메뉴 건너뛰기




Volumn C-25, Issue 2, 1976, Pages 140-148

Outer Product Expansions and Their Uses in Digital Image Processing

Author keywords

Fourier transform; Haar transform; image processing outer products; pseudoinverses; singular value decomposition; Walsh transform

Indexed keywords


EID: 84939344472     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.1976.5009228     Document Type: Article
Times cited : (31)

References (26)
  • 1
    • 0000924593 scopus 로고
    • Numerical methods for solving linear least squares problems
    • G. H. Golub, “Numerical methods for solving linear least squares problems,” Numer. Math., vol. 7, pp. 206-216, 1965.
    • (1965) Numer. Math. , vol.7 , pp. 206-216
    • Golub, G.H.1
  • 2
    • 33747738463 scopus 로고
    • Singular value decomposition and least squares solutions
    • G. H. Golub and C. Reinsch, “Singular value decomposition and least squares solutions,” Numer. Math., vol. 14, pp. 403-420, 1970.
    • (1970) Numer. Math. , vol.14 , pp. 403-420
    • Golub, G.H.1    Reinsch, C.2
  • 5
    • 84941603439 scopus 로고
    • Comparison of line-by-line and TwoDimensional encoding of random images
    • July
    • D. J. Sakrison and V. R. Algazi, “Comparison of line-by-line and TwoDimensional encoding of random images,” IEEE Trans. Inform. Theory, vol. IT-17, pp. 386-398, July 1971.
    • (1971) IEEE Trans. Inform. Theory , vol.IT-17 , pp. 386-398
    • Sakrison, D.J.1    Algazi, V.R.2
  • 6
    • 0000157604 scopus 로고
    • Image processing in the context of a visual model
    • July
    • T. G. Stockham, Jr., “Image processing in the context of a visual model,” Proc. IEEE, vol. 60, pp. 828-842, July 1972.
    • (1972) Proc. IEEE , vol.60 , pp. 828-842
    • Stockham, T.G.1
  • 7
    • 84948593042 scopus 로고
    • Rate-distortion theory and application
    • July
    • L. D. Davisson, “Rate-distortion theory and application,” Proc. IEEE, vol. 60, pp. 800-808, July 1972.
    • (1972) Proc. IEEE , vol.60 , pp. 800-808
    • Davisson, L.D.1
  • 10
    • 84948611735 scopus 로고
    • Transform picture coding
    • July
    • P. A. Wintz, “Transform picture coding,” Proc. IEEE, vol. 60, pp. 809-820, July 1972.
    • (1972) Proc. IEEE , vol.60 , pp. 809-820
    • Wintz, P.A.1
  • 11
    • 84939377414 scopus 로고
    • Digital imagery data compression techniques
    • McDonnell Douglas Corporation, Rep. MDC-GO 402, Jan.
    • J. D. Kennedy, S. J. Clark, and W. A. Parkyn, Jr., “Digital imagery data compression techniques,” McDonnell Douglas Corporation, Rep. MDC-GO 402, Jan. 1970.
    • (1970)
    • Kennedy, J.D.1    Clark, S.J.2    Parkyn, W.A.3
  • 12
    • 0015127540 scopus 로고
    • A numerical method for solving Fredholm integral equations of the first kind using singular values
    • Sept.
    • R. J. Hanson, “A numerical method for solving Fredholm integral equations of the first kind using singular values,” SIAM J. Numer. Anal., vol. 8, pp. 616-622, Sept. 1971.
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 616-622
    • Hanson, R.J.1
  • 13
    • 0000296726 scopus 로고
    • On the numerical solution of ill-conditioned linear systems with applications to ill-posed problems
    • Apr.
    • J. M. Varah, “On the numerical solution of ill-conditioned linear systems with applications to ill-posed problems,” SIAM J. Numer. Anal., vol. 10, pp. 257-267, Apr. 1973.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 257-267
    • Varah, J.M.1
  • 14
    • 84948604587 scopus 로고
    • Image restoration: The removal of spatially invariant degradations
    • July
    • M. M. Sondhi, “Image restoration: The removal of spatially invariant degradations,” Proc. IEEE, vol. 60, pp. 842-853, July 1972.
