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Science Forum Index » Math - Numerical Analysis Forum » Quaternion & axes question...
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| Dave... |
 Posted: Wed Aug 06, 2008 11:34 am |
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Can anyone explain to me (or point me to a suitable textbook) that
explains how to do basic manipulations between quaternions and
rotations? I have a quaternion that represents the orientation of a 3
dimensional object with respect to a Cartesian coordinate frame {xc,
yc, zc}. I'd like to compute the x, y, z axes of the rotated object
in the {xc, yc, zc} frame. Any ideas on where to start? Many thanks!
Graham |
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| John Harper... |
| Posted: Wed Aug 06, 2008 5:38 pm |
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In article <9459586b-1256-45a3-be3f-8b3ebbb5461c at (no spam) 34g2000hsf.googlegroups.com>,
Dave <Confused.Scientist at (no spam) gmail.com> wrote:
Quote: Can anyone explain to me (or point me to a suitable textbook) that
explains how to do basic manipulations between quaternions and
rotations? I have a quaternion that represents the orientation of a 3
dimensional object with respect to a Cartesian coordinate frame {xc,
yc, zc}. I'd like to compute the x, y, z axes of the rotated object
in the {xc, yc, zc} frame. Any ideas on where to start? Many thanks!
Graham
2 textbooks from a subject in which quaternions are useful:
Le Pichon, X., Francheteau, J. and Bonin, J. "Plate Tectonics" 302pp.
Elsevier 1973
Cox, A. and Hart, R.B. "Plate tectonics: How it works" 392pp.
Blackwell 1986
-- John Harper, School of Mathematics, Statistics and Computer Science,
Victoria University, PO Box 600, Wellington 6140, New Zealand
e-mail john.harper at (no spam) vuw.ac.nz phone (+64)(4)463 6780 fax (+64)(4)463 5045 |
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| John Harper... |
| Posted: Wed Aug 06, 2008 7:51 pm |
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In article <1218062313.82443 at (no spam) bats.mcs.vuw.ac.nz>,
John Harper <harper at (no spam) mcs.vuw.ac.nz> wrote:
Quote:
2 textbooks from a subject in which quaternions are useful:
Le Pichon, X., Francheteau, J. and Bonin, J. "Plate Tectonics" 302pp.
Elsevier 1973
Cox, A. and Hart, R.B. "Plate tectonics: How it works" 392pp.
Blackwell 1986
I forgot to mention that Le Pichon et al. use quaternions to do the
same job that Cox & Hart p.231-234 use 3 X 3 matrices for.
-- John Harper, School of Mathematics, Statistics and Computer Science,
Victoria University, PO Box 600, Wellington 6140, New Zealand
e-mail john.harper at (no spam) vuw.ac.nz phone (+64)(4)463 6780 fax (+64)(4)463 5045 |
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| Han de Bruijn... |
| Posted: Thu Aug 07, 2008 2:13 am |
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Dave wrote:
Quote: Can anyone explain to me (or point me to a suitable textbook) that
explains how to do basic manipulations between quaternions and
rotations? I have a quaternion that represents the orientation of a 3
dimensional object with respect to a Cartesian coordinate frame {xc,
yc, zc}. I'd like to compute the x, y, z axes of the rotated object
in the {xc, yc, zc} frame. Any ideas on where to start? Many thanks!
If you crosspost this to 'sci.math', then there's a chance that J.Mebius
will pick it up. He is an expert in the field.
Han de Bruijn |
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