x,y,z values in 3d plot

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Francesco Marchione
Francesco Marchione 2021-11-20
评论： Star Strider 2021-11-20
Ran in:
Could you please help me in getting a 3d plot showing the extreme coordinates for x, y?
I want also to indicate the preferred interval for z values.
I attach the Star's code I used and the correct excel file.
Thanks !
T1 = readtable('URM_shear_EPX1.xlsx', 'VariableNamingRule','preserve');
% First10Rows = T1(1:10,:)
% T1Sz = size(T1)
VarNames = T1.Properties.VariableNames;
N = 50; % Interpolation Matrix Size
xv = linspace(min(T1{:,1}), max(T1{:,1}), N); % Create Vector
yv = linspace(min(T1{:,2}), max(T1{:,2}), N); % Create Vector
[Xm,Ym] = ndgrid(xv,yv); % Create Interpolation Matrices
Zm = griddata(T1{:,1}, T1{:,2}, T1{:,3}, Xm, Ym); % Interpolate
Warning: Duplicate data points have been detected and removed - corresponding values have been averaged.
figure
surfc(Xm, Ym, Zm)
grid on
shading interp
set(0, 'DefaultTextInterpreter', 'latex')
hcb = colorbar;
xlabel(hcb,'[{\it Pa}]');
hcb.Label.Interpreter = 'latex';
set(hcb,'TickLabelInterpreter','latex')
colormap(jet(50))
title ('EPX1','FontSize',11,'interpreter', 'latex')
set(0, 'DefaultTextInterpreter', 'latex')
hcb = colorbar;
hcb.TickLabelInterpreter='latex';
ColorbarRulerProperties = hcb.Ruler
ColorbarRulerProperties =
NumericRuler with properties: Limits: [-0.6692 8.1822] Scale: 'linear' Exponent: 0 TickValues: [0 1 2 3 4 5 6 7 8] TickLabelFormat: '%g' Show all properties
hcb.Ruler.TickLabelFormat = '%.2f';
% set(hcb, 'Ticks', sort([hcb.Limits, hcb.Ticks]))
%%%%%%%%%%%%
Nticks = 10; % define number of ticks displayed in colorbar
aa = hcb.Limits;
CBAR_ticks = linspace(aa(1),aa(2),Nticks);
set(hcb, 'Ticks', CBAR_ticks);
%%%%%%%%%%%%
set(gca,'TickLabelInterpreter','latex')
% tix = hcb.Ticks;
% expstr = @(x) [x(:).*10.^ceil(-log10(abs(x(:)+(x==0)))) floor(log10(abs(x(:)+(x==0))))];
% tixexp = expstr(tix(:))
% tixexplbl = compose('%.2f \\times 10^{%2d}',[tixexp(:,1) fix(tixexp(:,2))])
% hcb.TickLabels = tixexplbl;
xlabel('{\it x} [{\it mm}]')
ylabel('{\it y} [{\it mm}]')
zlabel('{\it} Shear stress [{MPa}]')
  3 个评论
显示 1更早的评论
Walter Roberson
Walter Roberson 2021-11-20
Ran in:
I was concerned about your duplicate data warning
filename = 'https://www.mathworks.com/matlabcentral/answers/uploaded_files/807734/URM_shear_EPX1.xlsx';
T1 = readtable(filename, 'VariableNamingRule','preserve');
x = T1{:,1}; y = T1{:,2}; z = T1{:,3};
xy = [x,y];
size(xy)
ans = 1×2
46208 2
[uxy, ia, ~] = unique(xy, 'rows');
size(uxy)
ans = 1×2
11781 2
ux = x(ia); uy = y(ia); uz = z(ia);
subplot(2,1,1);
scatter3(x, y, z);
xlabel('x'); ylabel('y'); zlabel('z');
title('full data');
subplot(2,1,2);
scatter3(ux, uy, uz);
xlabel('x'); ylabel('y'); zlabel('z');
title('first unique data');
uxyz = unique([x, y, z], 'rows');
size(ux)
ans = 1×2
11781 1
size(uxyz)
ans = 1×2
11781 3
So it turns out that you have a lot of duplicated data points (more than 2/3 are duplicates.) But it also turns out that they are complete duplicates in each case: in every case where a particular x, y pair is duplicated, the z have exactly the same value.
This tells us that you should probably pull out the components of uxyz to use in the data gridding, just to be cleaner, but that in this particular case it will not make a difference.
In most cases where you see that warning message, it indicates that you have two different z values associated with the same grid point, and that can spoil meaningful interpolation.
Francesco Marchione
Francesco Marchione 2021-11-20
I would like to see in the graph the x values from 0 to -25.40 mm (i.e., I would like to see these extreme values represented), and the y extreme values as well.
I would also like to decide the interval of z values to plot.

