Double Inequality 3Dplot

Is there a way to have a 3D plot on say and clearly see the bounded region?

4 个评论

Is it a solid or a surface ?
When you say "clearly see" do you mean you want the bounding planes drawn in?
I am expecting to see all eight extreme points on the polyhedron. According to the reference text, there are 8 extreme points but whenever I plot I see 4.
Um, unless you make the polyhedron translucent, do you expect to see those in the back?
Just anything that gets the job done!

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 采纳的回答

John D'Errico
John D'Errico 2021-12-26
编辑:John D'Errico 2021-12-26
Easy peasy.
lb = [1 1 1];
ub = [2 2 2];
plotregion([],[],lb,ub)
view(29,30)
grid on
box on
plotregion can be found on the file exchange for free download.

3 个评论

It gets the job done. Can we also draw this manually "by hand" assuming no resources like matlab to aid us? I tried it several times on a paper with a 3-axis to represent the 3D and I can't visualize it to get all the extreme points. Generally, is there any trick or hint?
Or you could refer to https://www.mathworks.com/matlabcentral/answers/1447449-how-to-draw-a-volxe-size#comment_1728709 where I posted code that voxelizes a volume. In particular the rV array gives corner coordinates (vertices) and the rF array gives the indices into the vertices array needed to create the faces. When I built that code, I made sure to use the consistent "counter-clockwise" ordering of vertices in building the faces, so that lighting would work correctly.
Could this have been done in another way? Yes, Of course. That the tool I show does what it does using MATLAB itself proves that it can be done. In fact, I can think of at least 2 or 3 easy ways you could do this using other tools.
Could you have used tools like patch to plot those facets? OF COURSE. Trivially so. If you cannot see all 8 vertices, then you need to remember to make the facets of the surface translucent, otherwise you cannot see through the front facets to see those that are hidden.
But the solution I showed does exactly what you asked to do.

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