How do I create a 3 dimensional response surface plot from X Y Z points ?

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ferdi bayram
ferdi bayram 2019-11-17
评论： ferdi bayram 2019-11-18
Hi all,
I am struggling a bit here, and hope somebody could help. I have a set of X Y and Z points and Z is not found by any function of X and Y. In other words, I have independent X Y and Z values and these values are;
X Y Z
288 2.79 7.55
318 4.64 14.28
127 2.31 8.31
132 7.16 17.27
264 2.31 4.32
200 2.60 6.74
268 3.06 15.12
I need to create a response surface plot (contour plot) from these values. I would be so glad and thankful if somebody could help with with that. I am sorry if question is not very clear. If not, I can ask in detail. In sort, I have eight X Y Z independent data and want to create a response surface.
Best Regards,
Ferdi
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ferdi bayram
ferdi bayram 2019-11-18
Hi Shubham,
First of all, thank you for trying to help me. Let me upload a couple of figures to clarify what I want. Since I do not know matlab deeply, I am not sure whether it is something I would be done
ferdi bayram
ferdi bayram 2019-11-18
Here is what exactl what I want and I have done t in minitab program. The problem in here is that there is no scale bar and it is not colorful (red blue yellow to show critical points). That is why I am trying to solve this problem via matlab

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Akira Agata
Akira Agata 2019-11-18
How about using an interpolation? The following is a simple example:
% Apply cubic interpolation
[xGrid,yGrid] = meshgrid(linspace(min(X),max(X)),linspace(min(Y),max(Y)));
zGrid = griddata(X(:),Y(:),Z(:),xGrid(:),yGrid(:),'cubic');
zGrid = reshape(zGrid,size(xGrid));
% Visualize the result
figure
contour(xGrid,yGrid,zGrid,'ShowText','on')
hold on
scatter(X,Y,'ro')
grid on
colorbar
contour.png
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Akira Agata
Akira Agata 2019-11-18
Please try the following:
D = [288 2.79 7.55;
318 4.64 14.28;
127 2.31 8.31;
132 7.16 17.27;
264 2.31 4.32;
200 2.60 6.74;
268 3.06 15.12];
X = D(:,1);
Y = D(:,2);
Z = D(:,3);
% Create 100x100 grid mesh (x,y) points
[xGrid,yGrid] = meshgrid(linspace(min(X),max(X)),linspace(min(Y),max(Y)));
% Interpolation
zGrid = griddata(X(:),Y(:),Z(:),xGrid(:),yGrid(:),'cubic');
zGrid = reshape(zGrid,size(xGrid));
% Fig.1 Contour plot with original data points
figure
contour(xGrid,yGrid,zGrid,'ShowText','on')
hold on
scatter(X,Y,'ro')
grid on
colorbar
% Fig.2 Surf plot
figure
surf(xGrid,yGrid,zGrid)
colormap(jet)
colorbar

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