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Volumn 54, Issue 2-3, 2013, Pages 513-530

Statistical density estimation using threshold dynamics for geometric motion

Author keywords

Ginzburg Landau functional; Image segmentation; Statistical density estimation; Thresholding

Indexed keywords

BINARY SEGMENTATION; GINZBURG-LANDAU FUNCTIONAL; MAXIMUM PENALIZED LIKELIHOOD; MINIMIZATION ALGORITHMS; PROBABILITY DENSITIES; SEGMENTATION TECHNIQUES; STATISTICAL DENSITY; THRESHOLDING;

EID: 84893654829     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-012-9615-6     Document Type: Article
Times cited : (4)

References (30)
  • 2
    • 79952185811 scopus 로고    scopus 로고
    • A convex relaxation method for a class of vector-valued minimization problems with applications to Mumford-Shah segmentation
    • Brown, E. S., Chan, T. F., Bresson, X.: A convex relaxation method for a class of vector-valued minimization problems with applications to Mumford-Shah segmentation. Ucla cam report 10-43 (2010)
    • (2010) Ucla Cam Report 10-43
    • Brown, E.S.1    Chan, T.F.2    Bresson, X.3
  • 3
    • 33847721052 scopus 로고    scopus 로고
    • Inpainting of binary images using the Cahn-Hilliard equation
    • Bertozzi, A. L., Esedoglu, S., Gillette, A.: Inpainting of binary images using the Cahn-Hilliard equation. IEEE Trans. Image Process. 16(1), 285-291 (2007)
    • (2007) IEEE Trans. Image Process. , vol.16 , Issue.1 , pp. 285-291
    • Bertozzi, A.L.1    Esedoglu, S.2    Gillette, A.3
  • 4
    • 33750153530 scopus 로고    scopus 로고
    • Algorithms for finding global minimizers of image segmentation and denoising models
    • Chan, T. F., Nikolova, M., Esedoglu, S.: Algorithms for finding global minimizers of image segmentation and denoising models. SIAM J. Appl. Math. 66, 16-32 (2006)
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 16-32
    • Chan, T.F.1    Nikolova, M.2    Esedoglu, S.3
  • 6
    • 65649095437 scopus 로고    scopus 로고
    • Image segmentation using a multilayer level-set approach
    • Chung, G., Vese, L. A.: Image segmentation using a multilayer level-set approach. Comput. Vis. Sci. 12(6), 267-285 (2009)
    • (2009) Comput. Vis. Sci. , vol.12 , Issue.6 , pp. 267-285
    • Chung, G.1    Vese, L.A.2
  • 7
    • 42649129042 scopus 로고    scopus 로고
    • A wavelet-Laplace variational technique for image deconvolution and inpainting
    • Dobrosotskaya, J. A., Bertozzi, A. L.: A wavelet-Laplace variational technique for image deconvolution and inpainting. IEEE Trans. Image Process. 17(5), 657-663 (2008)
    • (2008) IEEE Trans. Image Process. , vol.17 , Issue.5 , pp. 657-663
    • Dobrosotskaya, J.A.1    Bertozzi, A.L.2
  • 9
    • 25444506204 scopus 로고    scopus 로고
    • Threshold dynamics for the piecewise constant Mumford-Shah functional
    • Esedoglu, S., Tsai, Y. R.: Threshold dynamics for the piecewise constant Mumford-Shah functional. J. Comput. Phys. 211(1), 367-384 (2006)
    • (2006) J. Comput. Phys. , vol.211 , Issue.1 , pp. 367-384
    • Esedoglu, S.1    Tsai, Y.R.2
  • 10
    • 0037275191 scopus 로고    scopus 로고
    • Segmentation with depth but without detecting junctions
    • Special issue on imaging science, 2002
    • Esedoglu, S., March, R.: Segmentation with depth but without detecting junctions. J. Math. Imaging Vis. 18(1), 7-15 (2003). Special issue on imaging science, 2002
    • (2003) J. Math. Imaging Vis. , vol.18 , Issue.1 , pp. 7-15
    • Esedoglu, S.1    March, R.2
  • 11
    • 72049096371 scopus 로고    scopus 로고
    • Diffusion generated motion using signed distance functions
    • Esedoglu, S., Ruuth, S. J., Tsai, R.: Diffusion generated motion using signed distance functions. J. Comput. Phys. 229(4), 1017-1042 (2010)
    • (2010) J. Comput. Phys. , vol.229 , Issue.4 , pp. 1017-1042
    • Esedoglu, S.1    Ruuth, S.J.2    Tsai, R.3
  • 12
    • 72049109265 scopus 로고    scopus 로고
    • Threshold dynamics for high order geometric motions
    • Esedoglu, S., Ruuth, S. J., Tsai, R.: Threshold dynamics for high order geometric motions. Interfaces Free Bound. 10(3), 263-282 (2008)
    • (2008) Interfaces Free Bound. , vol.10 , Issue.3 , pp. 263-282
    • Esedoglu, S.1    Ruuth, S.J.2    Tsai, R.3
  • 13
    • 0001735517 scopus 로고
    • On the mathematical foundations of theoretical statistics
    • Fisher, R. A.: On the mathematical foundations of theoretical statistics. Philos. Trans. R. Soc. Lond. A 222, 309-360 (1922)
