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Volumn 91, Issue 8, 2011, Pages 1887-1900

The trinion Fourier transform of color images

Author keywords

Color image analysis; Hartley; S transform; Trinions

Indexed keywords

COLOR IMAGE ANALYSIS; COLOR IMAGE REPRESENTATION; COLOR IMAGES; COMBINED ANALYSIS; COMPONENT COLOR; COMPUTATIONAL ASPECTS; GAUSSIAN WINDOW; HARTLEY; INVERTIBILITY; JOINT SPACE; ROTATION INVARIANCE; S TRANSFORMS; THREE COMPONENT; TRINIONS; WAVE NUMBERS;

EID: 79955473108     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2011.02.011     Document Type: Article
Times cited : (24)

References (40)
  • 3
    • 33044487298 scopus 로고    scopus 로고
    • The taming of the hue, saturation and brightness color space
    • Bad Aussee, Austria, February
    • A. Hanbury, The taming of the hue, saturation and brightness color space, in: Proceedings of the 7th Computer Vision Winter Workshop, Bad Aussee, Austria, February 2002, pp. 234243.
    • (2002) Proceedings of the 7th Computer Vision Winter Workshop , pp. 234-243
    • Hanbury, A.1
  • 5
    • 0031146412 scopus 로고    scopus 로고
    • Pattern analysis with two-dimensional spectral localisation: Applications of two-dimensional S transforms
    • PII S0378437196004876
    • L. Mansinha, R.G. Stockwell, and R.P. Lowe Pattern analysis with two-dimensional spectral localization: applications of two-dimensional S transforms Physica A 239 1 1997 286 295 (Pubitemid 127414404)
    • (1997) Physica A: Statistical Mechanics and its Applications , vol.239 , Issue.1-3 , pp. 286-295
    • Mansinha, L.1    Stockwell, R.G.2    Lowe, R.P.3
  • 7
    • 0003627894 scopus 로고    scopus 로고
    • S-transform analysis of gravity wave activity
    • Department of Physics and Astronomy, The University of Western Ontario, London, Ontario, Canada
    • R.G. Stockwell, S-transform analysis of gravity wave activity, Ph.D. Dissertation, Department of Physics and Astronomy, The University of Western Ontario, London, Ontario, Canada, 1999.
    • (1999) Ph.D. Dissertation
    • Stockwell, R.G.1
  • 8
    • 0037794950 scopus 로고    scopus 로고
    • Boundary detection in petrographic images and applications of S-transform space-wavenumber analysis to image processing for texture definition
    • Department of Earth Sciences, The University of Western Ontario, London, Ontario, Canada
    • Y. Zhou, Boundary detection in petrographic images and applications of S-transform space-wavenumber analysis to image processing for texture definition, Ph.D. Dissertation, Department of Earth Sciences, The University of Western Ontario, London, Ontario, Canada, 2002.
    • (2002) Ph.D. Dissertation
    • Zhou, Y.1
  • 9
    • 33847695369 scopus 로고    scopus 로고
    • Hypercomplex Fourier transforms of color images
    • DOI 10.1109/TIP.2006.884955
    • T.A. Ell, and S.J. Sangwine Hypercomplex Fourier transforms of color images IEEE Trans. Image Process. 16 1 2007 22 35 (Pubitemid 46437466)
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.1 , pp. 22-35
    • Ell, T.A.1    Sangwine, S.J.2
  • 10
    • 0035164796 scopus 로고    scopus 로고
    • Hypercomplex Fourier transforms of color images
    • S.J. Sangwine, T.A. Ell, Hypercomplex Fourier transforms of color images, in: IEEE International Conference on Image Processing (ICIP 2001), vol. 1, Thessaloniki, Greece, October 2001, pp. 137140. (Pubitemid 33067700)
    • (2001) IEEE International Conference on Image Processing , vol.1 , pp. 137-140
    • Sangwine, S.J.1    Ell, T.A.2
  • 13
    • 0027810912 scopus 로고
    • Quaternion-Fourier transforms for analysis of two-dimensional linear time-invariant partial differential systems
    • San Antonio, TX, USA, December
