MATLAB: Making a surface in 3D space with sample some irregular points

3d plots

Hi
I have a set of points with X, Y and Z. the point shows a Pareto front (they should show a smooth surface). The X, Y, Z of each point is. An example of the point is below. How can I make a surface with with these points? Do I need interpolation? Thank you in advance
0.010,0.053,0.020
0.016,0.040,0.019
0.001,0.087,0.016
0.009,0.042,0.024
0.001,0.079,0.031
0.014,0.071,0.002
0.020,0.024,0.028
0.015,0.061,0.002
0.023,0.015,0.046
0.017,0.033,0.014
0.000,0.090,0.010
0.024,0.046,0.004
0.008,0.079,0.002
0.005,0.025,0.044
0.001,0.115,0.004
0.000,0.116,0.010
0.017,0.043,0.005
0.029,0.011,0.018
0.026,0.025,0.008
0.030,0.047,0.003
0.018,0.036,0.013
0.012,0.047,0.006
0.020,0.028,0.024
0.017,0.037,0.015
0.040,0.017,0.010
0.013,0.072,0.001
0.009,0.094,0.000
0.012,0.043,0.017
0.034,0.010,0.015
0.001,0.117,0.004
0.002,0.078,0.006
0.002,0.056,0.038
0.005,0.045,0.025
0.010,0.050,0.021
0.013,0.037,0.021
0.006,0.118,0.001
0.008,0.096,0.001
0.006,0.067,0.013
0.000,0.061,0.046
0.013,0.066,0.004
0.005,0.026,0.054
0.000,0.101,0.012
0.031,0.019,0.007
0.018,0.022,0.040
0.025,0.032,0.005

Best Answer

You could use the code below as a starting point. First, get rid of the commas and read in your data as follows:
p=[0.010 0.053 0.020
...
0.025 0.032 0.005];
Then find the convex hull:
K = convhull(p);
Finally, plot the surface:
trisurf(K,p(:,1),p(:,2),p(:,3))
The matrix K provides three indices in each row that define a triangle (each index refers to the appropriate row of coordinates in your data matrix). If it doesn't correspond to the surface you want, you'll probably need to create K manually.
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