    • (1922) Philos. Trans. R. Soc. Lond. A , vol.222 , pp. 309-360
    • Fisher, R.A.1
  • 14
    • 27744506546 scopus 로고    scopus 로고
    • Image segmentation and selective smoothing by using Mumford-Shah model
    • Gao, S., Bui, T. D.: Image segmentation and selective smoothing by using Mumford-Shah model. IEEE Trans. Image Process. 14(10), 1537-1549 (2005)
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.10 , pp. 1537-1549
    • Gao, S.1    Bui, T.D.2
  • 15
    • 84969334819 scopus 로고    scopus 로고
    • The split Bregman method for L1-regularized problems
    • Goldstein, T., Osher, S.: The split Bregman method for L1-regularized problems. SIAM J. Imaging Sci. 2(2), 323-343 (2009)
    • (2009) SIAM J. Imaging Sci. , vol.2 , Issue.2 , pp. 323-343
    • Goldstein, T.1    Osher, S.2
  • 17
    • 65649095437 scopus 로고    scopus 로고
    • Image segmentation using a multilayer level-set approach
    • Chung, G., Vese, L. A.: Image segmentation using a multilayer level-set approach. Comput. Vis. Sci. 12(6), 267-285 (2009)
    • (2009) Comput. Vis. Sci. , vol.12 , Issue.6 , pp. 267-285
    • Chung, G.1    Vese, L.A.2
  • 19
    • 84975988204 scopus 로고
    • Local minimisers and singular perturbations
    • Kohn, R. V., Sternberg, P.: Local minimisers and singular perturbations. Proc. R. Soc. Edinb. A 111(1-2), 69-84 (1989)
    • (1989) Proc. R. Soc. Edinb. A , vol.111 , Issue.1-2 , pp. 69-84
    • Kohn, R.V.1    Sternberg, P.2
  • 21
    • 34547538331 scopus 로고    scopus 로고
    • Diffusion generated motion of curves on surfaces
    • Merriman, B., Ruuth, S. J.: Diffusion generated motion of curves on surfaces. J. Comput. Phys. 225(2), 2267-2282 (2007)
    • (2007) J. Comput. Phys. , vol.225 , Issue.2 , pp. 2267-2282
    • Merriman, B.1    Ruuth, S.J.2
  • 22
    • 80051610606 scopus 로고    scopus 로고
    • Fast TV regularization for 2D maximum penalized likelihood estimation
    • Mohler, G., Bertozzi, A., Goldstein, T., Osher, S.: Fast TV regularization for 2D maximum penalized likelihood estimation. J. Comput. Graph. Stat. 20(2), 479 (2011)
    • (2011) J. Comput. Graph. Stat. , vol.20 , Issue.2 , pp. 479
    • Mohler, G.1    Bertozzi, A.2    Goldstein, T.3    Osher, S.4
  • 23
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • Mumford, D., Shah, J.: Optimal approximations by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 42, 577-658 (1989)
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 577-658
    • Mumford, D.1    Shah, J.2
  • 24
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher, S., Sethian, J. A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12-49 (1988)
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 25
    • 0000334408 scopus 로고
    • Fast reaction, slow diffusion, and curve shortening
    • Rubinstein, J., Sternberg, P., Keller, J. B.: Fast reaction, slow diffusion, and curve shortening. SIAM J. Appl. Math. 49(1), 116-133 (1989)
    • (1989) SIAM J. Appl. Math. , vol.49 , Issue.1 , pp. 116-133
    • Rubinstein, J.1    Sternberg, P.2    Keller, J.B.3
  • 26
    • 0038906090 scopus 로고    scopus 로고
    • Efficient algorithms for diffusion-generated motion by mean curvature
    • Ruuth, S. J.: Efficient algorithms for diffusion-generated motion by mean curvature. J. Comput. Phys. 144, 603-625 (1998)
    • (1998) J. Comput. Phys. , vol.144 , pp. 603-625
    • Ruuth, S.J.1
  • 27
    • 77953963579 scopus 로고    scopus 로고
    • Density estimation by total variation penalized likelihood driven by the sparsity l1 information criterion
    • Sardy, S., Tseng, P.: Density estimation by total variation penalized likelihood driven by the sparsity l1 information criterion. Scand. J. Stat. 37(2), 321-337 (2010)
    • (2010) Scand. J. Stat. , vol.37 , Issue.2 , pp. 321-337
    • Sardy, S.1    Tseng, P.2
  • 29
    • 0036891794 scopus 로고    scopus 로고
    • A multiphase level set framework for image segmentation using the mumford and shah model
    • Vese, L. A., Chan, T. F.: A multiphase level set framework for image segmentation using the mumford and shah model. Int. J. Comput. Vis. 50(3), 271-293 (2002)
    • (2002) Int. J. Comput. Vis. , vol.50 , Issue.3 , pp. 271-293
    • Vese, L.A.1    Chan, T.F.2
  • 30
    • 24644510855 scopus 로고    scopus 로고
    • A fast algorithm for level set based optimization
    • Song, B., Chan, T.: A fast algorithm for level set based optimization. UCLA
    • UCLA
    • Song, B.1    Chan, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.