Editing Rotation matrix (section)

== References ==
* {{Citation
 | last=Arvo
 | first=James
 | year=1992
 | contribution=Fast random rotation matrices
 | title=Graphics Gems III
 | editor=David Kirk
 | publisher=[[Academic Press]] Professional
 | place=San Diego
 | pages=[https://archive.org/details/isbn_9780124096738/page/117 117–120]
 | bibcode=1992grge.book.....K
 | isbn=978-0-12-409671-4
 | url=https://archive.org/details/isbn_9780124096738/page/117
 }}
* {{Citation
 | last=Baker
 | first=Andrew
 | title=Matrix Groups: An Introduction to Lie Group Theory
 | year=2003
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-1-85233-470-3
 | url-access=registration
 | url=https://archive.org/details/matrixgroupsintr0000bake
 }}
* {{Citation
 | last=Bar-Itzhack
 | first=Itzhack Y.
 |date=Nov–Dec 2000
 | title=New method for extracting the quaternion from a rotation matrix
 | journal=Journal of Guidance, Control and Dynamics
 | volume=23
 | issue=6
 | pages=1085–1087
 | issn=0731-5090
 | doi=10.2514/2.4654
 | bibcode=2000JGCD...23.1085B
 }}
* {{Citation
 | last1=Björck
 | first1=Åke 
 | last2=Bowie
 | first2=Clazett 
 |date=June 1971
 | title=An iterative algorithm for computing the best estimate of an orthogonal matrix
 | journal=SIAM Journal on Numerical Analysis
 | volume=8
 | issue=2
 | pages=358–364
 | issn=0036-1429
 | doi=10.1137/0708036
 | bibcode=1971SJNA....8..358B 
 }}
* {{Citation
 | last=Cayley
 | first=Arthur
 | author-link=Arthur Cayley
 | year=1846
 | title=Sur quelques propriétés des déterminants gauches 
 | journal=[[Journal für die reine und angewandte Mathematik]]
 | volume=1846
 | issue=32
 | pages=119–123
 | issn=0075-4102
 | doi=10.1515/crll.1846.32.119
 | s2cid=199546746
 | url=https://zenodo.org/record/1448846
 }}; reprinted as article 52 in {{Citation
 | last=Cayley
 | first=Arthur
 | author-link=Arthur Cayley
 | year=1889
 | title=The collected mathematical papers of Arthur Cayley
 | publisher=[[Cambridge University Press]]
 | volume=I (1841–1853)
 | pages=332–336
 | isbn=<!-- none given -->
 | url=http://www.hti.umich.edu/cgi/t/text/pageviewer-idx?c=umhistmath;cc=umhistmath;rgn=full%20text;idno=ABS3153.0001.001;didno=ABS3153.0001.001;view=image;seq=00000349
 }}
* {{Citation
 | last1=Diaconis
 | first1=Persi
 | author1-link=Persi Diaconis
 | last2=Shahshahani
 | first2=Mehrdad
 | title=The subgroup algorithm for generating uniform random variables
 | journal=Probability in the Engineering and Informational Sciences
 | volume=1
 | pages=15–32
 | year=1987
 | issn=0269-9648
 | doi=10.1017/S0269964800000255
 | s2cid=122752374
 | url=https://statweb.stanford.edu/~cgates/PERSI/papers/subgroup-rand-var.pdf
 | archive-url=https://web.archive.org/web/20220121021352/https://statweb.stanford.edu/~cgates/PERSI/papers/subgroup-rand-var.pdf
 | archive-date=21 January 2022
 }}
* {{Citation
 | last=Engø
 | first=Kenth
 |date=June 2001
 | title=On the BCH-formula in '''so'''(3)
 | journal=BIT Numerical Mathematics
 | volume=41
 | pages=629–632
 | issn=0006-3835
 | doi=10.1023/A:1021979515229
 | url=http://www.ii.uib.no/publikasjoner/texrap/abstract/2000-201.html
 | issue=3
 | s2cid=126053191
 }}
* {{Citation
 | last1=Fan
 | first1=Ky
 | last2=Hoffman
 | first2=Alan J.
