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Hi, 
"Pinpress " <nospam__@yahoo.com> wrote in message 
On Sat, 15 Dec 2007 01:49:08 +0000 (UTC), "Pinpress " 
Subject: angle from rotation matrix From: Roger Stafford Date: 15 Dec, 2007 11:11:41 Message: 4 of 37 
"Pinpress " <nospam__@yahoo.com> wrote in message <fjvbqk$gbt 
"Roger Stafford" <ellieandrogerxyzzy@mindspring.com.invalid> 
Sorry, I forgot to give detail on calculation of the 
Subject: angle from rotation matrix From: Roger Stafford Date: 15 Dec, 2007 20:32:35 Message: 7 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0rjr$rig 
Subject: angle from rotation matrix From: Roger Stafford Date: 15 Dec, 2007 20:32:37 Message: 8 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0rjr$rig 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 05:30:55 Message: 9 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 05:37:18 Message: 10 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 05:40:04 Message: 11 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 05:41:12 Message: 12 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 05:41:51 Message: 13 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 07:22:19 Message: 14 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 07:47:11 Message: 15 of 37 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message <fk0iq9$k0j 
On Mon, 17 Dec 2007 07:47:11 +0000 (UTC), "Roger Stafford" 
Subject: angle from rotation matrix From: Roger Stafford Date: 17 Dec, 2007 18:19:08 Message: 17 of 37 
James Tursa <aclassyguywithaknotac@hotmail.com> wrote in message 
Roger, 
"Roger Stafford" 
"Bruno Luong" <b.luong@fogale.fr> wrote in message 
"James Tursa" <aclassyguywithaknotac@hotmail.com> wrote in 
Subject: angle from rotation matrix From: Roger Stafford Date: 18 Dec, 2007 04:38:39 Message: 22 of 37 
"Bruno Luong" <b.luong@fogale.fr> wrote in message <fk6ief$3kq 
On Mon, 17 Dec 2007 23:07:18 +0000 (UTC), "Bruno Luong" 
On Tue, 18 Dec 2007 04:38:39 +0000 (UTC), "Roger Stafford" 
Hello James and Roger, 
Still improved direct method for precision (close to the 
"Bruno Luong" <brunoluong@yahoo.com> wrote in message 
OK, I have made a small study to evaluate the methods. A 

Hi James, 

James Tursa <aclassyguywithaknotac@hotmail.com> wrote in 
Subject: angle from rotation matrix From: Scott Seidman Date: 20 Dec, 2007 17:38:14 Message: 33 of 37 
"Bruno Luong" <b.luong@fogale.fr> wrote in news:fke8ss$p7n$1 
The paper 'Rotations in space and orthogonal matrices' by Kraines, 1991 issue of The College Mathematics Journal, is one I found simple and helpful. He shows the axis of rotation is the span of the eigenvector with eigenvalue 1 and that tr(Q)=1+2cos(theta), where Q is the rotation matrix. 
Subject: angle from rotation matrix From: John_old Craighead Date: 21 Jan, 2010 20:58:03 Message: 35 of 37 
Roger's message (below) mentions "It can be shown, 1) that the trace of A must equal 1+2*cos(theta) where theta is the counterclockwise angle of rotation, ...". I'm hoping that smeone can share how to show this with either linear albegra, Lie Theory or both. Thanks, John. 
"John_old Craighead" <7jwc2@queensu.ca> wrote in message <hjaf4r$4ro$1@fred.mathworks.com>... 
Subject: angle from rotation matrix From: mrwaka2011 Walker Date: 15 Feb, 2010 07:08:03 Message: 37 of 37 
"Pinpress " <nospam__@yahoo.com> wrote in message <fjvbqk$gbt$1@fred.mathworks.com>... 
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