-
3
-
-
84977389734
-
A new method for performing digital control system attitude computations using quaternions
-
B.P. Ickes A new method for performing digital control system attitude computations using quaternions AIAA Journal 8 1 1970 13 17
-
(1970)
AIAA Journal
, vol.8
, Issue.1
, pp. 13-17
-
-
Ickes, B.P.1
-
4
-
-
84972502973
-
Hypercomplex Fourier and Laplace transforms i
-
F. Sommen Hypercomplex Fourier and Laplace transforms I Illinois Journal of Mathematics 26 2 1982 332 352
-
(1982)
Illinois Journal of Mathematics
, vol.26
, Issue.2
, pp. 332-352
-
-
Sommen, F.1
-
5
-
-
0006446708
-
Hypercomplex Fourier and Laplace transforms II
-
10.1080/17476938308814016
-
F. Sommen Hypercomplex Fourier and Laplace transforms II Complex Variables 1 2-3 1983 209 238 10.1080/17476938308814016
-
(1983)
Complex Variables
, vol.1
, Issue.23
, pp. 209-238
-
-
Sommen, F.1
-
8
-
-
0008016288
-
Spectral representation of 2D NMR spectra by hypercomplex numbers
-
M.A. Delsuc Spectral representation of 2D NMR spectra by hypercomplex numbers Journal of Magnetic Resonance 77 1 1988 119 124
-
(1988)
Journal of Magnetic Resonance
, vol.77
, Issue.1
, pp. 119-124
-
-
Delsuc, M.A.1
-
10
-
-
0027810912
-
Quaternion-Fourier transforms for analysis of 2-dimensional linear time-invariant partial-differential systems
-
San Antonio, Texas, USA, 15-17 December 1993 IEEE, Control Systems Society
-
T.A. Ell, Quaternion-Fourier transforms for analysis of 2-dimensional linear time-invariant partial-differential systems, in: Proceedings of the 32nd IEEE Conference on Decision and Control, San Antonio, Texas, USA, 15-17 December 1993, vol. 1-4, IEEE, Control Systems Society, 1993, pp. 1830-1841.
-
(1993)
Proceedings of the 32nd IEEE Conference on Decision and Control
, vol.1-4
, pp. 1830-1841
-
-
Ell, T.A.1
-
11
-
-
0003294381
-
Discrete orthogonal transforms with data representation in composition algebras
-
Uppsala Sweden
-
V.M. Chernov Discrete orthogonal transforms with data representation in composition algebras Proceedings Scandinavian Conference on Image Analysis 1995 Uppsala Sweden 357 364
-
(1995)
Proceedings Scandinavian Conference on Image Analysis
, pp. 357-364
-
-
Chernov, V.M.1
-
13
-
-
0035503560
-
Hypercomplex signals - A novel extension of the analytic signal to the multidimensional case
-
10.1109/78.960432
-
T. Bülow, and G. Sommer Hypercomplex signals - a novel extension of the analytic signal to the multidimensional case IEEE Transactions on Signal Processing 49 11 2001 2844 2852 10.1109/78.960432
-
(2001)
IEEE Transactions on Signal Processing
, vol.49
, Issue.11
, pp. 2844-2852
-
-
Bülow, T.1
Sommer, G.2
-
14
-
-
0001861011
-
The discrete Fourier transform of a colour image
-
J.M. Blackledge, M.J. Turner (Eds.) Proceedings Second IMA Conference on Image Processing, De Montfort University, Leicester, UK, September 1998
-
S.J. Sangwine, T.A. Ell, The discrete Fourier transform of a colour image, in: J.M. Blackledge, M.J. Turner (Eds.), Image Processing II Mathematical Methods, Algorithms and Applications, Horwood Publishing for Institute of Mathematics and its Applications, Chichester, 2000, pp. 430-441, Proceedings Second IMA Conference on Image Processing, De Montfort University, Leicester, UK, September 1998.
