I make point plots like this one:
But now I need to plot all the lines between the points as well to create rectangular mesh under a deformation (i.e. do the connection to the closest neighbors in x and y direction - not connect all the points with all the points).
How can I convince matlab/octave to do that?
The code I have used is here:
%T,H,W and k are defined above, it doesn't matter for the plot.
for ii=1:2:H
for jj=1:2:W
k=0.1;
x=jj;
y=ii;
U(ii,jj)=7*exp(0.05*(y-H))*cos(k*x-T);
V(ii,jj)=4*exp(0.1*(y-H))*sin(k*x-T);
X(ii,jj)=jj;
Y(ii,jj)=ii;
end
end
plot(X+U,Y+V,'k.');

Answer 1

A plot as you want it is easily done with mesh(X,Y,Z).
The problem with your code is that you have a lot of zeros in your matrices. These might be intentional. In that case I could provide another solution. But mesh() connects neighboring points in a matrix. Therefore having the 0 in every second line and row would connect every point to (0,0). The easiest way is to just let your ii,jj grow in steps of 1.
%T,H,W and k are defined above, it doesn't matter for the plot.
H = 20;
W = 40;
T = 2*pi;
for ii=1:1:H
for jj=1:1:W
k=0.1;
x=jj;
y=ii;
U(ii,jj)=7*exp(0.05*(y-H))*cos(k*x-T);
V(ii,jj)=4*exp(0.1*(y-H))*sin(k*x-T);
X(ii,jj)=jj;
Y(ii,jj)=ii;
end
end
plot(X+U,Y+V,'k.');
hold on
mesh(X+U, Y+V, zeros(size(X)));