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Volumn 17, Issue 12, 2008, Pages 2289-2300

A multiresolution stochastic level set method for Mumford-Shah image segmentation

Author keywords

Basin hopping; Global optimization; Image segmentation; Mumford Shah model; Region splitting and merging; Stochastic level set method

Indexed keywords

DIGITAL IMAGE STORAGE; DROP BREAKUP; IMAGE PROCESSING; IMAGE SEGMENTATION; LEVEL MEASUREMENT; MULTIRESOLUTION ANALYSIS; OPTIMIZATION; SIMULATED ANNEALING; STOCHASTIC MODELS;

EID: 57049189180     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2008.2005823     Document Type: Article
Times cited : (52)

References (33)
  • 2
    • 84949938398 scopus 로고    scopus 로고
    • Yet another survey on image segmentation: Region and boundary informationintegration
    • Proc. ECCV, Sci
    • J. Freixenet, X. n. Muñoz, D. Raba, J. Martí, and X. Cufí, "Yet another survey on image segmentation: Region and boundary informationintegration," in Proc. ECCV, 2002, vol. 2352, pp. 408-422, Lecture Notes Comput. Sci.
    • (2002) Lecture Notes Comput , vol.2352 , pp. 408-422
    • Freixenet, J.1    Muñoz, X.N.2    Raba, D.3    Martí, J.4    Cufí, X.5
  • 3
    • 84990602490 scopus 로고
    • Optimal approximation by piecewise smooth functions and associated variational problems
    • D. Mumford and J. Shah, "Optimal approximation by piecewise smooth functions and associated variational problems," Commun. Pure Appl. Math., vol. 42, pp. 577-685, 1989.
    • (1989) Commun. Pure Appl. Math , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 4
    • 34748925841 scopus 로고
    • Approximation of functionals depending on jumps by elliptic functions via γ-convergence
    • L. Ambrosio and V. M. Tortorelli, "Approximation of functionals depending on jumps by elliptic functions via γ-convergence," Commun. Pure Appl. Math., vol. 43, pp. 999-1036, 1990.
    • (1990) Commun. Pure Appl. Math , vol.43 , pp. 999-1036
    • Ambrosio, L.1    Tortorelli, V.M.2
  • 5
    • 0035248865 scopus 로고    scopus 로고
    • Active contours without edges
    • Feb
    • T. F. Chan and L. A. Vese, "Active contours without edges," IEEE Tran. Image Process., vol. 10, no. 2, pp. 266-277, Feb. 2001.
    • (2001) IEEE Tran. Image Process , vol.10 , Issue.2 , pp. 266-277
    • Chan, T.F.1    Vese, L.A.2
  • 6
    • 0036891794 scopus 로고    scopus 로고
    • A multiphase level set framework for image segmentation using the Mumford and Shah model
    • L. A. Vese and T. F. Chan, "A multiphase level set framework for image segmentation using the Mumford and Shah model," Int. J. Comput. Vis. vol. 50, no. 3, pp. 271-293, 2002.
    • (2002) Int. J. Comput. Vis , vol.50 , Issue.3 , pp. 271-293
    • Vese, L.A.1    Chan, T.F.2
  • 7
    • 44749084234 scopus 로고
    • Fronts propogating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulation
    • S. Osher and J. A. Sethian, "Fronts propogating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulation," J. Comput. Phys., vol. 79, pp. 12-49, 1988.
    • (1988) J. Comput. Phys , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 11
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by simulated annealing," Science, vol. 220, no. 4598, pp. 671-680, 1983.
    • (1983) Science , vol.220 , Issue.4598 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 12
    • 6644221271 scopus 로고    scopus 로고
    • Efficient, multiple-range random walk algorithm to calculate the density of states
    • F. Wang and D. P. Landau, "Efficient, multiple-range random walk algorithm to calculate the density of states," Phys. Rev. Lett., vol. 81, pp. 2050-2053, 2001.