    • T.A. Ell, Quaternion-Fourier transforms for analysis of two-dimensional linear time-invariant partial differential systems, in: IEEE Proceedings of the 32nd Conference on Decision and Control, San Antonio, TX, USA, December 1993, pp. 18301841.
    • (1993) IEEE Proceedings of the 32nd Conference on Decision and Control , pp. 1830-1841
    • Ell, T.A.1
  • 14
    • 84949226156 scopus 로고    scopus 로고
    • Multi-Dimensional Signal Processing Using an Algebraically Extended Signal Representation
    • Algebraic Frames for the Perception-Action Cycle
    • T. Bülow, G. Sommer, Multi-dimensional signal processing using an algebraically extended signal representation, in: G. Sommer, J.J. Koenderink (Eds.), Lecture Notes in Computer Science, vol. 1315, 1997, pp. 148163. (Pubitemid 127119200)
    • (1997) Lecture Notes in Computer Science , Issue.1315 , pp. 148-163
    • Buelow, T.1    Sommer, G.2
  • 15
    • 76749131291 scopus 로고    scopus 로고
    • Some FFT-like algorithms for RGB-spectra calculation
    • V.M. Chernov Some FFT-like algorithms for RGB-spectra calculation Mach. Graph Vision Int. J. 11 2/3 2002 139 151
    • (2002) Mach. Graph Vision Int. J. , vol.11 , Issue.2-3 , pp. 139-151
    • Chernov, V.M.1
  • 17
    • 0001744133 scopus 로고
    • Hamilton's discovery of quaternions
    • B.L. Van Der Waerden Hamilton's discovery of quaternions Math. Mag. 49 5 1976 227 234
    • (1976) Math. Mag. , vol.49 , Issue.5 , pp. 227-234
    • Van Der Waerden, B.L.1
  • 18
    • 0004337740 scopus 로고
    • Olinde Rodrigues' paper of 1840 on transformation groups
    • J.J. Gray Olinde Rodrigues' paper of 1840 on transformation groups Arch. Hist. Exact Sci. 21 4 1980 375 385
    • (1980) Arch. Hist. Exact Sci. , vol.21 , Issue.4 , pp. 375-385
    • Gray, J.J.1
  • 19
    • 0029022686 scopus 로고
    • Mathematics of three-dimensional eye rotations
    • T. Haslwanter Mathematics of three-dimensional eye rotations Vision Res. 35 12 1995 1727 1739
    • (1995) Vision Res. , vol.35 , Issue.12 , pp. 1727-1739
    • Haslwanter, T.1
  • 20
    • 33746262494 scopus 로고    scopus 로고
    • Quaternions redundancy+0002B;efficiency=ternions
    • [Online] February
    • U. Mutze, Quaternions redundancy+efficiency=ternions, Math. Phys., Preprint Archive 05-53 [Online]. Available: 〈 http://www.ma.utexas.edu/mp- arc/c/05/05-53.pdf 〉, February 2005.
    • (2005) Math. Phys., Preprint Archive 05-53
    • Mutze, U.1
  • 21
    • 79955471321 scopus 로고
    • Smooth lines of projective planes over certain associative algebras
    • M.A. Akivis Smooth lines of projective planes over certain associative algebras Mat. Zametki (Trans.) 41 2 1987 227 237
    • (1987) Mat. Zametki (Trans.) , vol.41 , Issue.2 , pp. 227-237
    • Akivis, M.A.1
  • 22
    • 79955467253 scopus 로고    scopus 로고
    • Online
    • O MIC-N-ternions [Online]. Available: 〈 http://asyncbrain.baf.cz/m/ nt/index.htm 〉.
    • *o* MIC-N-ternions
  • 24
    • 0037861990 scopus 로고    scopus 로고
    • Hypercomplex correlation techniques for vector images
    • C.E. Moxey, S.J. Sangwine, and T.A. Ell Hypercomplex correlation techniques for vector images IEEE Trans. Signal Process. 51 7 2003 1941 1953
    • (2003) IEEE Trans. Signal Process. , vol.51 , Issue.7 , pp. 1941-1953
    • Moxey, C.E.1    Sangwine, S.J.2    Ell, T.A.3
  • 25
    • 3142691998 scopus 로고    scopus 로고
    • Commutative reduced biquaternions and their Fourier transform for signal and image processing applications
    • S.-C. Pei, J.H. Chang, and J.J. Ding Commutative reduced biquaternions and their Fourier transform for signal and image processing applications IEEE Trans. Signal Process. 52 7 2004 2012 2031
    • (2004) IEEE Trans. Signal Process. , vol.52 , Issue.7 , pp. 2012-2031
