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Volumn 61, Issue 3, 2009, Pages 715-751

Jump-preserving surface reconstruction from noisy data

Author keywords

Denoising; Edge detection; Gradient; Image reconstruction; Local linear kernel estimation; Local smoothing; Neighborhood; One sided estimators; Surface estimation

Indexed keywords

DENOISING; GRADIENT; LOCAL LINEAR KERNEL ESTIMATION; LOCAL SMOOTHING; NEIGHBORHOOD; ONE-SIDED ESTIMATORS; SURFACE ESTIMATION;

EID: 68649127879     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-007-0166-9     Document Type: Article
Times cited : (22)

References (40)
  • 1
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures (with discussion)
    • J. Besag 1986 On the statistical analysis of dirty pictures (with discussion) Journal of the Royal Statistical Society, B 48 259 302
    • (1986) Journal of the Royal Statistical Society, B , vol.48 , pp. 259-302
    • Besag, J.1
  • 7
    • 0033690449 scopus 로고    scopus 로고
    • Exact distribution of edge-preserving MAP estimators for linear signal models with Gaussian measurement noise
    • J.A. Fessler H. Erdogan W.B. Wu 2000 Exact distribution of edge-preserving MAP estimators for linear signal models with Gaussian measurement noise IEEE Transactions on Image Processing 9 1049 1055
    • (2000) IEEE Transactions on Image Processing , vol.9 , pp. 1049-1055
    • Fessler, J.A.1    Erdogan, H.2    Wu, W.B.3
  • 13
    • 0041309832 scopus 로고    scopus 로고
    • Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces
    • P. Hall Molchanov 2003 Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces The Annals of Statistics 31 921 941
    • (2003) The Annals of Statistics , vol.31 , pp. 921-941
    • Hall, P.1    Molchanov2
  • 15
    • 0034361724 scopus 로고    scopus 로고
    • Tracking a smooth fault line in a response surface
    • P. Hall C. Rau 2000 Tracking a smooth fault line in a response surface The Annals of Statistics 28 713 733
    • (2000) The Annals of Statistics , vol.28 , pp. 713-733
    • Hall, P.1    Rau, C.2
  • 17
    • 0036469702 scopus 로고    scopus 로고
    • Nonlinear anisotropic diffusion filtering for multiscale edge enhancement
    • S.L. Keeling R. Stollberger 2002 Nonlinear anisotropic diffusion filtering for multiscale edge enhancement Inverse Problems 18 175 190
    • (2002) Inverse Problems , vol.18 , pp. 175-190
    • Keeling, S.L.1    Stollberger, R.2
  • 22
    • 0028443674 scopus 로고
    • A regularized contrast statistic for object boundary estimation- implementation and statistical evaluation
    • F. O'Sullivan M. Qian 1994 A regularized contrast statistic for object boundary estimation-implementation and statistical evaluation IEEE Transactions on Pattern Analysis and Machine Intelligence 16 561 570
    • (1994) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.16 , pp. 561-570
    • O'Sullivan, F.1    Qian, M.2
  • 25
    • 0001757599 scopus 로고    scopus 로고
    • Nonparametric estimation of jump surface
    • P. Qiu 1997 Nonparametric estimation of jump surface Sankhyā (A) 59 268 294
    • (1997) Sankhyā (A) , vol.59 , pp. 268-294
    • Qiu, P.1
  • 26
    • 0032250425 scopus 로고    scopus 로고
    • Discontinuous regression surfaces fitting
    • P. Qiu 1998 Discontinuous regression surfaces fitting The Annals of Statistics 26 2218 2245
    • (1998) The Annals of Statistics , vol.26 , pp. 2218-2245
    • Qiu, P.1
  • 27
    • 0036930813 scopus 로고    scopus 로고
    • A nonparametric procedure to detect jumps in regression surfaces
    • P. Qiu 2002 A nonparametric procedure to detect jumps in regression surfaces Journal of Computational and Graphical Statistics 11 799 822
    • (2002) Journal of Computational and Graphical Statistics , vol.11 , pp. 799-822
    • Qiu, P.1
  • 28
    • 0242720032 scopus 로고    scopus 로고
    • A jump-preserving curve fitting procedure based on local piecewise-linear kernel estimation
    • P. Qiu 2003 A jump-preserving curve fitting procedure based on local piecewise-linear kernel estimation Journal of Nonparametric Statistics 15 437 453
    • (2003) Journal of Nonparametric Statistics , vol.15 , pp. 437-453
    • Qiu, P.1
  • 29
    • 1542786170 scopus 로고    scopus 로고
    • The local piecewisely linear kernel smoothing procedure for fitting jump regression surfaces
    • P. Qiu 2004 The local piecewisely linear kernel smoothing procedure for fitting jump regression surfaces Technometrics 46 87 98
    • (2004) Technometrics , vol.46 , pp. 87-98
    • Qiu, P.1
  • 31
    • 34250703103 scopus 로고    scopus 로고
    • Jump surface estimation, edge detection, and image restoration
    • P. Qiu 2007 Jump surface estimation, edge detection, and image restoration Journal of the American Statistical Association 102 745 756
    • (2007) Journal of the American Statistical Association , vol.102 , pp. 745-756
    • Qiu, P.1
  • 33
    • 0030649677 scopus 로고    scopus 로고
    • On the use of Gibbs priors for Bayesian image restoration
    • G. Sebastiani F. Godtliebsen 1997 On the use of Gibbs priors for Bayesian image restoration Signal Processing 56 111 118
    • (1997) Signal Processing , vol.56 , pp. 111-118
    • Sebastiani, G.1    Godtliebsen, F.2
  • 34
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • C. Stone 1982 Optimal global rates of convergence for nonparametric regression The Annals of Statistics 10 1040 1053
    • (1982) The Annals of Statistics , vol.10 , pp. 1040-1053
    • Stone, C.1
  • 35
    • 34250786750 scopus 로고    scopus 로고
    • Jump detection in regression surfaces using both first-order and second-order derivatives
    • J. Sun P. Qiu 2007 Jump detection in regression surfaces using both first-order and second-order derivatives Journal of Computational and Graphical Statistics 16 289 311
    • (2007) Journal of Computational and Graphical Statistics , vol.16 , pp. 289-311
    • Sun, J.1    Qiu, P.2
  • 36
    • 0001105923 scopus 로고
    • Common structure of smoothing techniques in statistics
    • D.M. Titterington 1985 Common structure of smoothing techniques in statistics International Statistical Review 53 141 170
    • (1985) International Statistical Review , vol.53 , pp. 141-170
    • Titterington, D.M.1
  • 40
    • 0029324998 scopus 로고
    • Discontinuity-preserving and viewpoint invariant reconstruction of visible surfaces using a first order regularization
    • J.H. Yi D.M. Chelberg 1995 Discontinuity-preserving and viewpoint invariant reconstruction of visible surfaces using a first order regularization IEEE Transactions on Pattern Analysis and Machine Intelligence 17 624 629
    • (1995) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.17 , pp. 624-629
    • Yi, J.H.1    Chelberg, D.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.