Code covered by the BSD License

### Highlights from Plot 2D/3D region

4.7

4.7 | 20 ratings Rate this file 68 Downloads (last 30 days) File Size: 10.9 KB File ID: #9261

# Plot 2D/3D region

05 Dec 2005 (Updated )

The program plots convex closed regions in 2D/3D.

### Editor's Notes:

This file was highlighted in the File Exchange Pick of the Week blog.

File Information
Description

The program plots convex closed regions in 2D/3D. The region is a subset of R2 or R3 such that Ax>=b and lb<=x<=ub. It is also possible to plot points in the same plot.

(See help plotregion for more documentation)

MATLAB release MATLAB 6.0 (R12)
19 Jan 2014

Is there anybody could tell me what the meaning of
b?Thx

16 Sep 2013

ax<=b is euivalent to -ax>=-b

15 Sep 2013

It is very helpful to me. As a beginner for Matlab, I have a question which is how could I modify the program to Ax<=b. Can you help me on it?

20 Nov 2012

Good stuff! Thanks.

06 Jul 2012

This is amazing. So easy to visualize complex regions! I love it.

21 May 2012
02 May 2012

This is amazing! It was very useful for my purpose (I am developing a GUI to show the steps that simplex takes to solve an optimization problem). But I have a question: is it possible to draw different faces of the polyhedron with different colors? I like to have some nice and colorful figure for the feasible region of the problem which is a polyhedron.

Thanks.

01 May 2012

I like it a lot. As a minor point, though, it would be good if you could return a plot handle as an output argument.

05 Mar 2012

Very good file. I love it. Thanks for sharing

14 Jun 2010

Thanks for a nice package - it saved me quite some time! A hint to users: You get the error "Vector must have 4, 6, or 8 elements." if you specify an unfeasible set, i.e. if your A and b are such that no x fulfill Ax >= b. In my case, it was because I happened to define the normal vectors so they point out instead of in, i.e., the sign of A was reversed.

13 Oct 2008

very good! just what i need for my thesis. Thanks!

Juan Carlos: You can close your polyhedron by adding goods upper and lower bounds.

03 Jul 2008

Good contribution!

18 Dec 2007

I was looking for something similar, great!
Only one question, how can one do to appropiately define the planes to plot general closed regions?

05 Dec 2007

I think it is very useful.

26 Nov 2007
22 Oct 2007

interesting

16 Jun 2007

I am sure this works well, but it needs clearer documentation. I simply cannot understand the format.
"The region(s) x is a subset of R2/R3 s.t. A*x>=b and lb<=x<=ub" is rather cryptic.

30 May 2007
12 Feb 2007
07 Feb 2007
26 Sep 2006

After hours of playing around with different m-files, trying to figure out how to fill the region b/w the intersection of some planes in R^3, I found this m-file which took care of the job in less than a minute.

Matlab has a built-in function ?area? for 2-D but nothing for 3-D (to my understanding).

I used plotregion.m to visualize a subset of R^3 where all the vectors have norm-1 less than say 3. (i.e. abs(x)+abs(y)+abs(z)<=3). This is easily done using this m-file by inputting an 8x3 constraint matrix A.

Thanks a lot & great work?

-AAA

15 Feb 2006

Just what I needed. Thanks.

06 Dec 2005

Splendid. A very nice utility that I'll happily use. I'd have
liked more documentation in the help, but I tend to go
overboard there myself, so my standards may be deemed
excessive by sane, rational beings. The examples were
enough to figure it out.

07 Dec 2005

Uncomplete description

17 Jan 2006

John D'Errico had an idea how to do the program more user-friendly. That was by adding simpe bounds, lb & ub, to the arguments. So I did.

04 Jan 2010