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Volumn 86, Issue 5, 2006, Pages 1109-1115

The use of total least squares data fitting in the shape-from-moments problem

Author keywords

GPOF; HTLS; Matrix pencil; Rank reduction; STLS

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 33644602893     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2005.09.008     Document Type: Article
Times cited : (11)

References (25)
  • 1
    • 0029252339 scopus 로고
    • Reconstructing polygons from moments with connections to array processing
    • P. Milanfar, G. Verghese, W. Karl, and A. Willsky Reconstructing polygons from moments with connections to array processing IEEE Trans. Signal Process. 43 February 1995 432 443
    • (1995) IEEE Trans. Signal Process. , vol.43 , pp. 432-443
    • Milanfar, P.1    Verghese, G.2    Karl, W.3    Willsky, A.4
  • 2
    • 0033293081 scopus 로고    scopus 로고
    • A stable numerical method for inverting shape from moments
    • G.H. Golub, P. Milanfar, and J. Varah A stable numerical method for inverting shape from moments SIAM J. Sci. Comput. 21 4 December 1999 1222 1243
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.4 , pp. 1222-1243
    • Golub, G.H.1    Milanfar, P.2    Varah, J.3
  • 3
    • 0041521798 scopus 로고    scopus 로고
    • Reconstructing planar domains from their moments
    • B. Gustafsson, C. He, P. Milanfar, and M. Putinar Reconstructing planar domains from their moments Inverse Problems 16 4 August 2000 1053 1070
    • (2000) Inverse Problems , vol.16 , Issue.4 , pp. 1053-1070
    • Gustafsson, B.1    He, C.2    Milanfar, P.3    Putinar, M.4
  • 4
    • 3142728626 scopus 로고    scopus 로고
    • Shape from moments - An estimation theory perspective
    • M. Elad, P. Milanfar, and G.H. Golub Shape from moments - an estimation theory perspective IEEE Trans. Signal Process. 52 July 2004 1814 1829
    • (2004) IEEE Trans. Signal Process. , vol.52 , pp. 1814-1829
    • Elad, M.1    Milanfar, P.2    Golub, G.H.3
  • 5
    • 0348240221 scopus 로고
    • Algorithm for time-domain nmr data fitting based on total least squares
    • S. Van Huffel, H. Chen, C. Decanniers, and P. Van Hecke Algorithm for time-domain nmr data fitting based on total least squares J. Magnetic Resonance A 110 October 1994 228 237
    • (1994) J. Magnetic Resonance A , vol.110 , pp. 228-237
    • Van Huffel, S.1    Chen, H.2    Decanniers, C.3    Van Hecke, P.4
  • 7
    • 4043182246 scopus 로고    scopus 로고
    • Structured total least squares: Analysis, algorithms and applications
    • S. Van Huffel P. Lemmerling Kluwer Academic Publishers Dordrecht
    • P. Lemmerling, and S. Van Huffel Structured total least squares: analysis, algorithms and applications S. Van Huffel P. Lemmerling Total Least Squares and Errors-in-Variables Modelling 2002 Kluwer Academic Publishers Dordrecht 79 91
    • (2002) Total Least Squares and Errors-in-Variables Modelling , pp. 79-91
    • Lemmerling, P.1    Van Huffel, S.2
  • 8
    • 0035452301 scopus 로고    scopus 로고
    • IQML-like algorithms for solving structured total least squares problems: A unified view
    • P. Lemmerling, L. Vanhamme, S. Van Huffel, and B. De Moor IQML-like algorithms for solving structured total least squares problems: a unified view Signal Processing 81 September 2001 1935 1945
    • (2001) Signal Processing , vol.81 , pp. 1935-1945
    • Lemmerling, P.1    Vanhamme, L.2    Van Huffel, S.3    De Moor, B.4
  • 9
    • 0025431693 scopus 로고
    • Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
    • Y. Hua, and T.K. Sarkar Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise IEEE Trans. Acoust. Speech Signal Process. 38 May 1990 814 824
    • (1990) IEEE Trans. Acoust. Speech Signal Process. , vol.38 , pp. 814-824
    • Hua, Y.1    Sarkar, T.K.2
  • 10
    • 0022696598 scopus 로고
    • On the uniqueness of the inverse logarithmic potential problem
    • V. Strakhov, and M. Brodsky On the uniqueness of the inverse logarithmic potential problem SIAM J. Appl. Math. 46 2 1986 324 344
    • (1986) SIAM J. Appl. Math. , vol.46 , Issue.2 , pp. 324-344
    • Strakhov, V.1    Brodsky, M.2
  • 11
    • 0023827797 scopus 로고
    • Signal enhancement: A composite property mapping algorithm
    • J.A. Cadzow Signal enhancement: a composite property mapping algorithm IEEE Trans. Acoust. Speech Signal Process. 36 1 January 1988 49 62
    • (1988) IEEE Trans. Acoust. Speech Signal Process. , vol.36 , Issue.1 , pp. 49-62
    • Cadzow, J.A.1
  • 12
    • 0343884575 scopus 로고    scopus 로고
    • Decomposing a signal into a sum of exponentials
    • R. Chan T. Chan G. Golub Springer Singapore
    • F. Luk, and D. Vandevoorde Decomposing a signal into a sum of exponentials R. Chan T. Chan G. Golub Iterative Methods in Scientific Computing 1997 Springer Singapore 329 357
