how to draw a plane?

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bsd
bsd 2011-9-21
评论： Matt J 2024-10-5
Hai,
I am working on optics. I have plotted a lens in matlab. The rays of light emerging out of the lens, after undergoing refraction in the lens, needs to be projected on a square plane in front of the lens. How is it possible to draw a plane in matlab? Looking forward to hearing from you soon.
BSD

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Walter Roberson
Walter Roberson 2011-9-21
You can use patch() to draw a shape embedded in 3D.
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bsd
bsd 2011-9-24
http://www.opticasoftware.com/documentation/Rayica/PrinciplesOfRayica/4Customization/index.html#.1.2
go to the above link, and see the figure just immediately above the section 4.3. This is what I want to do using matlab, after the rays emerge out of the lens, and they hit an aperture in front of it, as seen in the above figure.
Walter Roberson
Walter Roberson 2011-9-24
Yup, you will be wanting non-zero z for that. The basic call will be as I gave above, patch([0 0 1 1 0], [0 1 1 0 0], [0 0 0 0 0]), but you will want different coordinates. The first parameter is a list of the x coordinates, the second parameter is a list of the corresponding y coordinates, and the third parameter is a list of the corresponding z coordinates.
You will also want to create a patch() for each of the apertures. You can use the usual sin() vs cos() coordinates if your square is perpendicular to one of the axes. For example,
sides = 17;
radius = 3;
angles = linspace(0,2*pi,sides+1) .';
coords = [radius * sin(angles), zeros(size(angles)), radius * cos(angles)];
xoff = 5; yoff = 2.8; zoff=3.3;
patch(xoff + coords(:,1), yoff + coords(:,2), zoff + coords(:,3));
and to draw the next circle, just change the xoff, yoff, zoff, and repeat the patch() command.

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更多回答（2 个）

Sean de Wolski
Sean de Wolski 2011-9-21
You could also use a surf or a slice
  1 个评论
Walter Roberson
Walter Roberson 2011-9-21
If your plane was along the z axis, then surf would not be able to handle it, as surf requires unique (x,y) for every z value.

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Adam Danz
Adam Danz 2024-10-4
Ran in:
Starting in MATLAB R2024b, you can use constantplane to create a 2D plane in 3D axes. However, unlike surfaces and patches, the ConstantPlane will extend infinitely in all directions within the axis limits.
For example, to create a flat plane along the z axis at z=0,
constantplane('z',0)
grid on
  2 个评论
DGM
DGM 2024-10-4
Finally! This is the logical extension of xline() and yline().
Matt J
Matt J 2024-10-5
Ran in:
Looks like they also fixed the plane-plotting bug in fimplicit3 mentioned here.
load data E C ax
planefun=@(x,y,z) E(1)*x+E(2)*y+E(3)*z+E(4);
plot3(C(1), C(2),C(3),'rx'); axis(ax); hold on
fimplicit3(planefun,ax,EdgeColor='none',FaceAlpha=0.5); hold off

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