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Contur plot from data

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Francesco Mela
Francesco Mela on 19 Jun 2017
Answered: KSSV on 20 Jun 2017
Hi, I have a big set of data which are in 3 vectors X, Y, Z. Each term of these vector represents the cartesian coordinates of a point [ for point 1 X->X(1), Y->Y(1), Z->Z(1)...], the data are not sort either on X or Y. I want to plot the contur curve for all the points that have the same Z. How can I do?
Thanks!
Data X: 10.00 -10.00 5.00 -5.00 9.89 9.56 9.01 8.26 7.33 6.23 5.00 3.65 2.23 0.75 -0.75 -2.23 -3.65 -5.00 -6.23 -7.33 -8.26 -9.01 -9.56 -9.89 -9.89 -9.56 -9.01 -8.26 -7.33 -6.23 -5.00 -3.65 -2.23 -0.75 0.75 2.23 3.65 5.00 6.23 7.33 8.26 9.01 9.56 9.89 4.80 4.21 3.27 2.08 0.71 -0.71 -2.08 -3.27 -4.21 -4.80 -4.80 -4.21 -3.27 -2.08 -0.71 0.71 2.08 3.27 4.21 4.80 0.00 -0.00 4.16 -4.16 4.16 -4.16 -6.87 6.87 -6.97 6.97 -7.54 7.54 -2.21 2.21 -2.21 2.21 5.88 -5.88 -5.88 5.88 7.85 -7.85 -7.84 7.84 -5.95 5.95 1.75 1.75 -1.75 -1.75 -4.69 4.69 4.69 -4.69 -6.46 6.46 3.70 -3.70 -3.70 3.70 -7.28 7.28 7.02 -7.02 -1.28 -1.28 1.28 1.28 5.74 -5.74 -5.74 5.74 8.06 -8.06 -8.59 8.59 0.00 -0.00 3.35 -3.35 -3.32 3.32 -5.63 5.63 -5.50 5.50 6.18 -6.18 -8.06 8.06 -8.72 8.72 -1.08 -1.08 1.08 1.08 2.99 -2.99 -2.95 2.95 4.76 -4.76 4.75 -4.75 6.04 -6.04 -6.04 6.04 6.85 -6.85 -6.90 6.90 -0.00 0.00 2.65 -2.65 -2.65 2.65 -6.91 6.91 4.97 -4.97 4.97 -4.97 -8.79 8.79 7.21 -7.21 8.09 -8.09
Y: 0.00 0.00 0.00 0.00 -1.49 -2.95 -4.34 -5.63 -6.80 -7.82 -8.66 -9.31 -9.75 -9.97 -9.97 -9.75 -9.31 -8.66 -7.82 -6.80 -5.63 -4.34 -2.95 -1.49 1.49 2.95 4.34 5.63 6.80 7.82 8.66 9.31 9.75 9.97 9.97 9.75 9.31 8.66 7.82 6.80 5.63 4.34 2.95 1.49 -1.41 -2.70 -3.78 -4.55 -4.95 -4.95 -4.55 -3.78 -2.70 -1.41 1.41 2.70 3.78 4.55 4.95 4.95 4.55 3.78 2.70 1.41 -7.64 7.71 6.47 -6.47 -6.47 6.47 3.05 -3.05 -3.25 3.25 0.76 -0.76 7.54 7.54 -7.54 -7.54 5.06 -5.06 5.06 -5.06 1.37 -1.37 2.15 -2.15 -0.99 0.99 5.98 -5.98 -5.98 5.98 -4.06 4.06 -4.08 4.08 1.73 -1.73 7.79 -7.79 7.79 -7.79 4.50 -4.50 4.56 -4.56 -8.52 8.53 -8.52 8.53 6.38 -6.38 6.38 -6.38 2.60 -2.60 -0.48 0.48 -6.19 6.20 5.21 -5.21 5.17 -5.17 -2.61 2.61 2.77 -2.77 -0.41 0.41 3.45 -3.45 1.06 -1.06 -7.12 7.12 -7.12 7.12 6.58 -6.58 6.56 -6.56 5.40 -5.40 -5.40 5.40 3.91 3.89 -3.91 -3.89 5.69 -5.69 5.67 -5.67 8.97 -8.92 8.62 8.62 -8.62 -8.62 -1.91 1.91 7.42 -7.42 -7.42 7.42 -1.78 1.78 0.55 -0.55 3.82 -3.82
