MATLAB-基于不平等的3D体积填充
我有三个变量x，y和z。我的形式不平等
x＆gt; = a，y＆gt; = b，z＆gt; = c，x+y＆gt; = d，y+z＆gt; = e，= e，x+z＆gt; = f，x＆gt; = f，x+y+ z＆gt; = g
其中a to g是正数。在带有轴x的3D图上，y和z，这是一个打开的卷。我想用颜色填充开放的侧面（即远离0）形状，并在图中显示。在MATLAB上执行此操作的方法是什么？
我尝试使用fill3和网格，但是使用plot3也不是很好，结果
[x,y,z] = meshgrid(0:0.01:2,0:0.01:2,0:0.01:2);
ineq = (x>=1)& (y>0.5)&(z>=0.25)&(x+y>1.25)&(y+z>0.6)&(x+z>1.1)&(x+y+z>1.6);
fill3(x(:),y(:),z(:), 'r')
box on
grid on
也不是很好。还有其他方法可以在MATLAB上生成漂亮的3D数字吗？
Mathematica使用regionPlot3D来做到这一点。我希望有类似的结果图像。
I have three variables x, y and z. I have inequalities of the form
x >= a, y>= b, z>=c, x+y>=d, y+z>=e, x+z>=f, x+y+z>=g
where a to g are positive numbers. On a 3D plot with axes x, y and z, this is an open volume. I would like to fill the open side (i.e. away from 0) shape with color and show it in a plot. What is the way to do this on MATLAB?
I attempted to use fill3 and a mesh but the result was not very good
[x,y,z] = meshgrid(0:0.01:2,0:0.01:2,0:0.01:2);
ineq = (x>=1)& (y>0.5)&(z>=0.25)&(x+y>1.25)&(y+z>0.6)&(x+z>1.1)&(x+y+z>1.6);
fill3(x(:),y(:),z(:), 'r')
box on
grid on
Using plot3 also was not very good. Is there any other way to generate a nice 3D figure on MATLAB?
Mathematica does this using RegionPlot3D. I was hoping for a similar resultant image.
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首先，使用3D网格时要小心，您定义的一个包含8m+点。
假设您的形状为凸，您可以使用 href =“ https://www.mathworks.com/help/matlab/ref/ref/trisurf.html” rel =“ nofollow noreferrer”> trisurf ：
不是选项
设置为真实，以减少凸船体中所述的元素数量。如果您希望结果看起来比regionplot3d多一点，请不要使用
简化，然后绘制边缘（请小心不要与太多点的网格！）。First of all, be careful when using 3D meshes, the one you defined contains 8M+ points.
Assuming your shape is convex, you can use convhull and trisurf:
Not that the option
'Simplify'is set as true to reduce the number of elements accounted for in the convex hull.In case you want the result to look a bit more than RegionPlot3D, don't use
Simplify, and plot the edges (Be careful not too have a mesh with too many points!).