[ODE] question about rotating
Serge Kourdakov
serge at sat-sim.org
Fri Apr 25 04:24:02 2003
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Hi Koby
>Does anybody know how to get from a rigid body, its rotation about each =
axis.
>I mean the rotation angle over axis x, axis y and axis z?
here is paper
http://users.ece.gatech.edu/~slabaugh/personal/research/euler/euler.pdf
the problem is however that the angles are not unique.
some more info on the same subject might be found here (last pages of =
paper on matrix - euler angles conversion)
http://www.diku.dk/forskning/image/teaching/Studentprojects/Quaternion/
Regards
Serge
----- Original Message -----=20
From: Koby Zalmanson=20
To: ode@q12.org=20
Sent: Friday, April 25, 2003 3:11 PM
Subject: [ODE] question about rotating
Hi
Does anybody know how to get from a rigid body, its rotation about =
each axis.
I mean the rotation angle over axis x, axis y and axis z?
=20
Thank you
Koby
=20
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<DIV><FONT face=3DArial size=3D2>Hi Koby</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">>Does =
anybody know=20
how to get from a rigid body, its rotation about each <SPAN=20
class=3DGramE>axis.</SPAN><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">>I mean =
the rotation=20
angle over axis x, axis y and axis z?<o:p></o:p></SPAN></FONT></P></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>here is paper</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2><A=20
href=3D"http://users.ece.gatech.edu/~slabaugh/personal/research/euler/eul=
er.pdf">http://users.ece.gatech.edu/~slabaugh/personal/research/euler/eul=
er.pdf</A></FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>the problem is however that the angles =
are not=20
unique.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>some more info on the same subject =
might be found=20
here (last pages of paper on matrix - euler angles =
conversion)</FONT></DIV>
<DIV><FONT face=3DArial size=3D2><A=20
href=3D"http://www.diku.dk/forskning/image/teaching/Studentprojects/Quate=
rnion/">http://www.diku.dk/forskning/image/teaching/Studentprojects/Quate=
rnion/</A></FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Regards</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Serge</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<BLOCKQUOTE dir=3Drtl=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV=20
style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
<A title=3Dzkoby@inter.net.il href=3D"mailto:zkoby@inter.net.il">Koby=20
Zalmanson</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>To:</B> <A title=3Dode@q12.org=20
href=3D"mailto:ode@q12.org">ode@q12.org</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Friday, April 25, 2003 =
3:11=20
PM</DIV>
<DIV style=3D"FONT: 10pt arial"><B>Subject:</B> [ODE] question about=20
rotating</DIV>
<DIV><BR></DIV>
<DIV class=3DSection1 dir=3Drtl>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN=20
style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial">Hi<o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">Does =
anybody know how=20
to get from a rigid body, its rotation about each <SPAN=20
class=3DGramE>axis.</SPAN><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">I mean =
the rotation=20
angle over axis x, axis y and axis z?<o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN=20
style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial"><o:p> </o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
face=3DArial=20
size=3D2><SPAN style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial"><SPAN=20
style=3D"mso-spacerun: yes"> </SPAN>Thank =
you<o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><SPAN=20
class=3DSpellE><FONT face=3DArial size=3D2><SPAN=20
style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial">Koby</SPAN></FONT></SPAN><FONT=20
face=3DArial size=3D2><SPAN=20
style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial"><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal dir=3Dltr=20
style=3D"DIRECTION: ltr; unicode-bidi: embed; TEXT-ALIGN: left"><FONT =
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style=3D"mso-spacerun: yes"> </SPAN><SPAN=20
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yes"> </SPAN><o:p></o:p></SPAN></FONT></P></DIV></BLOCKQUOTE></BODY>=
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