 |date=February 1955
 | title=Some metric inequalities in the space of matrices
 | journal=[[Proceedings of the American Mathematical Society]]
 | volume=6
 | issue=1
 | pages=111–116
 | issn=0002-9939
 | doi=10.2307/2032662
 | jstor=2032662
 | doi-access=free
 }}
* {{Citation
 | last1=Fulton
 | first1=William
 | author1-link=William Fulton (mathematician)
 | last2=Harris
 | first2=Joe
 | author2-link=Joe Harris (mathematician)
 | year=1991
 | title=Representation Theory: A First Course  <!--
 | chapter=Spin Representations of '''so'''<sub>''m''</sub>&nbsp;'''C'''
 | pages=299–315
 -->
 | publisher=[[Springer-Verlag|Springer]]
 | place=New York, Berlin, Heidelberg
 | isbn=978-0-387-97495-8
 | series=[[Graduate Texts in Mathematics]]
 | volume=129
 | mr=1153249 
 }}
* {{Citation
 | last1=Goldstein
 | first1=Herbert
 | author1-link=Herbert Goldstein
 | last2=Poole
 | first2=Charles P.
 |author2-link=Charles P. Poole
 | last3=Safko
 | first3=John L.
 | year=2002<!-- January 15 -->
 | title=Classical Mechanics
 | edition=third
 | publisher=[[Addison Wesley]]
 | isbn=978-0-201-65702-9
 }}
* {{Citation
 | last=Hall
 | first=Brian C.
 | title=Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
 | year=2004
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-0-387-40122-5
 }} ([[Graduate Texts in Mathematics|GTM]] 222)
* {{Citation
 | last1=Herter
 | first1=Thomas
 | last2=Lott
 | first2=Klaus
 |date=September–October 1993
 | title=Algorithms for decomposing 3-D orthogonal matrices into primitive rotations
 | journal=Computers & Graphics
 | volume=17
 | pages=517–527
 | issn=0097-8493
 | doi=10.1016/0097-8493(93)90003-R
 | issue=5
 }}
* {{Citation
 | last=Higham
 | first=Nicholas J.
 | date=October 1, 1989
 | contribution=Matrix nearness problems and applications
 | title=Applications of Matrix Theory
 | editor1-last=Gover
 | editor1-first=Michael J. C.
 | editor2-last=Barnett
 | editor2-first=Stephen
 | pages=[https://archive.org/details/applicationsofma0000unse/page/1 1–27]
 | publisher=[[Oxford University Press]]
 | isbn=978-0-19-853625-3
 | url=https://archive.org/details/applicationsofma0000unse/page/1
 }}
* {{Citation
 | last1=León
 | first1=Carlos A.
 | last2=Massé
 | first2=Jean-Claude
 | last3=Rivest
 | first3=Louis-Paul
 |date=February 2006
 | title=A statistical model for random rotations
 | journal=Journal of Multivariate Analysis
 | volume=97
 | pages=412–430
 | issn=0047-259X
 | doi=10.1016/j.jmva.2005.03.009
 | url=http://www.mat.ulaval.ca/pages/lpr/
 | issue=2
 | doi-access=free
 }}
* {{Citation
 | last=Miles
 | first=Roger E.
 |date=December 1965
 | title=On random rotations in ''R''<sup>3</sup>
 | journal=[[Biometrika]]
 | volume=52
 | pages=636–639
 | issn=0006-3444
 | doi=10.2307/2333716
 | issue=3/4
 | jstor=2333716
 }}
* {{Citation
 | last1=Moler
 | first1=Cleve
 | author1-link=Cleve Moler
 | last2=Morrison
 | first2=Donald
 | title=Replacing square roots by pythagorean sums
 | journal=IBM Journal of Research and Development
 | volume=27
 | pages=577–581
 | year=1983<!--
 | month=November-->
 | url=http://domino.watson.ibm.com/tchjr/journalindex.nsf/0b9bc46ed06cbac1852565e6006fe1a0/0043d03ee1c1013c85256bfa0067f5a6?OpenDocument
 | issn=0018-8646
 | issue=6
 | doi=10.1147/rd.276.0577
 }}
* {{Citation
 | last=Murnaghan
 | first=Francis D.
 | author-link=Francis Dominic Murnaghan (mathematician)
 | year=1950<!-- November 15 -->
 | title=The element of volume of the rotation group
 | journal=[[Proceedings of the National Academy of Sciences]]
 | volume=36
 | issue=11
 | pages=670–672
 | issn=0027-8424
 | doi=10.1073/pnas.36.11.670
 | pmid=16589056
 | pmc=1063502
 | bibcode=1950PNAS...36..670M
 | doi-access=free
 }}
* {{Citation
 | last=Murnaghan
 | first=Francis D.