    • (2001) Phys. Rev. Lett , vol.81 , pp. 2050-2053
    • Wang, F.1    Landau, D.P.2
  • 13
    • 33744531402 scopus 로고    scopus 로고
    • Convergence and refinement of the Wang-Landau algorithm
    • H. K. Lee, Y. Okabe, and D. P. Landau, "Convergence and refinement of the Wang-Landau algorithm," Comput. Phys. Commun., vol. 175, pp. 36-40, 2006.
    • (2006) Comput. Phys. Commun , vol.175 , pp. 36-40
    • Lee, H.K.1    Okabe, Y.2    Landau, D.P.3
  • 15
    • 37649026590 scopus 로고    scopus 로고
    • Reweighting for nonequilibrium Markov processes using sequential importance sampling methods
    • H. K. Lee and Y. Okabe, "Reweighting for nonequilibrium Markov processes using sequential importance sampling methods," Phys. Rev. E, vol. 71, p. 015102(R), 2005.
    • (2005) Phys. Rev. E , vol.71
    • Lee, H.K.1    Okabe, Y.2
  • 16
    • 5544284492 scopus 로고
    • Cluster Monte Carlo algorithms
    • J.-S. Wang and R. H. Swendsen, "Cluster Monte Carlo algorithms," Phys. A, vol. 167, pp. 565-579, 1990.
    • (1990) Phys. A , vol.167 , pp. 565-579
    • Wang, J.-S.1    Swendsen, R.H.2
  • 17
    • 0000560869 scopus 로고    scopus 로고
    • Global optimization by basin-hopping and the lowest energy structure of Lennard-Jones clusters containing up to 110 atoms
    • D. J. Wales and J. P. K. Doye, "Global optimization by basin-hopping and the lowest energy structure of Lennard-Jones clusters containing up to 110 atoms," J. Phys. Chem. A, vol. 101, pp. 5111-5116, 1997.
    • (1997) J. Phys. Chem. A , vol.101 , pp. 5111-5116
    • Wales, D.J.1    Doye, J.P.K.2
  • 18
    • 0442312144 scopus 로고    scopus 로고
    • A multiresolution approach for shape from shading coupling deterministic and stochastic optimization
    • Nov
    • A. Crouzil, X. Descombes, and J.-D. Durou, "A multiresolution approach for shape from shading coupling deterministic and stochastic optimization," IEEE Tran. Pattern Anal. Mach. Intell., vol. 25, no. 11, pp. 1416-1421, Nov. 2003.
    • (2003) IEEE Tran. Pattern Anal. Mach. Intell , vol.25 , Issue.11 , pp. 1416-1421
    • Crouzil, A.1    Descombes, X.2    Durou, J.-D.3
  • 19
    • 0028378831 scopus 로고
    • A multiscale algorithm for image segmentation by variational methods
    • G. Koepfler, C. Lopez, and J. M. Morel, "A multiscale algorithm for image segmentation by variational methods," SIAM J. Numer. Anal., vol. 31, no. 1, pp. 282-299, 1994.
    • (1994) SIAM J. Numer. Anal , vol.31 , Issue.1 , pp. 282-299
    • Koepfler, G.1    Lopez, C.2    Morel, J.M.3
  • 20
    • 57049141104 scopus 로고    scopus 로고
    • B. Song and T. F. Chan, A fast algorithm for level set based optimization, CAM Rep. 02-68, Univ. California, Los Angeles, 2002.
    • B. Song and T. F. Chan, "A fast algorithm for level set based optimization," CAM Rep. 02-68, Univ. California, Los Angeles, 2002.
  • 21
    • 57049177956 scopus 로고    scopus 로고
    • T. F. Chan and S. Esedoglu, A multiscale algorithm for Mumford-Shah image segmentation, CAM Rep. 03-57, Univ. California, Los Angeles, 2003.
    • T. F. Chan and S. Esedoglu, "A multiscale algorithm for Mumford-Shah image segmentation," CAM Rep. 03-57, Univ. California, Los Angeles, 2003.
  • 22
    • 37249065817 scopus 로고    scopus 로고
    • L. He and S. Osher, Solving the Chan-Vese model by a multiphase level set algorithm based on the topological derivative, in Proc. Scale Space and Variational Methods in Computer Vision, 2007, 4485, pp. 777-788, Lecture Notes Comput. Sci.
    • L. He and S. Osher, "Solving the Chan-Vese model by a multiphase level set algorithm based on the topological derivative," in Proc. Scale Space and Variational Methods in Computer Vision, 2007, vol. 4485, pp. 777-788, Lecture Notes Comput. Sci.
