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Original Articles

Building an Orthonormal Basis from a 3D Unit Vector Without Normalization

Pages 151-159 | Received 21 Jul 2011, Accepted 25 Apr 2012, Published online: 02 Aug 2012

References

  • Akenine-Möller , Tomas , Eric , Haines and Hoffman , Naty . 2008 . Real-Time Rendering , Third , Natick , MA : A K Peters . [Akenine-Möller et al. 08]
  • Hamilton , William Rowan . On Quaternions; or On a New System of Imaginaries in Algebra . The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science (3rd series) , 25 ( 1844 ) 10 – 13 . [Hamilton 44]
  • Hughes , John F. and Möller , Tomas . 1999 . Building an Orthonormal Basis from a Unit Vector . Journal of Graphics Tools , 4 ( 4 ) : 33 – 35 . [Hughes and Möller 99]
  • Pharr , Matt and Humphreys , Greg . 2010 . Physically Based Rendering: From Theory to Implementation , Second , Burlington , MA : Morgan Kaufmann/Elsevier . [Pharr and Humphreys 10]

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