    • Pei, S.-C.1    Chang, J.H.2    Ding, J.J.3
  • 29
    • 0029214389 scopus 로고
    • Arithmetic method in the theory of discrete orthogonal transforms
    • V.M. Chernov, Arithmetic method in the theory of discrete orthogonal transforms, in: Proceedings of the SPIE, 1995, vol. 2363, pp. 134141.
    • (1995) Proceedings of the SPIE , vol.2363 , pp. 134-141
    • Chernov, V.M.1
  • 30
    • 0003294381 scopus 로고
    • Discrete orthogonal transforms with data representation in composition algebras
    • Uppsala, Sweden
    • V.M. Chernov, Discrete orthogonal transforms with data representation in composition algebras, in: Proceedings of the 9th Scandinavian Conference on Image Analysis (SCIA'95), vol. 1, Uppsala, Sweden, 1995, pp. 357364.
    • (1995) Proceedings of the 9th Scandinavian Conference on Image Analysis (SCIA'95) , vol.1 , pp. 357-364
    • Chernov, V.M.1
  • 31
    • 34548099156 scopus 로고    scopus 로고
    • Quaternion Fourier transform on quaternion fields and generalizations
    • E.M.S. Hitzer Quaternion Fourier transform on quaternion fields and generalizations J. Adv. Appl. Clifford Alg. 17 3 2007 497 517
    • (2007) J. Adv. Appl. Clifford Alg. , vol.17 , Issue.3 , pp. 497-517
    • Hitzer, E.M.S.1
  • 32
    • 0035503273 scopus 로고    scopus 로고
    • Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
    • DOI 10.1109/78.960426, PII S1053587X01095964
    • 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 Trans. Signal Process. 49 11 2001 2783 2797 (Pubitemid 33048447)
    • (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
  • 35
    • 0006425115 scopus 로고    scopus 로고
    • Decomposition of two-dimensional hypercomplex Fourier transforms into Pairs of complex Fourier transforms
    • Tampere, Finland, September
    • T.A. Ell, S.J. Sangwine, Decomposition of two-dimensional hypercomplex Fourier transforms into Pairs of complex Fourier transforms, in: 10th Signal Processing Conference, Theory and Applications, Proceedings of the EUSIPCO, vol. 2, Tampere, Finland, September 2000, pp. 10611064.
    • (2000) 10th Signal Processing Conference, Theory and Applications, Proceedings of the EUSIPCO , vol.2 , pp. 1061-1064
    • Ell, T.A.1    Sangwine, S.J.2
  • 37
    • 0003989121 scopus 로고
    • Oxford University Press, Inc. New York, NY
    • R.N. Bracewell The Hartley Transform Mar. 1986 Oxford University Press, Inc. New York, NY
    • (1986) The Hartley Transform
    • Bracewell, R.N.1
  • 38
    • 76749104248 scopus 로고    scopus 로고
    • Local quaternion Fourier transform and color image texture analysis
    • D. Assefa, L. Mansinha, K.F. Tiampo, H. Rasmussen, and K. Abdella Local quaternion Fourier transform and color image texture analysis Signal Process. 90 6 2010 1825 1835
    • (2010) Signal Process. , vol.90 , Issue.6 , pp. 1825-1835
    • Assefa, D.1    Mansinha, L.2    Tiampo, K.F.3    Rasmussen, H.4    Abdella, K.5
  • 39
    • 79955474298 scopus 로고    scopus 로고
    • Fast complexified quaternion Fourier transform
    • Brandenburg an der Havel, Germany. e-print March2006
    • S. Said, N.L. Bihan, S.J. Sangwine, Fast complexified quaternion Fourier transform, in: 2nd International Workshop on Transforms and Filter Banks, Brandenburg an der Havel, Germany. e-print arXiv:math.NA/0603578 [Online]. Available: 〈 http://www.arxiv.org/abs/math.NA/0603578 〉, March 2006.
    • 2nd International Workshop on Transforms and Filter Banks
    • Said, S.1    Bihan, N.L.2    Sangwine, S.J.3
  • 40
    • 0028974390 scopus 로고
    • 2-D Hartley transforms
    • N. Sundararajan 2-D Hartley transforms Geophysics 60 1 1995 262 267
    • (1995) Geophysics , vol.60 , Issue.1 , pp. 262-267
    • Sundararajan, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.