Z: 500.00 500.00 100.20 100.20 98.31 63.73 57.43 54.60 53.56 52.88 52.60 52.43 52.36 52.33 52.33 52.36 52.43 52.60 52.87 53.55 54.61 57.37 64.72 97.17 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 100.08 100.00 99.97 99.96 99.96 99.96 99.96 99.97 100.00 100.08 100.30 100.34 100.36 100.36 100.36 100.36 100.36 100.36 100.34 100.30 71.23 349.98 347.70 73.07 73.13 347.72 321.18 107.81 102.82 336.27 280.19 198.41 360.59 360.62 69.68 69.70 350.84 79.29 350.55 79.45 327.64 174.87 355.27 138.82 137.27 180.81 225.82 85.63 85.62 225.84 92.43 221.05 92.57 222.38 242.14 136.01 414.21 63.64 414.23 63.66 404.76 78.80 392.52 79.67 62.90 414.81 62.90 414.82 410.63 67.07 410.56 67.13 387.10 115.22 273.07 345.28 85.75 222.90 221.22 87.53 216.96 88.04 107.89 213.91 210.95 105.61 157.21 180.36 414.15 90.09 384.41 203.35 75.45 310.84 75.46 310.85 312.16 76.14 309.80 76.42 308.50 80.28 80.46 308.05 303.21 302.56 92.62 93.24 430.60 67.12 432.76 66.93 437.21 60.37 440.58 440.58 59.85 59.86 138.17 280.25 434.29 61.89 61.93 434.28 138.78 414.10 248.22 198.83 428.84 81.52

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Accepted Answer

KSSV
KSSV on 20 Jun 2017
Do interpolation with X,Y,Z data to a grid using griddata and then plot contours.
X = [10.00 -10.00 5.00 -5.00 9.89 9.56 9.01 8.26 7.33 6.23 5.00 3.65 2.23 0.75 -0.75 -2.23 -3.65 -5.00 -6.23 -7.33 -8.26 -9.01 -9.56 -9.89 -9.89 -9.56 -9.01 -8.26 -7.33 -6.23 -5.00 -3.65 -2.23 -0.75 0.75 2.23 3.65 5.00 6.23 7.33 8.26 9.01 9.56 9.89 4.80 4.21 3.27 2.08 0.71 -0.71 -2.08 -3.27 -4.21 -4.80 -4.80 -4.21 -3.27 -2.08 -0.71 0.71 2.08 3.27 4.21 4.80 0.00 -0.00 4.16 -4.16 4.16 -4.16 -6.87 6.87 -6.97 6.97 -7.54 7.54 -2.21 2.21 -2.21 2.21 5.88 -5.88 -5.88 5.88 7.85 -7.85 -7.84 7.84 -5.95 5.95 1.75 1.75 -1.75 -1.75 -4.69 4.69 4.69 -4.69 -6.46 6.46 3.70 -3.70 -3.70 3.70 -7.28 7.28 7.02 -7.02 -1.28 -1.28 1.28 1.28 5.74 -5.74 -5.74 5.74 8.06 -8.06 -8.59 8.59 0.00 -0.00 3.35 -3.35 -3.32 3.32 -5.63 5.63 -5.50 5.50 6.18 -6.18 -8.06 8.06 -8.72 8.72 -1.08 -1.08 1.08 1.08 2.99 -2.99 -2.95 2.95 4.76 -4.76 4.75 -4.75 6.04 -6.04 -6.04 6.04 6.85 -6.85 -6.90 6.90 -0.00 0.00 2.65 -2.65 -2.65 2.65 -6.91 6.91 4.97 -4.97 4.97 -4.97 -8.79 8.79 7.21 -7.21 8.09 -8.09] ;
