Create a surface between two sets of 3d data points
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Hi,
I have 2 sets of data points that create lines on a 3-Dimensional plot.
I would like create a linear surface between the two sets of data points. Each data point on one set of data would correspond with the data point on the other set. I am unsure of how to go about this other than finding a linear equation for each coupled data points.
r1 = [-2.2607e-05; 1.1301e-08; 1.4319e-04; -1.4319e-04];
x = linspace(0,1000);
y = x;
u1_3 = (r1(1)*x.^2 + r1(2)*y.^3);
figure(3)
hold on
grid on
scatter3(x,y,u1_3-100,'b')
X2 = linspace(0,0);
Y2 = linspace(0,1000);
Z2 = linspace(0,0);
scatter3(X2,Y2,Z2-100,'k')
zlim([-1e3 0])
ylim([-1000 1000])
xlim([-1000 1000])
xlabel('x (meters)')
ylabel('y (meters)')
zlabel('Deflection, m/V')
hold off
Any help on this is much appreciated!
5 个评论
Clayton Gotberg
2021-4-19
I'm al bit confused about your goal here. Do you want to take two sets of coordinates and create a surface that is always in the middle of both of them? See the below chart (but imagine it in 3 dimensions instead).
Matthew Davenport
2021-4-19
Matthew Davenport
2021-4-19
Sean de Wolski
2021-4-19
What are you trying to do with this surface? Just visualizing, using it to interpolate?
Matthew Davenport
2021-4-19
采纳的回答
Clayton Gotberg
2021-4-19
编辑：Clayton Gotberg
2021-4-19
When you send matrices to the plotting command, the way that it plots depends on the orientation of those matrices
% x, y, z already defined as row matrices (1 x n)
X = [x1; x2]; % Create a matrix with x1(1) above x2(1); do the same for Y and Z
Y = [y1; y2];
Z = [z1; z2];
plot3(X,Y,Z) % Result: n lines with two points (x1,y1,z1) and (x2,y2,z2)
plot3(X',Y',Z') % Result: 2 lines with n points
If you are trying to create a surface, specifically, the surf command should take the exact same inputs and create a single surface.
2 个评论
Matthew Davenport
2021-4-19
Clayton Gotberg
2021-4-20
I would guess that the error is because surfnorm needs more information to calculate the normal vector than is present in a 2 x n array. If you want to include the normals, you will probably need to calculate and plot them yourself instead of using that function. I'm also not certain what normal you're looking for as a line has infinite normals. You'd need to define a plane and then either find the normal vector to that plane or find a line perpendicular to the line of interest in that plane.
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