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Volumn 37, Issue 4, 2005, Pages 1098-1116

Partial regularity for a selective smoothing functional for image restoration in BV space

Author keywords

Bounded variation; Image proceeding; Image restoration; Noise removal; Partial regularity; Selective smooothing

Indexed keywords

BOUNDED VARIATION; IMAGE PROCEEDING; NOISE REMOVAL; PARTIAL REGULARITY; SELECTIVE SMOOTHING;

EID: 33746174211     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/050623887     Document Type: Article
Times cited : (5)

References (21)
  • 1
    • 36149030663 scopus 로고
    • Analysis of bounded variation penalty methods for ill-posed problems
    • R. ACAR AND C. R. VOGEL, Analysis of bounded variation penalty methods for ill-posed problems, Inverse Problems, 10 (1994), p. 1217.
    • (1994) Inverse Problems , vol.10 , pp. 1217
    • Acar, R.1    Vogel, C.R.2
  • 3
  • 4
    • 0011235023 scopus 로고
    • A variational method in image recovery
    • O. AUBERT AND L. VESE, A variational method in image recovery, SLAM J. Numer. Anal., 34 (1907), pp. 1948-1979.
    • (1907) SLAM J. Numer. Anal. , vol.34 , pp. 1948-1979
    • Aubert, O.1    Vese, L.2
  • 5
    • 0032026262 scopus 로고    scopus 로고
    • Color TV: Total variation methods for restoration of vector-valued images
    • P. BLOMGREN AND T. CHAN, Color TV: Total variation methods for restoration of vector-valued images, IEEE Trans. Image Processs., 7 (1998), pp. 304-309.
    • (1998) IEEE Trans. Image Processs. , vol.7 , pp. 304-309
    • Blomgren, P.1    Chan, T.2
  • 7
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. CHAMBOLLB AND P.L. LIONS, Image recovery via total variation minimization and related problems, Numer. Math. 76 (1997), pp. 167-188.
    • (1997) Numer. Math. , vol.76 , pp. 167-188
    • Chambollb, A.1    Lions, P.L.2
  • 8
    • 0030212858 scopus 로고    scopus 로고
    • Recovery of blocky images from noisy and blurred data
    • D. DOBSON AND F. SANTOSA, Recovery of blocky images from noisy and blurred data, SIAM J. Appl. Math., 56 (1996), pp. 1181-1198.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1181-1198
    • Dobson, D.1    Santosa, F.2
  • 9
    • 0001020536 scopus 로고
    • Convex functions of a measure and applications
    • F. DEMENGEL AND R. TEMAM, Convex functions of a measure and applications, Indiana Univ. Math. J., 33 (1984), pp. 673-709.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 673-709
    • Demengel, F.1    Temam, R.2
  • 14
    • 0030303822 scopus 로고    scopus 로고
    • Partial regularity for evolution problems with discontinuity
    • R. HARDT AND Y. TONEGAWA, Partial regularity for evolution problems with discontinuity, Manuscripta Math., 90 (1996), pp. 85-103.
    • (1996) Manuscripta Math. , vol.90 , pp. 85-103
    • Hardt, R.1    Tonegawa, Y.2
  • 15
    • 0000667207 scopus 로고
    • An evolution problem for linear growth functionals
    • R. HARDT AND X. ZHOU, An evolution problem for linear growth functionals, Commun. Partial Differential Equations, 19 (1994), pp. 1879-1907.
    • (1994) Commun. Partial Differential Equations , vol.19 , pp. 1879-1907
    • Hardt, R.1    Zhou, X.2
  • 16
    • 84996774871 scopus 로고
    • Total variation bated image restoration with free local constraints
    • Austin, TX
    • L. RUDIN AND S. OSHER, Total variation bated image restoration with free local constraints, in Proceedings of IEEE ICIP-94, Vol. 1, Austin, TX, 1994, pp. 31-36.
    • (1994) Proceedings of IEEE ICIP-94 , vol.1 , pp. 31-36
    • Rudin, L.1    Osher, S.2
  • 17
    • 0000391221 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. RUDIN, S. OSHER, AND E. FATEMI, Nonlinear total variation based noise removal algorithms, Phys. D 60, (1993), pp. 269-268.
    • (1993) Phys. D , vol.60 , pp. 269-1268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 18
    • 0011346267 scopus 로고
    • A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals
    • R. SCHOEN AND L. SIMON, A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals, Indiana Univ. Math. J., 31 (1982), pp. 415-434.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 415-434
    • Schoen, R.1    Simon, L.2
  • 19
    • 0346316863 scopus 로고    scopus 로고
    • Edge-preserving and total-dependent properties of total variation regularization
    • D. STRONG AND T. CHAN, Edge-preserving and total-dependent properties of total variation regularization, Inverse Problems, 19 (2003), pp. S166-S187.
    • (2003) Inverse Problems , vol.19
    • Strong, D.1    Chan, T.2
  • 20
    • 0011021531 scopus 로고    scopus 로고
    • A study in the BV space of a denoiting-deblurring variational problem
    • L. VESE, A study in the BV space of a denoiting-deblurring variational problem, Appl. Math. Optim., 44 (2001), pp. 131-161.
    • (2001) Appl. Math. Optim. , vol.44 , pp. 131-161
    • Vese, L.1
  • 21
    • 0026857269 scopus 로고
    • An evolution problem for plastic antiplanar shear
    • X. ZHOU, An evolution problem for plastic antiplanar shear, Appl. Math. Optim., 25 (1992), pp. 263-286.
    • (1992) Appl. Math. Optim. , vol.25 , pp. 263-286
    • Zhou, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.