메뉴 건너뛰기




Volumn 56, Issue 3, 2008, Pages 873-886

Spatially adaptive estimation via fitted local likelihood techniques

Author keywords

Adaptive non Gaussian image denoising; Adaptive nonparametric regression; Anisotropic imaging; Fitted local likelihood (FLL); Non Gaussian denoising; Poissonian denoising; Varying threshold parameters

Indexed keywords

ADAPTIVE ALGORITHMS; ESTIMATION; MATHEMATICAL MODELS; REGRESSION ANALYSIS; STATISTICS;

EID: 40749136970     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.907873     Document Type: Article
Times cited : (15)

References (25)
  • 1
    • 40749118981 scopus 로고    scopus 로고
    • J. Fan J. and I. Gijbels, Local Polynomial Modelling and its Application. London, U.K.: Chapman & Hall, 1996.
    • J. Fan J. and I. Gijbels, Local Polynomial Modelling and its Application. London, U.K.: Chapman & Hall, 1996.
  • 2
    • 0003839516 scopus 로고    scopus 로고
    • Local regression and likelihood
    • New York: Springer-Verlag
    • C. Loader, "Local regression and likelihood," in Series Statistics and Computing. New York: Springer-Verlag, 1999.
    • (1999) Series Statistics and Computing
    • Loader, C.1
  • 3
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • D. L. Donoho and Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone2
  • 4
    • 0031504935 scopus 로고    scopus 로고
    • Ideal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selection
    • O. Lepski, E. Mammen, and V. Spokoiny, "Ideal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selection," Ann. Stat., vol. 25, no. 3, pp. 929-947, 1997.
    • (1997) Ann. Stat , vol.25 , Issue.3 , pp. 929-947
    • Lepski, O.1    Mammen, E.2    Spokoiny, V.3
  • 5
    • 0000527969 scopus 로고    scopus 로고
    • On spatial adaptive estimation of nonparametric regression
    • A. Goldenshluger and A. Nemirovski, "On spatial adaptive estimation of nonparametric regression," Math. Meth. Stat., vol. 6, pp. 135-170, 1997.
    • (1997) Math. Meth. Stat , vol.6 , pp. 135-170
    • Goldenshluger, A.1    Nemirovski, A.2
  • 6
    • 0000012624 scopus 로고
    • One problem of adaptive estimation in Gaussian white noise
    • O. V. Lepski, "One problem of adaptive estimation in Gaussian white noise," Theory Probab. Appl., vol. 35, no. 3, pp. 459-470, 1990.
    • (1990) Theory Probab. Appl , vol.35 , Issue.3 , pp. 459-470
    • Lepski, O.V.1
  • 7
    • 0031327277 scopus 로고    scopus 로고
    • Optimal pointwise adaptive methods in nonparametric estimation
    • O. Lepski and V. Spokoiny, "Optimal pointwise adaptive methods in nonparametric estimation," Ann. Stat., vol. 25, no. 6, pp. 2512-2546, 1997.
    • (1997) Ann. Stat , vol.25 , Issue.6 , pp. 2512-2546
    • Lepski, O.1    Spokoiny, V.2
  • 8
    • 0032644614 scopus 로고    scopus 로고
    • A new method for varying adaptive bandwidth selection
    • Sep
    • V. Katkovnik, "A new method for varying adaptive bandwidth selection," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2567-2571, Sep. 1999.
    • (1999) IEEE Trans. Signal Process , vol.47 , Issue.9 , pp. 2567-2571
    • Katkovnik, V.1
  • 9
    • 0036588857 scopus 로고    scopus 로고
    • Adaptive window size image de-noising based on intersection of confidence intervals (ICI) rule
    • V. Katkovnik, K. Egiazarian, and J. Astola, "Adaptive window size image de-noising based on intersection of confidence intervals (ICI) rule," J. Math. Imag. Vis., vol. 16, no. 3, pp. 223-235, 2002.
    • (2002) J. Math. Imag. Vis , vol.16 , Issue.3 , pp. 223-235
    • Katkovnik, V.1    Egiazarian, K.2    Astola, J.3
  • 10
