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Volumn 84, Issue 2, 2009, Pages 184-193

On local region models and a statistical interpretation of the piecewise smooth Mumford-Shah functional

Author keywords

Regularization; Segmentation; Statistical methods; Variational methods

Indexed keywords

ANALYTICAL EXPRESSIONS; COORDINATE DESCENT; DISTRIBUTION MODELS; EXTENDED VERSIONS; FASTER IMPLEMENTATION; GAUSSIAN CONVOLUTION; GRADIENT DESCENT; LOCAL REGION; MUMFORD-SHAH FUNCTIONAL; PIECEWISE SMOOTH; REGULARIZATION; SEGMENTATION; SMOOTH APPROXIMATION; STATISTICAL INTERPRETATION; VARIATIONAL METHODS; VARIATIONAL MODELS;

EID: 67349219183     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-008-0153-5     Document Type: Article
Times cited : (116)

References (35)
  • 1
    • 34748925841 scopus 로고
    • Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence
    • L. Ambrosio V. Tortorelli 1990 Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence Communications on Pure and Applied Mathematics XLIII 999 1036
    • (1990) Communications on Pure and Applied Mathematics , vol.43 , pp. 999-1036
    • Ambrosio, L.1    Tortorelli, V.2
  • 5
    • 67349166370 scopus 로고    scopus 로고
    • On local region models and the statistical interpretation of the piecewise smooth Mumford-Shah functional
    • Brox, T., & Cremers, D. (2007a). On local region models and the statistical interpretation of the piecewise smooth Mumford-Shah functional. Supplementary online material. Available at http://www-cvpr.iai.uni-bonn.de/pub/ pub/brox-ijcv08-sup.pdf.
    • (2007) Supplementary Online Material
    • Brox, T.1    Cremers, D.2
  • 7
    • 33748605303 scopus 로고    scopus 로고
    • A TV flow based local scale estimate and its application to texture discrimination
    • DOI 10.1016/j.jvcir.2005.06.001, PII S104732030500057X
    • T. Brox J. Weickert 2006 A TV flow based local scale estimate and its application to texture discrimination Journal of Visual Communication and Image Representation 17 5 1053 1073 (Pubitemid 44380377)
    • (2006) Journal of Visual Communication and Image Representation , vol.17 , Issue.5 , pp. 1053-1073
    • Brox, T.1    Weickert, J.2
  • 8
    • 27244438943 scopus 로고    scopus 로고
    • Three-dimensional shape knowledge for joint image segmentation and pose estimation
    • Pattern Recognition: 27th DAGM Symposium: Proceedings
    • Brox, T., Rosenhahn, B., & Weickert, J. (2005). Three-dimensional shape knowledge for joint image segmentation and pose estimation. In W. Kropatsch, R. Sablatnig, & A. Hanbury (Eds.), LNCS : Vol. 3663. Pattern recognition (pp. 109-116). Berlin: Springer. (Pubitemid 41520644)
    • (2005) Lecture Notes in Computer Science , vol.3663 , pp. 109-116
    • Brox, T.1    Rosenhahn, B.2    Weickert, J.3
  • 11
    • 33750153530 scopus 로고    scopus 로고
    • Algorithms for finding global minimizers of image segmentation and denoising models
    • DOI 10.1137/040615286
    • T. Chan S. Esedoglu M. Nikolova 2006 Algorithms for finding global minimizers of image segmentation and denoising models SIAM Journal on Applied Mathematics 66 5 1632 1648 (Pubitemid 44599935)
    • (2006) SIAM Journal on Applied Mathematics , vol.66 , Issue.5 , pp. 1632-1648
    • Chan, T.F.1    Esedoglu, S.2    Nikolova, M.3
  • 13
    • 0036892825 scopus 로고    scopus 로고
    • Diffusion snakes: Introducing statistical shape knowledge into the Mumford-Shah functional
    • DOI 10.1023/A:1020826424915
    • D. Cremers F. Tischhäuser J. Weickert C. Schnörr 2002 Diffusion snakes: introducing statistical shape knowledge into the Mumford-Shah functional International Journal of Computer Vision 50 3 295 313 (Pubitemid 35377417)
    • (2002) International Journal of Computer Vision , vol.50 , Issue.3 , pp. 295-313
    • Cremers, D.1    Tischhauser, F.2    Weickert, J.3    Schnorr, C.4
  • 14
    • 33846221503 scopus 로고    scopus 로고
