3D Plotting in MATLAB

How do I create a 3D surface plot of this data

  Voltage 9                       
 
  x  19  20  21  21  21  21  20  20  20  20  18 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  9  9  9  9  9  9  9  9  9  9  9 
 
  Voltage 8                       
 
  x  37  38  38  38  37  37  36  38  37  35  35 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  8  8  8  8  8  8  8  8  8  8  8 
 
  Voltage 7                       
 
  x  58  57  57  57  57  56  57  56  55  56  55 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  7  7  7  7  7  7  7  7  7  7  7 
 
  Voltage 6                       
 
  x  77  78  77  77  77  77  77  78  76  76  76 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  7  7  7  7  7  7  7  7  7  7  7 
 
  Voltage 5                       
 
  x  97  98  97  98  96  96  96  95  95  95  95 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  5  5  5  5  5  5  5  5  5  5  5 
 
  Voltage 3                       
 
  x  137  137  138  139  139  140  140  139  139  140  140 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  3  3  3  3  3  3  3  3  3  3  3 
 
  Voltage 1                       
 
  x  180  180  179  178  178  180  180  180  179  181  181 
 
  y  0  10  30  50  70  90  110  120  140  160  180 
 
  z  1  1  1  1  1  1  1  1  1  1  1 

[Star Strider]

This is a bit confusing. It would definitely help to have data.

Are the individual voltages scalars or vectors?

[Patrick Smith]

Individual voltages are scalars. I measured the potential difference(voltage across) two plates and two point charges along various distances. I measured the voltage between the parallel plates and two point charges for each row and column. which are my x and y values. I do have data look at my post I labeled the votalges, and their x and y values.

[darova]

WHere is Z data?

[Patrick Smith]

The Z data is the voltages which are 9, 8, 7, 6 ,5, 3, 1

[Star Strider]

For what it’s worth —

%   Voltage 9
x9 = [  19  20  21  21  21  21  20  20  20  20  18 ];
y9 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z9 = [  9  9  9  9  9  9  9  9  9  9  9 ];
%   Voltage 8
x8 = [  37  38  38  38  37  37  36  38  37  35  35 ];
y8 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z8 = [  8  8  8  8  8  8  8  8  8  8  8 ];
%   Voltage 7
x7 = [  58  57  57  57  57  56  57  56  55  56  55 ];
y7 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z7 = [  7  7  7  7  7  7  7  7  7  7  7 ];
%   Voltage 6
x6 = [  77  78  77  77  77  77  77  78  76  76  76 ];
y6 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z6 = [  7  7  7  7  7  7  7  7  7  7  7 ];                      % <— Should These Be ‘6’?
%   Voltage 5
x5 = [  97  98  97  98  96  96  96  95  95  95  95 ];
y5 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z5 = [  5  5  5  5  5  5  5  5  5  5  5 ];
%   Voltage 3
x3 = [  137  137  138  139  139  140  140  139  139  140  140 ];
y3 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z3 = [  3  3  3  3  3  3  3  3  3  3  3 ];
%   Voltage 1
x1 =[  180  180  179  178  178  180  180  180  179  181  181 ];
y1 = [  0  10  30  50  70  90  110  120  140  160  180 ];
z1 = [  1  1  1  1  1  1  1  1  1  1  1 ];

X = [x1; x3; x6; x7; x8; x9];
Y = [y1; y3; y6; y7; y8; y9];
Z = [z1; z3; z6; z7; z8; z9];

figure
surf(X, Y, Z)
grid on
xlabel('X')
ylabel('Y')
zlabel('Z')
view(30,30)

Answer 1

[darova]

Use plot3()

% Voltage 9
x9 = [ 19  20  21  21  21  21  20  20  20  20  18 ];
y9 = [ 0  10  30  50  70  90  110  120  140  160  180 ];
%% ---------
% Voltage 1
x1 = [ 180  180  179  178  178  180  180  180  179  181  181];
y1 = [ 0  10  30  50  70  90  110  120  140  160  180];

x = [x9 x8 x7 x6 x5 x3 x1];
y = [y9 y8 y7 y6 y5 y3 y1];
z = [x9*0+9 x8*0+8 x7*0+7 x6*0+6 x5*0+5 x3*0+3 x1*0+1];

plot3(x,y,z,'.r')

Or you can use griddata

xx = linspace(min(x),max(x),20);
yy = linspace(min(y),max(y),20);
[X,Y] = meshgrid(xx,yy);
Z = griddata(x,y,z,X,Y);
surf(X,Y,Z)

[Patrick Smith]

I want to create a 3D surface plot how would I do that? Could you show me please.

[Walter Roberson]

surf() creates a 3D surface plot.

[Patrick Smith]

I don't know how to use surf and you deleted my last question which had all my data correctly organized. I need help getting the solution. Can you create the surface plot and explain to me how you did it and how it worked I am trying my best here. Example of the first point is (18,180,9) the next point would be (19,0,9) I have the values organized by variable but still in order.

X Values: 18 19 20 20 20 20 20 21 21 21 21 35 35 36 37 37 37 37 38 38 38 38 55 55 56 56 56 57 57 57 57 57 58 76 76 76 77 77 77 77 77 77 78 95 95 95 95 96 96 96 97 97 98 98 137 137 138 139 139 139 139 140 140 140 140 178 178 179 179 180 180 180 180 180 181 181

Y Values: 180 0 10 110 120 140 160 30 50 70 90 160 180 110 0 70 90 140 10 30 50 120 140 180 90 120 160 10 30 50 70 110 0 140 160 180 0 30 50 70 90 110 120 120 140 160 180 70 90 110 0 30 10 50 0 10 30 50 70 120 140 90 110 160 180 50 70 30 140 0 10 90 110 120 160 180

Z Values: 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1

[Walter Roberson]

x = [18  19  20  20  20  20  20  21  21  21  21  35  35  36  37  37  37  37  38  38  38  38  55  55  56  56  56  57  57  57  57  57  58  76  76  76  77  77  77  77  77  77  78  95  95  95  95  96  96  96  97  97  98  98  137  137  138  139  139  139  139  140  140  140  140  178  178  179  179  180  180  180  180  180  181  181 ];
y = [180  0  10  110  120  140  160  30  50  70  90  160  180  110  0  70  90  140  10  30  50  120  140  180  90  120  160  10  30  50  70  110  0  140  160  180  0  30  50  70  90  110  120  120  140  160  180  70  90  110  0  30  10  50  0  10  30  50  70  120  140  90  110  160  180  50  70  30  140  0  10  90  110  120  160  180 ];
z = [9  9  9  9  9  9  9  9  9  9  9  8  8  8  8  8  8  8  8  8  8  8  7  7  7  7  7  7  7  7  7  7  7  6  6  6  6  6  6  6  6  6  6  5  5  5  5  5  5  5  5  5  5  5  3  3  3  3  3  3  3  3  3  3  3  1  1  1  1  1  1  1  1  1  1  1 ];
xx = linspace(min(x),max(x),20);
yy = linspace(min(y),max(y),20);
[X,Y] = meshgrid(xx,yy);
Z = griddata(x,y,z,X,Y);
surf(X,Y,Z, 'edgecolor', 'none')