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Volumn 1997, Issue , 1997, Pages 1-12

Stable evaluation of differential operators and linear and nonlinear multi-scale filtering

Author keywords

Bounded variation norm; Image reconstruction; Inverse problems; Nondifferntiable optimization problems; Regularization

Indexed keywords


EID: 0342514018     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. Chambolle and P.-L. Lions. Image recovery via total variation minimization and related problems. Numer. Math., 72:168-188, 1997.
    • (1997) Numer. Math. , vol.72 , pp. 168-188
    • Chambolle, A.1    Lions, P.-L.2
  • 2
    • 0001341095 scopus 로고
    • An image enhancement technique for electrical impedance tomography
    • D. Dobson and F. Santosa. An image enhancement technique for electrical impedance tomography. Inverse Problems, 10:317-334, 1994.
    • (1994) Inverse Problems , vol.10 , pp. 317-334
    • Dobson, D.1    Santosa, F.2
  • 3
    • 0009176284 scopus 로고    scopus 로고
    • Analysis of regularized total variation penalty methods for denoising
    • D. Dobson and O. Scherzer. Analysis of regularized total variation penalty methods for denoising. Inverse Problems, 12:601-617, 1996.
    • (1996) Inverse Problems , vol.12 , pp. 601-617
    • Dobson, D.1    Scherzer, O.2
  • 4
    • 3042603774 scopus 로고    scopus 로고
    • Convergence of an iterative method for total variation denoising
    • to appear
    • D. Dobson and C.R. Vogel. Convergence of an iterative method for total variation denoising. SIAM J. on Numerical Analysis. to appear.
    • SIAM J. on Numerical Analysis
    • Dobson, D.1    Vogel, C.R.2
  • 6
    • 38249011590 scopus 로고
    • Spectral methods for linear inverse problems with unbounded operators
    • C. W. Groetsch. Spectral methods for linear inverse problems with unbounded operators. J. Approx. Th., 70:16-28, 1992.
    • (1992) J. Approx. Th. , vol.70 , pp. 16-28
    • Groetsch, C.W.1
  • 7
    • 0011570832 scopus 로고
    • Optimal order of convergence for stable evaluation of differential operators
    • C. W. Groetsch and O. Scherzer. Optimal order of convergence for stable evaluation of differential operators. Electronic Journal of Differential Equations, 1993 No.4:1-10, 1993.
    • (1993) Electronic Journal of Differential Equations , vol.4 , pp. 1-10
    • Groetsch, C.W.1    Scherzer, O.2
  • 8
    • 0003323928 scopus 로고
    • Inverse source problems
    • Providence
    • V. Isakov. Inverse Source Problems. Amer. Math. Soc., Providence, 1990.
    • (1990) Amer. Math. Soc.
    • Isakov, V.1
  • 9
    • 0021136434 scopus 로고
    • The structure of images
    • J. J. Koenderink. The structure of images. Biol. Cybern., 50:363-370, 1984.
    • (1984) Biol. Cybern. , vol.50 , pp. 363-370
    • Koenderink, J.J.1
  • 12
    • 0025474774 scopus 로고
    • Feature oriented image enhancement using shock filters
    • S. Osher and L. Rudin. Feature oriented image enhancement using shock filters. SIAM J. on Numerical Analysis, 27:919-940, 1990.
    • (1990) SIAM J. on Numerical Analysis , vol.27 , pp. 919-940
    • Osher, S.1    Rudin, L.2
  • 13
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithm
    • L.I. Rudin, S. Osher, and E. Fatemi. Nonlinear total variation based noise removal algorithms. Physica D, 60:259-268, 1992.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 15
    • 0001556589 scopus 로고    scopus 로고
    • Iterative methods for total variation denoising
    • C. Vogel and M. Oman. Iterative methods for total variation denoising. SIAM J. Stat. Sci. Comput, 17:227-238, 1996.
    • (1996) SIAM J. Stat. Sci. Comput , vol.17 , pp. 227-238
    • Vogel, C.1    Oman, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.