    • (1972) Proc. IEEE , vol.60 , pp. 842-853
    • Sondhi, M.M.1
  • 15
    • 0015607621 scopus 로고
    • A numerical algorithm for identifying spread functions of shift-invariant imaging systems
    • Apr.
    • M. P. Ekstrom, “A numerical algorithm for identifying spread functions of shift-invariant imaging systems,” IEEE Trans. Comput., vol. C-22, pp. 322-328, Apr. 1973.
    • (1973) IEEE Trans. Comput. , vol.C-22 , pp. 322-328
    • Ekstrom, M.P.1
  • 16
    • 84939050513 scopus 로고
    • Computational aspects of solving planar integral equations by regularization
    • Nov. 15-17
    • “Computational aspects of solving planar integral equations by regularization, Proc. 6th Asilomar Conf. Circuits Systems, Nov. 15-17, 1972, pp. 489-493.
    • (1972) Proc. 6th Asilomar Conf. Circuits Systems , pp. 489-493
  • 17
    • 1542326720 scopus 로고
    • A note on the variance of a matrix
    • D. Nissen, “A note on the variance of a matrix,” Econometrics, vol. 36, pp. 603-604, 1968.
    • (1968) Econometrics , vol.36 , pp. 603-604
    • Nissen, D.1
  • 18
    • 0001771568 scopus 로고
    • The design of multistage separable planar filters
    • Jan.
    • S. Treitel and J. L. Shanks, “The design of multistage separable planar filters,” IEEE Trans. Geosci. Electron., vol. GE-9, pp. 10-27, Jan. 1971.
    • (1971) IEEE Trans. Geosci. Electron. , vol.GE-9 , pp. 10-27
    • Treitel, S.1    Shanks, J.L.2
  • 20
    • 0015315708 scopus 로고
    • A theorem on the difficulty of numerical de-convolution
    • Mar.
    • B. R. Hunt, “A theorem on the difficulty of numerical de-convolution,” IEEE Trans. Audio Electroacoust. (Corresp.), vol. AU-20, pp. 94-95, Mar. 1972.
    • (1972) IEEE Trans. Audio Electroacoust. (Corresp.) , vol.AU-20 , pp. 94-95
    • Hunt, B.R.1
  • 21
    • 84939071093 scopus 로고    scopus 로고
    • An iterative improvement approach to the numerical solution of vector Toeplitz systems
    • to be published
    • M. P. Ekstrom, “An iterative improvement approach to the numerical solution of vector Toeplitz systems, IEEE Trans. Comput., to be published.
    • IEEE Trans. Comput.
    • Ekstrom, M.P.1
  • 23
    • 80054689517 scopus 로고
    • Hadamard transform image coding
    • Jan.
    • W. K. Pratt, J. Kane, and H. C. Andrews, “Hadamard transform image coding,” Proc. IEEE, vol. 57, pp. 58-68, Jan. 1969.
    • (1969) Proc. IEEE , vol.57 , pp. 58-68
    • Pratt, W.K.1    Kane, J.2    Andrews, H.C.3
  • 24
    • 84939390174 scopus 로고    scopus 로고
    • On the application of eigenvector expansions to numerical deconvolution
    • to be published.
    • M. P. Ekstrom, “On the application of eigenvector expansions to numerical deconvolution,” Comput. Phys., to be published.
    • Comput. Phys.
    • Ekstrom, M.P.1
  • 25
    • 0015660455 scopus 로고
    • The application of constrained least squares estimation to image restoration by digital computer
    • Sept.
    • B. R. Hunt, “The application of constrained least squares estimation to image restoration by digital computer,” IEEE Trans. Comput., vol. C-22, pp. 805-812, Sept. 1973.
    • (1973) IEEE Trans. Comput. , vol.C-22 , pp. 805-812
    • Hunt, B.R.1
  • 26
    • 0015651215 scopus 로고
    • A spectral characterization of the ill-conditioning in numerical deconvolution
    • Aug.
    • M. P. Ekstrom, “A spectral characterization of the ill-conditioning in numerical deconvolution,” IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 344-348, Aug. 1973.
    • (1973) IEEE Trans. Audio Electroacoust. , vol.AU-21 , pp. 344-348
    • Ekstrom, M.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.