메뉴 건너뛰기




Volumn 10, Issue 4, 2004, Pages 351-376

The multichannel deconvolution problem: A discrete analysis

Author keywords

Bezout equation; Deconvolution

Indexed keywords


EID: 4544311808     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-004-0953-0     Document Type: Article
Times cited : (9)

References (39)
  • 2
    • 51249174832 scopus 로고
    • Inversion of the local Pompeia transform
    • Berenstein, C.A., Gay, R., and Yger, A. (1990). Inversion of the local Pompeia transform, J. D'Anal. Math., 54, 259-287.
    • (1990) J. D'Anal. Math. , vol.54 , pp. 259-287
    • Berenstein, C.A.1    Gay, R.2    Yger, A.3
  • 4
    • 0025419676 scopus 로고
    • Exact deconvolution for multiple convolution operators: An overview plus performance characterizations for imaging sensors
    • Berenstein, C.A. and Patrick, E.V. (1990). Exact deconvolution for multiple convolution operators: an overview plus performance characterizations for imaging sensors, Proc. IEEE, 78, 723-734.
    • (1990) Proc. IEEE , vol.78 , pp. 723-734
    • Berenstein, C.A.1    Patrick, E.V.2
  • 5
    • 0002801703 scopus 로고
    • On explicit solutions to the Bezout equation
    • Berenstein, C.A. and Struppa, D.C. (1984). On explicit solutions to the Bezout equation, Syst. Control Lett., 4(1), 33-39.
    • (1984) Syst. Control Lett. , vol.4 , Issue.1 , pp. 33-39
    • Berenstein, C.A.1    Struppa, D.C.2
  • 6
    • 4544271727 scopus 로고
    • Small degree solutions for the polynomial Bezout equation
    • Berenstein, C.A. and Struppa, D.C. (1986). Small degree solutions for the polynomial Bezout equation, Linear Algebra Appl., 98, 41-55.
    • (1986) Linear Algebra Appl. , vol.98 , pp. 41-55
    • Berenstein, C.A.1    Struppa, D.C.2
  • 8
    • 0001285318 scopus 로고
    • Le problème de la déconvolution
    • Berenstein, C.A. and Yger, A. (1983). Le problème de la déconvolution, J. Funct. Anal., 113-160.
    • (1983) J. Funct. Anal. , pp. 113-160
    • Berenstein, C.A.1    Yger, A.2
  • 10
    • 36149042347 scopus 로고
    • Sur quelques formules explicites de deconvolution
    • Berenstein, C.A., Yger, A., and Taylor, B.A. (1983). Sur quelques formules explicites de deconvolution, J. Optics (Paris), 14, 75-82.
    • (1983) J. Optics (Paris) , vol.14 , pp. 75-82
    • Berenstein, C.A.1    Yger, A.2    Taylor, B.A.3
  • 11
    • 0018711879 scopus 로고
    • Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
    • Björck, Ȧ. and Elfving, T. (1979). Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations, BIT, 19, 145-163.
    • (1979) BIT , vol.19 , pp. 145-163
    • Björck, A.1    Elfving, T.2
  • 13
    • 0028742784 scopus 로고
    • Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms
    • Casey, S.D. and Walnut, D.F. (1994). Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms, SIAM Rev., 36(4), 537-577.
    • (1994) SIAM Rev. , vol.36 , Issue.4 , pp. 537-577
    • Casey, S.D.1    Walnut, D.F.2
  • 14
    • 0029288068 scopus 로고
    • Nonlinear solution of inverse problems by wavelet-vaguelette decompositions
    • Donoho, D. (1995). Nonlinear solution of inverse problems by wavelet-vaguelette decompositions, J. Appl. Comput. Harmonic Anal., 2(2), 101-126.
    • (1995) J. Appl. Comput. Harmonic Anal. , vol.2 , Issue.2 , pp. 101-126
    • Donoho, D.1
  • 16
    • 0003235719 scopus 로고    scopus 로고
    • Rank-deficient and discrete ill-posed problems: Numerical aspects of linear inversion
    • Philadelphia
    • Hansen, P.C. (1998). Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion, SIAM, Philadelphia.
    • (1998) SIAM
    • Hansen, P.C.1
  • 18
    • 0032687841 scopus 로고    scopus 로고