    • 2442438844 scopus 로고    scopus 로고
    • Performance analysis of the adaptive algorithm for bias-to-variance trade-off
    • May
    • L. J. Stanković, "Performance analysis of the adaptive algorithm for bias-to-variance trade-off," IEEE Trans. Signal Process., vol. 52, no. 5, pp. 1228-1234, May 2004.
    • (2004) IEEE Trans. Signal Process , vol.52 , Issue.5 , pp. 1228-1234
    • Stanković, L.J.1
  • 11
    • 34548258971 scopus 로고    scopus 로고
    • Ph.D. Thesis, Dip. di Matematica, Politecnico di Milano, Milan, Italy, Apr, ERLTDD-D01290, Online, Available
    • A. Foi, "Anisotropic nonparametric image processing: Theory, algorithms and applications" Ph.D. Thesis, Dip. di Matematica, Politecnico di Milano, Milan, Italy, Apr. 2005, ERLTDD-D01290, [Online]. Available: www.cs.tut.fi/~lasip
    • (2005) Anisotropic nonparametric image processing: Theory, algorithms and applications
    • Foi, A.1
  • 13
    • 33646008274 scopus 로고    scopus 로고
    • Propagation-separation approach for local likelihood estimation
    • J. Polzehl and V. Spokoiny, "Propagation-separation approach for local likelihood estimation," Probab. Theory Relat. Fields, vol. 135, no. 3, pp. 335-362, 2005.
    • (2005) Probab. Theory Relat. Fields , vol.135 , Issue.3 , pp. 335-362
    • Polzehl, J.1    Spokoiny, V.2
  • 19
    • 0036612499 scopus 로고    scopus 로고
    • The curvelet transform for image denoising
    • J. L. Starck, E. J. Candes, and D. L. Donoho, "The curvelet transform for image denoising," IEEE Trans. Image Process., vol. 11, no. 6, pp. 670-684, 2002.
    • (2002) IEEE Trans. Image Process , vol.11 , Issue.6 , pp. 670-684
    • Starck, J.L.1    Candes, E.J.2    Donoho, D.L.3
  • 21
    • 0030196364 scopus 로고    scopus 로고
    • Stacked regression
    • L. Breiman, "Stacked regression," Mach. Learn., vol. 24, pp. 49-64, 1996.
    • (1996) Mach. Learn , vol.24 , pp. 49-64
    • Breiman, L.1
  • 22
    • 0032628620 scopus 로고    scopus 로고
    • Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging
    • K. E. Timmermann and R. Nowak, "Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging," IEEE Trans. Inf. Theory, vol. 45, no. 3, pp. 846-862, 1999.
    • (1999) IEEE Trans. Inf. Theory , vol.45 , Issue.3 , pp. 846-862
    • Timmermann, K.E.1    Nowak, R.2
  • 23
    • 0032634507 scopus 로고    scopus 로고
    • Wavelet-domain filtering for photon imaging systems
    • R. D. Nowak and R. G. Baraniuk, "Wavelet-domain filtering for photon imaging systems," IEEE Trans. Image Process., vol. 8, no. 5, pp. 666-678, 1999.
    • (1999) IEEE Trans. Image Process , vol.8 , Issue.5 , pp. 666-678
    • Nowak, R.D.1    Baraniuk, R.G.2
  • 24
    • 0038321621 scopus 로고    scopus 로고
    • Platelets: A multiscale approach for recovering edges and surfaces in photon-limited medical imaging
    • R. M. Willett and R. D. Nowak, "Platelets: A multiscale approach for recovering edges and surfaces in photon-limited medical imaging," IEEE Trans. Med. Imag., vol. 22, no. 3, pp. 332-350, 2003.
    • (2003) IEEE Trans. Med. Imag , vol.22 , Issue.3 , pp. 332-350
    • Willett, R.M.1    Nowak, R.D.2
  • 25
    • 3843059068 scopus 로고    scopus 로고
    • Improved Poisson intensity estimation: Denoising application using Poisson data
    • H. Lu, Y. Kim, and J. M. M. Anderson, "Improved Poisson intensity estimation: Denoising application using Poisson data," IEEE Trans. Image Process., vol. 13, no. 8, pp. 1128-1135, 2004.
    • (2004) IEEE Trans. Image Process , vol.13 , Issue.8 , pp. 1128-1135
    • Lu, H.1    Kim, Y.2    Anderson, J.M.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.