-
(2000)
Image Processing II Mathematical Methods, Algorithms and Applications, Horwood Publishing for Institute of Mathematics and Its Applications, Chichester
, pp. 430-441
-
-
Sangwine, S.J.1
Ell, T.A.2
-
15
-
-
0035503273
-
Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
-
S.-C. Pei, J.-J. Ding, and J.-H. Chang Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT IEEE Transactions on Signal Processing 49 11 2001 2783 2797
-
(2001)
IEEE Transactions on Signal Processing
, vol.49
, Issue.11
, pp. 2783-2797
-
-
Pei, S.-C.1
Ding, J.-J.2
Chang, J.-H.3
-
16
-
-
3142691998
-
Commutative reduced biquaternions and their Fourier transform for signal and image processing applications
-
10.1109/TSP.2004.828901
-
S.-C. Pei, J.-H. Chang, and J.-J. Ding Commutative reduced biquaternions and their Fourier transform for signal and image processing applications IEEE Transactions Signal Processing 52 7 2004 2012 2031 10.1109/TSP.2004.828901
-
(2004)
IEEE Transactions Signal Processing
, vol.52
, Issue.7
, pp. 2012-2031
-
-
Pei, S.-C.1
Chang, J.-H.2
Ding, J.-J.3
-
18
-
-
84937046782
-
Decomposition of 2D hypercomplex Fourier transforms into pairs of complex Fourier transforms
-
M. Gabbouj, P. Kuosmanen, Finland European Association for Signal Processing, Tampere Finland
-
T.A. Ell, and S.J. Sangwine Decomposition of 2D hypercomplex Fourier transforms into pairs of complex Fourier transforms M. Gabbouj, P. Kuosmanen, Finland Proceedings of EUSIPCO 2000, Tenth European Signal Processing Conference vol. II 2000 European Association for Signal Processing, Tampere Finland 1061 1064
-
(2000)
Proceedings of EUSIPCO 2000, Tenth European Signal Processing Conference
, vol.2
, pp. 1061-1064
-
-
Ell, T.A.1
Sangwine, S.J.2
-
19
-
-
33847695369
-
Hypercomplex Fourier transforms of color images
-
10.1109/TIP.2006.884955
-
T.A. Ell, and S.J. Sangwine Hypercomplex Fourier transforms of color images IEEE Transactions on Image Processing 16 1 2007 22 35 10.1109/TIP.2006.884955
-
(2007)
IEEE Transactions on Image Processing
, vol.16
, Issue.1
, pp. 22-35
-
-
Ell, T.A.1
Sangwine, S.J.2
-
20
-
-
33748951977
-
Biquaternion (complexified quaternion) roots of - 1
-
10.1007/s00006-006-0005-8
-
S.J. Sangwine Biquaternion (complexified quaternion) roots of - 1 Advances in Applied Clifford Algebras 16 1 2006 63 68 10.1007/s00006-006-0005-8
-
(2006)
Advances in Applied Clifford Algebras
, vol.16
, Issue.1
, pp. 63-68
-
-
Sangwine, S.J.1
-
23
-
-
84865015005
-
Square roots of - 1 in real Clifford algebras
-
E. Hitzer, J. Helmstetter, R. Abłamowicz, Square roots of - 1 in real Clifford algebras, in: Gürlebeck [33], 12 pp.
-
Gürlebeck
, Issue.33
-
-
Hitzer, E.1
-
24
-
-
84863762530
-
Hypercomplex algebras in digital signal processing: Benefits and drawbacks
-
Poznan, Poland
-
D. Alfsmann, H. Göckler, S.J. Sangwine, T.A. Ell, Hypercomplex algebras in digital signal processing: Benefits and drawbacks, in: Proceedings of EUSIPCO 2007, 15th European Signal Processing Conference, European Association for Signal Processing, Poznan, Poland, 2007, pp. 1322-6.
-
(2007)
Proceedings of EUSIPCO 2007, 15th European Signal Processing Conference, European Association for Signal Processing
, pp. 1322-1326
-
-
Alfsmann, D.1
-
28
-
-
33748920327
-
Researches respecting quaternions. First series (1843)
-
H. Halberstam, R.E. Ingram (Eds.) Algebra, Cambridge University Press, Cambridge, 1967, Ch. 7 first published as
-
W.R. Hamilton, Researches respecting quaternions. First series (1843), in: H. Halberstam, R.E. Ingram (Eds.), The Mathematical Papers of Sir William Rowan Hamilton, Vol. III Algebra, Cambridge University Press, Cambridge, 1967, Ch. 7, pp. 159-226, first published as [32].
-
The Mathematical Papers of Sir William Rowan Hamilton
, vol.3
, Issue.32
, pp. 159-226
-
-
Hamilton, W.R.1
-
29
-
-
0342321666
-
-
Helsinki University of Technology, Institute of Mathematics, Espoo, Finland (Aug.)
-
P. Lounesto, R. Mikkola, V. Vierros, CLICAL user manual, Research Report A248, Helsinki University of Technology, Institute of Mathematics, Espoo, Finland (Aug. 1987).
-
(1987)
CLICAL User Manual, Research Report A248
-
-
Lounesto, P.1
Mikkola, R.2
Vierros, V.3
-
30
-
-
0030260155
-
Fourier transforms of colour images using quaternion, or hypercomplex, numbers
-
10.1049/el:19961331
-
S.J. Sangwine Fourier transforms of colour images using quaternion, or hypercomplex, numbers Electronics Letters 32 21 1996 1979 1980 10.1049/el:19961331
-
(1996)
Electronics Letters
, vol.32
, Issue.21
, pp. 1979-1980
-
-
Sangwine, S.J.1
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