메뉴 건너뛰기




Volumn 40, Issue 3, 2011, Pages 248-258

New possibilities in image diffusion and sharpening via high-order Sobolev gradient flows

Author keywords

Gradient descent; Image diffusion; Image sharpening; Partial differential equations; Sobolev spaces

Indexed keywords

ENERGY FUNCTIONALS; EXISTENCE AND UNIQUENESS RESULTS; GAUSSIANS; GRADIENT DESCENT; HEAT EQUATION; HIGH-ORDER; IMAGE DIFFUSION; IMAGE SHARPENING; IMAGE SMOOTHING; SCALE SPACES; SHARPENING EFFECT; SOBOLEV; SOBOLEV GRADIENTS; STABILITY RESULTS;

EID: 79953205514     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-010-0250-2     Document Type: Article
Times cited : (8)

References (21)
  • 1
    • 0026883886 scopus 로고
    • Image selective smoothing and edge detection by nonlinear diffusion. II
    • 1163360 0766.65117 10.1137/0729052
    • L. Alvarez P.L. Lions J.M. Morel 1992 Image selective smoothing and edge detection by nonlinear diffusion. II SIAM J. Numer. Anal. 29 845 866 1163360 0766.65117 10.1137/0729052
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 845-866
    • Alvarez, L.1    Lions, P.L.2    Morel, J.M.3
  • 3
    • 79953196543 scopus 로고    scopus 로고
    • Image diffusion and sharpening via Sobolev gradient flows
    • 10.1137/090771260 1202.94019 10.1137/090771260
    • J. Calder A. Mansouri A. Yezzi 2010 Image diffusion and sharpening via Sobolev gradient flows SIAM J. Imaging Sci. 3 4 981 1014 10.1137/090771260 1202.94019 10.1137/090771260
    • (2010) SIAM J. Imaging Sci. , vol.3 , Issue.4 , pp. 981-1014
    • Calder, J.1    Mansouri, A.2    Yezzi, A.3
  • 4
    • 0026821645 scopus 로고
    • Image selective smoothing and edge detection by nonlinear diffusion
    • 1149092 0746.65091 10.1137/0729012
    • F. Catté P.L. Lions J.M. Morel T. Coll 1992 Image selective smoothing and edge detection by nonlinear diffusion SIAM J. Numer. Anal. 29 182 193 1149092 0746.65091 10.1137/0729012
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 182-193
    • Catté, F.1    Lions, P.L.2    Morel, J.M.3    Coll, T.4
  • 8
    • 51849090507 scopus 로고    scopus 로고
    • Image restoration and decomposition via bounded total variation and negative Hilbert-Sobolev spaces
    • 2439659 1191.68789 10.1007/s00245-008-9047-8
    • L. Lieu L. Vese 2008 Image restoration and decomposition via bounded total variation and negative Hilbert-Sobolev spaces Appl. Math. Optim. 58 167 193 2439659 1191.68789 10.1007/s00245-008-9047-8
    • (2008) Appl. Math. Optim. , vol.58 , pp. 167-193
    • Lieu, L.1    Vese, L.2
  • 9
    • 4544278119 scopus 로고    scopus 로고
    • Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
    • DOI 10.1109/TIP.2003.819229
    • M. Lysaker A. Lundervold X.C. Tai 2003 Noise removal using fourth-order partial differential equations with applications to medical magnetic resonance images in space and time IEEE Trans. Image Process. 12 1579 1590 10.1109/TIP.2003.819229 (Pubitemid 40005926)
    • (2003) IEEE Transactions on Image Processing , vol.12 , Issue.12 , pp. 1579-1589
    • Lysaker, M.1    Lundervold, A.2    Tai, X.-C.3
  • 11
    • 0025474774 scopus 로고
    • Feature-oriented image enhancement using shock filters
    • S. Osher L. Rudin 1990 Feature-oriented image enhancement using shock filters SIAM J. Numer. Anal. 27 4 919 940 10.1137/0727053 0714.65096 10.1137/0727053 (Pubitemid 20710864)
    • (1990) SIAM Journal on Numerical Analysis , vol.27 , Issue.4 , pp. 919-940
    • Osher Stanley1    Rudin Leonid, I.2
  • 13
    • 28044457668 scopus 로고    scopus 로고
    • High-order Sobolev preconditioning
    • DOI 10.1016/j.na.2005.02.072, PII S0362546X05002336
    • W.J. Richardson 2005 High-order Sobolev preconditioning Nonlinear Anal. 63 5-7 e1779 e1787 10.1016/j.na.2005.02.072 10.1016/j.na.2005.02.072 Invited Talks from the Fourth World Congress of Nonlinear Analysts (WCNA 2004) (Pubitemid 41691327)
    • (2005) Nonlinear Analysis, Theory, Methods and Applications , vol.63 , Issue.5-7
    • Richardson Jr., W.B.1
  • 14
    • 48949117329 scopus 로고    scopus 로고
    • Sobolev gradient preconditioning for image-processing PDEs
    • 1168.68596 10.1002/cnm.951
    • W.J. Richardson 2008 Sobolev gradient preconditioning for image-processing PDEs Commun. Numer. Methods Eng. 24 493 504 1168.68596 10.1002/cnm.951
    • (2008) Commun. Numer. Methods Eng. , vol.24 , pp. 493-504
    • Richardson, W.J.1
  • 15
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • 0780.49028 10.1016/0167-2789(92)90242-F
    • L. Rudin S. Osher E. Fatemi 1992 Nonlinear total variation based noise removal algorithms Physica D 60 259 268 0780.49028 10.1016/0167-2789(92)90242-F
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 21
    • 0034298888 scopus 로고    scopus 로고
    • Fourth-order partial differential equations for noise removal
    • 1807566 0962.94011 10.1109/83.869184
    • Y. You M. Kaveh 2000 Fourth-order partial differential equations for noise removal IEEE Trans. Image Process. 9 1723 1730 1807566 0962.94011 10.1109/83.869184
    • (2000) IEEE Trans. Image Process. , vol.9 , pp. 1723-1730
    • You, Y.1    Kaveh, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.