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Volumn 15, Issue , 2008, Pages 669-672

Relationships among various 2-D quaternion fourier transforms

Author keywords

Quaternion; Quaternion Fourier transform

Indexed keywords

NON-COMMUTATIVE; QUATERNION; QUATERNION ALGEBRA; QUATERNION FOURIER TRANSFORM;

EID: 67650110617     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2008.2002714     Document Type: Article
Times cited : (25)

References (18)
  • 2
    • 33847695369 scopus 로고    scopus 로고
    • Hypercomplex Fourier transforms of color images
    • Jan
    • T. A. Ell and S. J. Sangwine, "Hypercomplex Fourier transforms of color images," IEEE Trans. Image Process., vol. 16, no. 1, pp. 22-35, Jan. 2007.
    • (2007) IEEE Trans. Image Process , vol.16 , Issue.1 , pp. 22-35
    • Ell, T.A.1    Sangwine, S.J.2
  • 3
    • 0030260155 scopus 로고    scopus 로고
    • Fourier transforms of colour images using quaternion or hypercomplex, numbers
    • Oct
    • S. J. Sangwine, "Fourier transforms of colour images using quaternion or hypercomplex, numbers," Electron. Lett., vol. 32, pp. 1979-1980, Oct. 1996.
    • (1996) Electron. Lett , vol.32 , pp. 1979-1980
    • Sangwine, S.J.1
  • 4
    • 0035164796 scopus 로고    scopus 로고
    • Hypercomplex Fourier transforms of color images
    • Sep
    • S. J. Sangwine and T. A. Ell, "Hypercomplex Fourier transforms of color images," in Proc. IEEE Int. Conf. Image Processing, Sep. 2001, vol. I, pp. 137-140.
    • (2001) Proc. IEEE Int. Conf. Image Processing , vol.1 , pp. 137-140
    • Sangwine, S.J.1    Ell, T.A.2
  • 5
    • 0027810912 scopus 로고
    • Quaternion-Fourier transforms for analysis of two-dimensional linear time invariant partial differential systems
    • T. A. Ell, "Quaternion-Fourier transforms for analysis of two-dimensional linear time invariant partial differential systems," in Proc. 32nd Conf. Decision Control, 1993, pp. 1830-1841.
    • (1993) Proc. 32nd Conf. Decision Control , pp. 1830-1841
    • Ell, T.A.1
  • 6
    • 0037861990 scopus 로고    scopus 로고
    • Hypercomplex correlation techniques for vector images
    • Jul
    • C. Moxey, S. J. Sangwine, and T. A. Ell, "Hypercomplex correlation techniques for vector images," IEEE Trans. Signal Process., vol. 51, no. 7, pp. 1941-1953, Jul. 2003.
    • (2003) IEEE Trans. Signal Process , vol.51 , Issue.7 , pp. 1941-1953
    • Moxey, C.1    Sangwine, S.J.2    Ell, T.A.3
  • 7
    • 0035503273 scopus 로고    scopus 로고
    • Efficient implementation of Quaternion Fourier transform, convolution, and correlated by 2-D complex FFT
    • Nov
    • S. C. Pei, J. J. Ding, and J. H. Chang, "Efficient implementation of Quaternion Fourier transform, convolution, and correlated by 2-D complex FFT," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2783-2797, Nov. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.11 , pp. 2783-2797
    • Pei, S.C.1    Ding, J.J.2    Chang, J.H.3
  • 8
    • 33144488247 scopus 로고    scopus 로고
    • The theory and use of the quaternion wavelet transform
    • Jan
    • E. Bayro-Corrochano, "The theory and use of the quaternion wavelet transform," J. Math. Imag. Vis., vol. 24, pp. 19-35, Jan. 2006.
    • (2006) J. Math. Imag. Vis , vol.24 , pp. 19-35
    • Bayro-Corrochano, E.1
  • 10
    • 0035503560 scopus 로고    scopus 로고
    • T. Bülow and G. Sommer, Hypercomplex signals - A novel extension of the analytic signal to the multidimensional case, IEEE Trans. Signal Process., 49, no. 11, pp. 2844-2852, Nov. 2001.
    • T. Bülow and G. Sommer, "Hypercomplex signals - A novel extension of the analytic signal to the multidimensional case," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2844-2852, Nov. 2001.
  • 11
    • 0003499969 scopus 로고    scopus 로고
    • Hypercomplex spectral signal representations for the processing and analysis of images,
    • Ph.D. dissertation, Christian-Albrechts Univ, Kiel, Germany
    • T. Bülow, "Hypercomplex spectral signal representations for the processing and analysis of images," Ph.D. dissertation, Christian-Albrechts Univ., Kiel, Germany, 1999.
    • (1999)
    • Bülow, T.1
  • 15
    • 34548099156 scopus 로고    scopus 로고
    • Quaternion Fourier transform on quaternion fields and generalizations
    • E. Hitzer, "Quaternion Fourier transform on quaternion fields and generalizations," Adv. Appl. Clifford Algebras, vol. 17, pp. 497-517, 2007.
    • (2007) Adv. Appl. Clifford Algebras , vol.17 , pp. 497-517
    • Hitzer, E.1
  • 16
    • 84957374800 scopus 로고    scopus 로고
    • Optimized fast algorithms for the quaternionic Fourier transform
    • M. Felsberg and F. Sommer, "Optimized fast algorithms for the quaternionic Fourier transform," Comput. Anal. Image Patterns, pp. 209-216, 1999.
    • (1999) Comput. Anal. Image Patterns , pp. 209-216
    • Felsberg, M.1    Sommer, F.2
  • 17
    • 0006425115 scopus 로고    scopus 로고
    • Decomposition of 2D hypercomplex Fourier transforms into pairs of complex Fourier transforms
    • T. A. Ell and S. J. Sangwine, "Decomposition of 2D hypercomplex Fourier transforms into pairs of complex Fourier transforms," in Proc. EUSIPCO, 2000, pp. 151-154.
    • (2000) Proc. EUSIPCO , pp. 151-154
    • Ell, T.A.1    Sangwine, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.