how plot a correct interpolation with surf plot?

Im using the code:

load A_PRE.mat; %find it attached
load Aelec.mat; %find it attached
figure(1)
X=A_PRE(:,1);  Y=A_PRE(:,4); Z=A_PRE(:,5);
[xq,yq]=meshgrid(linspace(min(X),max(X),100),linspace(min(Y),max(Y),100));
zq=griddata(X,Y,Z,xq(:),yq(:),'linear');
[c,h]=contourf(xq,yq,reshape(zq,100,100),'LineStyle','none','LevelStep',100); 
hold on
plot(cotas(:,1),cotas(:,2),'k','linewidth',4) %elevation data
hold on
scatter(X,Y,'filled','k')
figure(2)
plot3(Aelec(:,2),Aelec(:,3),Aelec(:,4),'k','linewidth',2);
hold on
scatter3(A_PRE(:,2),A_PRE(:,3),A_PRE(:,4),'filled','k')
hold on
level=A_PRE;
x = level(:,2);  y = level(:,3); z = level(:,4); c = level(:,5);
yv = linspace(min(level(:,3)), max(level(:,3)), 100); 
zv = linspace(min(level(:,4)), max(level(:,4)), 100);
[Y,Z] = meshgrid(yv, zv);
X = griddata(y,z,x,Y,Z,'cubic'); 
C = griddata(y,z,c,Y,Z,'cubic');
yA = Aelec(:,3); zA = Aelec(:,4);
in = inpolygon(Y,Z,yA(1:end-1),zA(1:end-1));
Z(in) = nan;
surf(X, Y, Z, 'cdata',C);
shading interp

for plotting the contour:

using surf function and using X and Y coordinates for its location, but when a use the same view of the 2D contour it seems to be interpolated wrong, any ideas about what could be my mistake? how could a I get a contour plot for figure 2 as similar than figure 1.

As you see, the yellow values seems to be affected with the other data using surf plot, any idea about how to obtain the interpolation plot as similar as fig 1? Thanks in advance

Answer 1

[darova]

It happens because of different scales of data. Don't know why MATLAB get confused about it (even linear interpolation)

scale and center your data before interpolation

sc = (max(z)-min(z))/(max(y)-min(y));
y = y - mean(y);
x = x - mean(x);
y = y*sc;
x = x*sc;
yv = linspace(min(y), max(y), 50); 
zv = linspace(min(z), max(z), 50);
[Y,Z] = meshgrid(yv, zv);
X = griddata(y,z,x,Y,Z,'cubic'); 
C = griddata(y,z,c,Y,Z,'cubic');

[Philippe Corner]

You are amazing man, you really understand deeply the functions. You are helping me a lot with this understanding. Thanks a lot I really appreciate your time.

The only thing here is that we have to "sacrify" plotting with the right coordinates.. and use in the final plot the scaled valies, right?

[darova]

You can scale them back

sc = (max(z)-min(z))/(max(y)-min(y));
y0 = mean(y);
x0 = mean(x);
y = (y-y0)*sc;
x = (x-x0)*sc;
yv = linspace(min(y), max(y), 50); 
zv = linspace(min(z), max(z), 50);
[Y,Z] = meshgrid(yv, zv);
X = griddata(y,z,x,Y,Z,'cubic');            % made a mistake before
C = griddata(y,z,c,Y,Z,'cubic');            % made a mistkae before
Y = Y/sc + y0;                              % scale back
X = X/sc + x0;
surf(X,Y,Z,'cdata',C)                       % plot original

[Philippe Corner]

Oh man, as we say in my country. you are crack! haha you rock man, amazing, thanks!