Biquaternion (complexified quaternion) roots of -1

Advances in Applied Clifford Algebras

Volumn 16, Issue 1, 2006, Pages 63-68

  Sangwine, Stephen J ^a  

^a UNIVERSITY OF ESSEX   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748951977     PISSN: 01887009     EISSN: 16614909     Source Type: Journal    
DOI: 10.1007/s00006-006-0005-8     Document Type: Article

References (7)

1. T. A. Ell and S. J. Sangwine, Hypercomplex Fourier transforms of color images, Submitted to IEEE Trans. Signal Processing, 18 March 2005.
2. W. R. Hamilton, Researches respecting quaternions, Transactions of the Royal Irish Academy, 21 (1848), 199-296.
3. W. R. Hamilton, Researches respecting quaternions. First series (1843). In: H. Halberstam and R. E. Ingram, editors, The Mathematical Papers of Sir William Rowan Hamilton, volume III Algebra, chapter 7, pages 159-226. Cambridge University Press, Cambridge, 1967. First published as [2].
4. David Hestenes and Garret Sobczyk, Clifford Algebra to Geometric Calculus, D. Reidel Publishing Company, Dordrecht, 1984.
5. I. R. Porteous, Topological Geometry, Cambridge University Press, Cambridge, second edition, 1981.
6. S. J. Sangwine and T. A. Ell, The discrete Fourier transform of a colour image. In: J. M. Blackledge and M. J. Turner, editors, Image Processing II Mathematical Methods, Algorithms and Applications, pages 430-441, Chichester, 2000. Horwood Publishing for Institute of Mathematics and its Applications. Proceedings Second IMA Conference on Image Processing, De Montfort University, Leicester, UK, September 1998.
7. J. P. Ward, Quaternions and Cayley Numbers: Algebra and Applications, volume 403 of Mathematics and Its Applications. Kluwer, Dordrecht, 1997.