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MATLAB Central > MATLAB Newsreader > How to define if the point lies on a face of the c... 

Subject: How to define if the point lies on a face of the convex hull? From: Liana Date: 14 Apr, 2011 08:09:04 Message: 1 of 17 
Hello! 
Subject: How to define if the point lies on a face of the convex hull? From: Rune Allnor Date: 14 Apr, 2011 08:38:43 Message: 2 of 17 
On Apr 14, 10:09 am, "Liana " <liananapalk...@email.arizona.edu> 
Subject: How to define if the point lies on a face of the convex hull? From: John D'Errico Date: 14 Apr, 2011 12:26:05 Message: 3 of 17 
"Liana" wrote in message <io6a30$li0$1@fred.mathworks.com>... 
Subject: How to define if the point lies on a face of the convex hull? From: Matt J Date: 14 Apr, 2011 12:41:05 Message: 4 of 17 
"Liana" wrote in message <io6a30$li0$1@fred.mathworks.com>... 
Subject: How to define if the point lies on a face of the convex hull? From: Matt J Date: 14 Apr, 2011 13:03:04 Message: 5 of 17 
"Matt J" wrote in message <io6q11$qss$1@fred.mathworks.com>... 
Subject: How to define if the point lies on a face of the convex hull? From: Sandro Date: 14 Apr, 2011 16:14:05 Message: 6 of 17 
Hey Liana, 
Subject: How to define if the point lies on a face of the convex hull? From: Liana Date: 14 Apr, 2011 17:43:05 Message: 7 of 17 
Thank you all for the ideas. I'll check them out. 
Subject: How to define if the point lies on a face of the convex hull? From: Liana Date: 14 Apr, 2011 21:47:04 Message: 8 of 17 
I've tried to apply 'vert2lcon' to a simple case, i.e.: 
Subject: How to define if the point lies on a face of the convex hull? From: Liana Date: 15 Apr, 2011 04:36:04 Message: 9 of 17 
Sorry, everything works perfectly with 'vert2lcon'. 
Subject: How to define if the point lies on a face of the convex hull? From: Jay Berger Date: 18 Apr, 2011 00:09:04 Message: 10 of 17 
Hi Matt, 
Subject: How to define if the point lies on a face of the convex hull? From: Matt J Date: 18 Apr, 2011 03:05:21 Message: 11 of 17 
"Jay Berger" <jayvegbbremovethis@gmail.com> wrote in message <iofvf0$gtn$1@fred.mathworks.com>... 
Subject: How to define if the point lies on a face of the convex hull? From: Jay Berger Date: 18 Apr, 2011 03:39:04 Message: 12 of 17 
Use these constraints (i.e. the point to lie on the boundary of the convex hull) for constrained optimization using fmincon. Thanks a bunch for your quickly reply. 
Subject: How to define if the point lies on a face of the convex hull? From: Jay Berger Date: 18 Apr, 2011 04:04:05 Message: 13 of 17 
Or the point to lie on the boundary of the convex hull +/ eps. I appreciate any pointers. 
Subject: How to define if the point lies on a face of the convex hull? From: Matt J Date: 18 Apr, 2011 13:23:05 Message: 14 of 17 
"Jay Berger" <jayvegbbremovethis@gmail.com> wrote in message <iogd7l$q1c$1@fred.mathworks.com>... 
Subject: How to define if the point lies on a face of the convex hull? From: Jay Berger Date: 18 Apr, 2011 14:43:22 Message: 15 of 17 
Thanks Matt. Do you mean, set ceq to prod(bA*x) and set A, Aeq, b, beq, c to [] in fmincon? 
Subject: How to define if the point lies on a face of the convex hull? From: Matt J Date: 18 Apr, 2011 14:55:20 Message: 16 of 17 
"Jay Berger" <jayvegbbremovethis@gmail.com> wrote in message <iohima$se9$1@ginger.mathworks.com>... 
Subject: How to define if the point lies on a face of the convex hull? From: Jay Berger Date: 18 Apr, 2011 15:21:07 Message: 17 of 17 
It works; sometimes it throws badly conditioned matrix warning. Thanks a bunch Matt. 
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