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采纳的回答

Star Strider
Star Strider 2021-11-20
Ran in:
Perhaps this —
T1 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/807724/URM_shear_EPX1.xlsx', 'VariableNamingRule','preserve');
Extremes = varfun(@(x)[min(x); max(x)], T1);
Extremes.Properties.RowNames = {'Minimum','Maximum'}
Extremes = 2×3 table
Fun_X Coordinate (mm) Fun_Z Coordinate (mm) Fun_Shear Stress (MPa) _____________________ _____________________ ______________________ Minimum -12.533 -25.066 -0.68366 Maximum 0.167 0.334 8.5386
% First10Rows = T1(1:10,:)
% T1Sz = size(T1)
VarNames = T1.Properties.VariableNames;
N = 50; % Interpolation Matrix Size
xv = linspace(min(T1{:,1}), max(T1{:,1}), N); % Create Vector
yv = linspace(min(T1{:,2}), max(T1{:,2}), N); % Create Vector
[Xm,Ym] = ndgrid(xv,yv); % Create Interpolation Matrices
Zm = griddata(T1{:,1}, T1{:,2}, T1{:,3}, Xm, Ym); % Interpolate
Warning: Duplicate data points have been detected and removed - corresponding values have been averaged.
figure
surfc(Xm, Ym, Zm)
grid on
shading interp
set(0, 'DefaultTextInterpreter', 'latex')
hcb = colorbar;
xlabel(hcb,'[{\it Pa}]');
hcb.Label.Interpreter = 'latex';
set(hcb,'TickLabelInterpreter','latex')
colormap(turbo(50))
title ('EPX1','FontSize',13,'interpreter', 'latex')
set(0, 'DefaultTextInterpreter', 'latex')
hcb = colorbar;
hcb.TickLabelInterpreter='latex';
ColorbarRulerProperties = hcb.Ruler;
hcb.Ruler.TickLabelFormat = '%.2f';
% set(hcb, 'Ticks', sort([hcb.Limits, hcb.Ticks]))
%%%%%%%%%%%%
Nticks = 10; % define number of ticks displayed in colorbar
aa = hcb.Limits;
CBAR_ticks = linspace(aa(1),aa(2),Nticks);
set(hcb, 'Ticks', CBAR_ticks);
%%%%%%%%%%%%
set(gca,'TickLabelInterpreter','latex')
% tix = hcb.Ticks;
% expstr = @(x) [x(:).*10.^ceil(-log10(abs(x(:)+(x==0)))) floor(log10(abs(x(:)+(x==0))))];
% tixexp = expstr(tix(:))
% tixexplbl = compose('%.2f \\times 10^{%2d}',[tixexp(:,1) fix(tixexp(:,2))])
% hcb.TickLabels = tixexplbl;
xlabel('{\it x} [{\it mm}]')
ylabel('{\it y} [{\it mm}]')
zlabel('{\it} Shear stress [{MPa}]')
.
  4 个评论
显示 2更早的评论
Francesco Marchione
Francesco Marchione 2021-11-20
Many thanks for your help. Francesco
Star Strider
Star Strider 2021-11-20
My pleasure!
If my Answer helped you solve your problem, please Accept it!
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