Generate surface from boundary points
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I have thickness measurements of a rectangular test specimen. These measurements can only be taken at the boundary, but I would like to get a rough visualization of what the thickness looks like across the span of the panel using the boundary point measurements. This is a general idea of what data I have now using somewhat random numbers:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1647211/image.jpeg)
Is there any way I can make a surface out of this?
Thanks!
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Dyuman Joshi
el 20 de Mzo. de 2024
The surface in between can be of any shape and size. You will have to specify more details or impose more restrictions to get a unique (or a set of unique) solution(s).
Respuestas (1)
Voss
el 20 de Mzo. de 2024
x = linspace(0,3,6).';
y = linspace(0,1,6).';
nx = numel(x);
ny = numel(y);
zx = 0.134+0.007*rand(nx,2);
zy = [zx(1,1) zx(end,1); 0.134+0.007*rand(ny-2,2); zx(1,2) zx(end,2)];
figure
hold on
plot3(x,y(1)*ones(nx,1),zx(:,1))
plot3(x,y(end)*ones(nx,1),zx(:,2))
plot3(x(1)*ones(ny,1),y,zy(:,1))
plot3(x(end)*ones(ny,1),y,zy(:,2))
view(3)
[X,Y] = meshgrid(x,y);
XE = [X([1 end],:).'; X(2:end-1,[1 end])];
YE = [Y([1 end],:).'; Y(2:end-1,[1 end])];
ZE = [zx; zy(2:end-1,:)];
SI = scatteredInterpolant(XE(:),YE(:),ZE(:));
Z = SI(X,Y);
figure
surf(X,Y,Z,'FaceColor','interp','EdgeColor','none')
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