    • (1997) Iterative Methods in Scientific Computing , pp. 329-357
    • Luk, F.1    Vandevoorde, D.2
  • 13
    • 33644604346 scopus 로고    scopus 로고
    • The generalized eigenvalue problem for non-square pencils using a minimal perturbation approach
    • G. Boutry, M. Elad, G. Golub, and P. Milanfar The generalized eigenvalue problem for non-square pencils using a minimal perturbation approach SIAM J. Matrix Anal. Appl. 27 2 2005 582 601
    • (2005) SIAM J. Matrix Anal. Appl. , vol.27 , Issue.2 , pp. 582-601
    • Boutry, G.1    Elad, M.2    Golub, G.3    Milanfar, P.4
  • 14
    • 0742306128 scopus 로고    scopus 로고
    • On the shape from moments problem and recovering edges from noisy radon data
    • A. Goldenshluger, and V. Spokoiny On the shape from moments problem and recovering edges from noisy radon data Probability Theory and Related Fields 128 1 January 2004 123 140
    • (2004) Probability Theory and Related Fields , vol.128 , Issue.1 , pp. 123-140
    • Goldenshluger, A.1    Spokoiny, V.2
  • 16
    • 0031075386 scopus 로고    scopus 로고
    • A parameter estimation scheme for damped sinusoidal signals based on low-rank Hankel approximation
    • Y. Li, K.J.R. Liu, and J. Razavilar A parameter estimation scheme for damped sinusoidal signals based on low-rank Hankel approximation IEEE Trans. Signal Process. 45 February 1997 481 486
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 481-486
    • Li, Y.1    Liu, K.J.R.2    Razavilar, J.3
  • 17
    • 0032024692 scopus 로고    scopus 로고
    • Structured low-rank matrix pencil for spectral estimation and system identification
    • J. Razavilar, Y. Li, and K.J.R. Liu Structured low-rank matrix pencil for spectral estimation and system identification Signal Processing 65 March 1998 363 372
    • (1998) Signal Processing , vol.65 , pp. 363-372
    • Razavilar, J.1    Li, Y.2    Liu, K.J.R.3
  • 18
    • 0004236492 scopus 로고    scopus 로고
    • third ed. The Johns Hopkins University Press Baltimore, MD
    • G.H. Golub, and C. Van Loan Matrix Computations third ed. 1996 The Johns Hopkins University Press Baltimore, MD
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.2
  • 19
    • 30344479346 scopus 로고
    • SVD-based low-rank approximations of rational models
    • R. Vaccaro Elsevier Amsterdam
    • A. van der Veen, and E.F. Deprettere SVD-based low-rank approximations of rational models R. Vaccaro SVD and Signal Processing II 1991 Elsevier Amsterdam 431 454
    • (1991) SVD and Signal Processing II , pp. 431-454
    • Van Der Veen, A.1    Deprettere, E.F.2
  • 21
    • 0026151452 scopus 로고
    • The constrained total least squares technique and its application to harmonic superresolution
    • T. Abatzoglou, J. Mendel, and G. Harada The constrained total least squares technique and its application to harmonic superresolution IEEE Trans. Signal Process. 39 May 1991 1070 1087
    • (1991) IEEE Trans. Signal Process. , vol.39 , pp. 1070-1087
    • Abatzoglou, T.1    Mendel, J.2    Harada, G.3
  • 22
    • 0030270157 scopus 로고    scopus 로고
    • Formulation and solution of structured total least norm problems for parameter estimation
    • S. VanHuffel, H. Park, and J.B. Rosen Formulation and solution of structured total least norm problems for parameter estimation IEEE Trans. Signal Process. 44 10 October 1996
    • (1996) IEEE Trans. Signal Process. , vol.44 , Issue.10
    • Vanhuffel, S.1    Park, H.2    Rosen, J.B.3
  • 23
    • 4644259283 scopus 로고    scopus 로고
    • Multiple delays estimation for chirp signals using structured total least squares
    • A. Yeredor Multiple delays estimation for chirp signals using structured total least squares Linear Algebra and its Appl. 391 November 2004 261 286
    • (2004) Linear Algebra and Its Appl. , vol.391 , pp. 261-286
    • Yeredor, A.1
  • 24
    • 0022796219 scopus 로고
    • Exact maximum likelihood parameter estimation of superimposed exponential signals in noise
    • Y. Bresler, and A. Macovski Exact maximum likelihood parameter estimation of superimposed exponential signals in noise IEEE Trans. Acoust. Speech Signal Process. 34 5 October 1986 1081 1089
    • (1986) IEEE Trans. Acoust. Speech Signal Process. , vol.34 , Issue.5 , pp. 1081-1089
    • Bresler, Y.1    MacOvski, A.2
  • 25
    • 0037390670 scopus 로고    scopus 로고
    • Separable nonlinear least squares: The variable projection method and its applications
    • G.H. Golub, and V. Pereyra Separable nonlinear least squares: the variable projection method and its applications Inverse Problems 19 2 April 2003 R1 R26
    • (2003) Inverse Problems , vol.19 , Issue.2
    • Golub, G.H.1    Pereyra, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.