 | author-link=Francis Dominic Murnaghan (mathematician)
 | year=1962
 | title=The Unitary and Rotation Groups
 | series=Lectures on applied mathematics
 | publisher=Spartan Books
 | place=Washington
 | isbn=<!-- none -->
 }}
*{{Citation
 | last=Cayley
 | first=Arthur
 | author-link=Arthur Cayley
 | year=1889
 | title=The collected mathematical papers of Arthur Cayley
 | publisher=[[Cambridge University Press]]
 | volume=I (1841–1853)
 | pages=332–336
 | isbn=<!-- none given -->
 | url=http://www.hti.umich.edu/cgi/t/text/pageviewer-idx?c=umhistmath;cc=umhistmath;rgn=full%20text;idno=ABS3153.0001.001;didno=ABS3153.0001.001;view=image;seq=00000349
 }}
*{{Citation
 | last=Paeth
 | first=Alan W.
 | year=1986
 | title=A Fast Algorithm for General Raster Rotation
 | journal=Proceedings, Graphics Interface '86
 | pages=77–81
 | url=https://graphicsinterface.org/wp-content/uploads/gi1986-15.pdf
 }}
*{{Citation
 | last1=Daubechies
 | first1=Ingrid
 | author-link1=Ingrid Daubechies
 | last2=Sweldens
 | first2=Wim
 | author-link2=Wim Sweldens
 | year=1998
 | title=Factoring wavelet transforms into lifting steps
 | journal=Journal of Fourier Analysis and Applications
 | volume=4
 | issue=3
 | pages=247–269
 | url=https://cm-bell-labs.github.io/who/wim/papers/factor/factor.pdf
 | doi=10.1007/BF02476026
 | bibcode=1998JFAA....4..247D
 | s2cid=195242970
 }}
* {{Citation
 | last=Pique
 | first=Michael E.
 | year=1990
 | contribution=Rotation Tools
 | title=Graphics Gems
 | editor=Andrew S. Glassner
 | publisher=[[Academic Press]] Professional
 | place=San Diego
 | pages=465–469
 | isbn=978-0-12-286166-6
 | url=http://www.graphicsgems.org/
 }}
*{{Citation |last1=Press |first1=William H. |last2=Teukolsky |first2=Saul A. |last3=Vetterling |first3=William T. |last4=Flannery |first4=Brian P. |year=2007 |title=Numerical Recipes: The Art of Scientific Computing |edition=3rd |publisher=Cambridge University Press |location=New York |isbn=978-0-521-88068-8 |chapter=Section 21.5.2. Picking a Random Rotation Matrix |chapter-url=http://apps.nrbook.com/empanel/index.html#pg=1130 |access-date=2011-08-18 |archive-date=2011-08-11 |archive-url=https://web.archive.org/web/20110811154417/http://apps.nrbook.com/empanel/index.html#pg=1130 |url-status=dead }}
* {{Citation
 | last=Shepperd
 | first=Stanley W.
 |date=May–June 1978
 | title=Quaternion from rotation matrix
 | journal= Journal of Guidance and Control
 | volume=1
 | issue=3
 | pages=223–224
 | doi=10.2514/3.55767b
 }}
* {{Citation
 | last=Shoemake
 | first=Ken
 | year=1994
 | contribution=Euler angle conversion
 | title=Graphics Gems IV
 | editor=Paul Heckbert
 | publisher=[[Academic Press]] Professional
 | place=San Diego
 | pages=[https://archive.org/details/isbn_9780123361554/page/222 222–229]
 | isbn=978-0-12-336155-4
 | url=https://archive.org/details/isbn_9780123361554/page/222
 }}
* {{Citation
 | last=Stuelpnagel
 | first=John
 |date=October 1964
 | title=On the parameterization of the three-dimensional rotation group
 | journal=SIAM Review
 | volume=6
 | pages=422–430
 | issn=0036-1445
 | doi=10.1137/1006093
 | issue=4
 | bibcode=1964SIAMR...6..422S
 | s2cid=13990266
 }} (Also [https://ntrs.nasa.gov/search.jsp NASA-CR-53568].)
* {{Citation
 | last=Varadarajan
 | first=Veeravalli S.
 | title=Lie Groups, Lie Algebras, and Their Representation
 | year=1984
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-0-387-90969-1
 }} ([[Graduate Texts in Mathematics|GTM]] 102)
* {{Citation
 | last=Wedderburn
 | first=Joseph H. M.
 | author-link=Joseph Wedderburn
 | year=1934
 | title=Lectures on Matrices
 | publisher=[[American Mathematical Society|AMS]]
 | isbn=978-0-8218-3204-2
 | url=https://scholar.google.co.uk/scholar?hl=en&lr=&q=author%3AWedderburn+intitle%3ALectures+on+Matrices&as_publication=&as_ylo=1934&as_yhi=1934&btnG=Search
 }}