  • 23
    • 25444506204 scopus 로고    scopus 로고
    • Threshold dynamics for the piecewise constant Mumford-Shah functional
    • S. Esedoglu and Y. H. Tsai, "Threshold dynamics for the piecewise constant Mumford-Shah functional," J. Comput. Phys., vol. 211, no. 1, pp. 367-384, 2006.
    • (2006) J. Comput. Phys , vol.211 , Issue.1 , pp. 367-384
    • Esedoglu, S.1    Tsai, Y.H.2
  • 24
    • 33750153530 scopus 로고    scopus 로고
    • Algorithms for finding global minimizers of denoising and segmentation models
    • T. F. Chan, S. Esedoglu, and M. Nikolova, "Algorithms for finding global minimizers of denoising and segmentation models," SIAM J. Appl. Math., vol. 66, pp. 1632-1648, 2006.
    • (2006) SIAM J. Appl. Math , vol.66 , pp. 1632-1648
    • Chan, T.F.1    Esedoglu, S.2    Nikolova, M.3
  • 25
    • 33846221503 scopus 로고    scopus 로고
    • A review of statistical approaches to level set segmentation: Integrating color, texture, motion and shape
    • D. Cremers, M. Rousson, and R. Deriche, "A review of statistical approaches to level set segmentation: Integrating color, texture, motion and shape," Int. J. Comput. Vis., vol. 72, no. 2, pp. 195-215, 2007.
    • (2007) Int. J. Comput. Vis , vol.72 , Issue.2 , pp. 195-215
    • Cremers, D.1    Rousson, M.2    Deriche, R.3
  • 26
    • 33646424100 scopus 로고    scopus 로고
    • A stochastic-variational model for soft Mumford-Shah segmentation
    • Article ID 92329
    • J. Shen, "A stochastic-variational model for soft Mumford-Shah segmentation," Int. J. Biomedical Imaging, 2006, Article ID 92329.
    • (2006) Int. J. Biomedical Imaging
    • Shen, J.1
  • 27
    • 33646879813 scopus 로고    scopus 로고
    • Stochastic motion and the level set method in computer vision: Stochastic active contours
    • O. Juan, R. Keriven, and G. Postelnicu, "Stochastic motion and the level set method in computer vision: Stochastic active contours," Int. J. Comput. Vis., vol. 69, no. 1, pp. 7-25, 2006.
    • (2006) Int. J. Comput. Vis , vol.69 , Issue.1 , pp. 7-25
    • Juan, O.1    Keriven, R.2    Postelnicu, G.3
  • 28
    • 0018004847 scopus 로고
    • Picture thresholding using an iterative selection method
    • Aug
    • T. W. Ridler and E. S. Calvard, "Picture thresholding using an iterative selection method," IEEE Tran. Syst. Man Cybern., vol. SMC-8, no. 8, pp. 630-632, Aug. 1978.
    • (1978) IEEE Tran. Syst. Man Cybern , vol.SMC-8 , Issue.8 , pp. 630-632
    • Ridler, T.W.1    Calvard, E.S.2
  • 29
    • 14944383149 scopus 로고    scopus 로고
    • A fast sweeping method for Eikonal equation
    • H. Zhao, "A fast sweeping method for Eikonal equation," Math. Comput., vol. 74, pp. 603-627, 2005.
    • (2005) Math. Comput , vol.74 , pp. 603-627
    • Zhao, H.1
  • 30
    • 0029966538 scopus 로고    scopus 로고
    • A fast marching level set method for monotonically advancing fronts
    • J. A. Sethian, "A fast marching level set method for monotonically advancing fronts," Proc. Nat. Acad. Sci., vol. 93, no. 4, pp. 1591-1595, 1996.
    • (1996) Proc. Nat. Acad. Sci , vol.93 , Issue.4 , pp. 1591-1595
    • Sethian, J.A.1
  • 31
    • 57049112799 scopus 로고    scopus 로고
    • Available
    • [Online]. Available: http://www.umassmed.edu/bmp/faculty/ross.cfm.
  • 33
    • 84950632109 scopus 로고
    • Objective criteria for the evaluation of clustering methods
    • W. M. Rand, "Objective criteria for the evaluation of clustering methods," J. Amer. Statist. Assoc., vol. 66, pp. 846-850, 1971.
    • (1971) J. Amer. Statist. Assoc , vol.66 , pp. 846-850
    • Rand, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.