Y = [0.00 0.00 0.00 0.00 -1.49 -2.95 -4.34 -5.63 -6.80 -7.82 -8.66 -9.31 -9.75 -9.97 -9.97 -9.75 -9.31 -8.66 -7.82 -6.80 -5.63 -4.34 -2.95 -1.49 1.49 2.95 4.34 5.63 6.80 7.82 8.66 9.31 9.75 9.97 9.97 9.75 9.31 8.66 7.82 6.80 5.63 4.34 2.95 1.49 -1.41 -2.70 -3.78 -4.55 -4.95 -4.95 -4.55 -3.78 -2.70 -1.41 1.41 2.70 3.78 4.55 4.95 4.95 4.55 3.78 2.70 1.41 -7.64 7.71 6.47 -6.47 -6.47 6.47 3.05 -3.05 -3.25 3.25 0.76 -0.76 7.54 7.54 -7.54 -7.54 5.06 -5.06 5.06 -5.06 1.37 -1.37 2.15 -2.15 -0.99 0.99 5.98 -5.98 -5.98 5.98 -4.06 4.06 -4.08 4.08 1.73 -1.73 7.79 -7.79 7.79 -7.79 4.50 -4.50 4.56 -4.56 -8.52 8.53 -8.52 8.53 6.38 -6.38 6.38 -6.38 2.60 -2.60 -0.48 0.48 -6.19 6.20 5.21 -5.21 5.17 -5.17 -2.61 2.61 2.77 -2.77 -0.41 0.41 3.45 -3.45 1.06 -1.06 -7.12 7.12 -7.12 7.12 6.58 -6.58 6.56 -6.56 5.40 -5.40 -5.40 5.40 3.91 3.89 -3.91 -3.89 5.69 -5.69 5.67 -5.67 8.97 -8.92 8.62 8.62 -8.62 -8.62 -1.91 1.91 7.42 -7.42 -7.42 7.42 -1.78 1.78 0.55 -0.55 3.82 -3.82] ;
Z = [500.00 500.00 100.20 100.20 98.31 63.73 57.43 54.60 53.56 52.88 52.60 52.43 52.36 52.33 52.33 52.36 52.43 52.60 52.87 53.55 54.61 57.37 64.72 97.17 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 500.00 100.08 100.00 99.97 99.96 99.96 99.96 99.96 99.97 100.00 100.08 100.30 100.34 100.36 100.36 100.36 100.36 100.36 100.36 100.34 100.30 71.23 349.98 347.70 73.07 73.13 347.72 321.18 107.81 102.82 336.27 280.19 198.41 360.59 360.62 69.68 69.70 350.84 79.29 350.55 79.45 327.64 174.87 355.27 138.82 137.27 180.81 225.82 85.63 85.62 225.84 92.43 221.05 92.57 222.38 242.14 136.01 414.21 63.64 414.23 63.66 404.76 78.80 392.52 79.67 62.90 414.81 62.90 414.82 410.63 67.07 410.56 67.13 387.10 115.22 273.07 345.28 85.75 222.90 221.22 87.53 216.96 88.04 107.89 213.91 210.95 105.61 157.21 180.36 414.15 90.09 384.41 203.35 75.45 310.84 75.46 310.85 312.16 76.14 309.80 76.42 308.50 80.28 80.46 308.05 303.21 302.56 92.62 93.24 430.60 67.12 432.76 66.93 437.21 60.37 440.58 440.58 59.85 59.86 138.17 280.25 434.29 61.89 61.93 434.28 138.78 414.10 248.22 198.83 428.84 81.52] ;
%%make grid
x0 = min(X) ; x1 = max(X) ;
y0 = min(Y) ; y1 = max(Y) ;
N = 100 ;
[Xg,Yg] = meshgrid(linspace(x0,x1,N),linspace(y0,y1,N)) ;
% do interpolation
Zg = griddata(X,Y,Z,Xg,Yg) ;
% plot contour
contour3(Xg,Yg,Zg,N)

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