    • Exact image deconvolution from multiple FIR blurs
    • Harikumar, G. and Bresler, Y. (1999). Exact image deconvolution from multiple FIR blurs, IEEE Trans. Image Proc., 8(6), 846-862.
    • (1999) IEEE Trans. Image Proc. , vol.8 , Issue.6 , pp. 846-862
    • Harikumar, G.1    Bresler, Y.2
  • 21
    • 0031650685 scopus 로고    scopus 로고
    • FIR perfect signal reconstruction from multiple convolutions: Minimum deconvolver orders
    • Karikumar, G. and Bresler, Y. (1998). FIR perfect signal reconstruction from multiple convolutions: minimum deconvolver orders, IEEE Trans. Signal Proc., 46, 215-218.
    • (1998) IEEE Trans. Signal Proc. , vol.46 , pp. 215-218
    • Karikumar, G.1    Bresler, Y.2
  • 22
    • 38249016829 scopus 로고
    • A multiple input image restoration approach
    • Katsaggelos, A. (1990). A multiple input image restoration approach, J. Vis. Comm. Imag. Repre., 1, 93-103.
    • (1990) J. Vis. Comm. Imag. Repre. , vol.1 , pp. 93-103
    • Katsaggelos, A.1
  • 26
    • 0032163862 scopus 로고    scopus 로고
    • Solving ill-conditioned and singular linear systems: A tutorial on regularization
    • (electronic)
    • Neumaier, A. (1998). Solving ill-conditioned and singular linear systems: a tutorial on regularization, SIAM Rev., 40(3), 636-666, (electronic).
    • (1998) SIAM Rev. , vol.40 , Issue.3 , pp. 636-666
    • Neumaier, A.1
  • 29
    • 0002577781 scopus 로고
    • Image processing using additional statistical information about the object
    • Hawkes, P.W., Ed., Academic Press, New York
    • Schiske, P. (1973). Image processing using additional statistical information about the object, in Image Processing and Computer Aided Design in Electron Optics, Hawkes, P.W., Ed., Academic Press, New York.
    • (1973) Image Processing and Computer Aided Design in Electron Optics
    • Schiske, P.1
  • 34
    • 0032642932 scopus 로고    scopus 로고
    • Multichannel restoration with limited a priori information
    • Vrhel, M.J. and Unser, M. (1999). Multichannel restoration with limited a priori information, IEEE Trans. Image Proc., 8(4).
    • (1999) IEEE Trans. Image Proc. , vol.8 , Issue.4
    • Vrhel, M.J.1    Unser, M.2
  • 36
    • 84951603102 scopus 로고    scopus 로고
    • Nonperiodic sampling of bandlimited functions on unions of rectangular lattices
    • Walnut, D.F. (1996). Nonperiodic sampling of bandlimited functions on unions of rectangular lattices, J. Fourier Anal. Appl., 2(5), 435-452.
    • (1996) J. Fourier Anal. Appl. , vol.2 , Issue.5 , pp. 435-452
    • Walnut, D.F.1
  • 37
    • 1842715744 scopus 로고    scopus 로고
    • Solutions to deconvolution equations using nonperiodic sampling
    • Walnut, D.F. (1998). Solutions to deconvolution equations using nonperiodic sampling, J. Fourier Anal. Appl., 4(6), 669-709.
    • (1998) J. Fourier Anal. Appl. , vol.4 , Issue.6 , pp. 669-709
    • Walnut, D.F.1
  • 38
    • 34250956078 scopus 로고
    • The evaluation of the zeros of ill-conditioned polynomials, part 1 and 2
    • Wilkinson, J. (1959). The evaluation of the zeros of ill-conditioned polynomials, part 1 and 2, Numerische Mathematik, 1, 150-166/167-180.
    • (1959) Numerische Mathematik , vol.1 , pp. 150-166
    • Wilkinson, J.1
  • 39
    • 0028409233 scopus 로고
    • Deconvolution of multiple images of the same object
    • Yaroslavsky, L. and Caulfield, H.J. (1994). Deconvolution of multiple images of the same object, Applied Optics, 33(11), 2157-2162.
    • (1994) Applied Optics , vol.33 , Issue.11 , pp. 2157-2162
    • Yaroslavsky, L.1    Caulfield, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.