    • A review of statistical approaches to level set segmentation: Integrating color, texture, motion and shape
    • DOI 10.1007/s11263-006-8711-1
    • D. Cremers M. Rousson R. Deriche 2007 A review of statistical approaches to level set segmentation: integrating color, texture, motion and shape International Journal of Computer Vision 72 2 195 215 (Pubitemid 46094760)
    • (2007) International Journal of Computer Vision , vol.72 , Issue.2 , pp. 195-215
    • Cremers, D.1    Rousson, M.2    Deriche, R.3
  • 18
    • 14844354353 scopus 로고    scopus 로고
    • Natural image statistics for natural image segmentation
    • DOI 10.1007/s11263-005-4944-7
    • M. Heiler C. Schnörr 2005 Natural image statistics for natural image segmentation International Journal of Computer Vision 63 1 5 19 (Pubitemid 40356828)
    • (2005) International Journal of Computer Vision , vol.63 , Issue.1 , pp. 5-19
    • Heiler, M.1    Schnorr, C.2
  • 19
    • 33947716431 scopus 로고
    • Beitrag zur Theorie des Ferromagnetismus
    • E. Ising 1925 Beitrag zur Theorie des Ferromagnetismus Zeitschrift für Physik 31 253 258
    • (1925) Zeitschrift für Physik , vol.31 , pp. 253-258
    • Ising, E.1
  • 21
    • 27744599498 scopus 로고    scopus 로고
    • A nonparametric statistical method for image segmentation using information theory and curve evolution
    • J. Kim J. Fisher A. Yezzi M. Cetin A. Willsky 2005 A nonparametric statistical method for image segmentation using information theory and curve evolution IEEE Transactions on Image Processing 14 10 1486 1502
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.10 , pp. 1486-1502
    • Kim, J.1    Fisher, J.2    Yezzi, A.3    Cetin, M.4    Willsky, A.5
  • 22
    • 0000073824 scopus 로고
    • Beitrag zum Verständnis der magnetischen Erscheinungen in festen Körpern
    • W. Lenz 1920 Beitrag zum Verständnis der magnetischen Erscheinungen in festen Körpern Physikalische Zeitschrift 21 613 615
    • (1920) Physikalische Zeitschrift , vol.21 , pp. 613-615
    • Lenz, W.1
  • 24
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • D. Mumford J. Shah 1989 Optimal approximations by piecewise smooth functions and associated variational problems Communications on Pure and Applied Mathematics 42 577 685
    • (1989) Communications on Pure and Applied Mathematics , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 27
    • 0036501664 scopus 로고    scopus 로고
    • Geodesic active regions: A new framework to deal with frame partition problems in computer vision
    • DOI 10.1006/jvci.2001.0475
    • N. Paragios R. Deriche 2002 Geodesic active regions: a new paradigm to deal with frame partition problems in computer vision Journal of Visual Communication and Image Representation 13 1/2 249 268 (Pubitemid 34278494)
    • (2002) Journal of Visual Communication and Image Representation , vol.13 , Issue.1-2 , pp. 249-268
    • Paragios, N.1    Deriche, R.2
  • 28
    • 0001473437 scopus 로고
    • On the estimation of a probability density function and the mode
    • E. Parzen 1962 On the estimation of a probability density function and the mode Annals of Mathematical Statistics 33 1065 1076
    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 1065-1076
    • Parzen, E.1
  • 31
    • 84964354359 scopus 로고    scopus 로고
    • A variational framework for active and adaptive segmentation of vector-valued images
    • Orlando, Florida
    • Rousson, M., & Deriche, R. (2002). A variational framework for active and adaptive segmentation of vector-valued images. In Proc. IEEE workshop on motion and video computing (pp. 56-62), Orlando, Florida.
    • (2002) Proc. IEEE Workshop on Motion and Video Computing , pp. 56-62
    • Rousson, M.1    Deriche, R.2
  • 32
    • 20344365311 scopus 로고    scopus 로고
    • Border detection on short axis echocardiographic views using a region based ellipse-driven framework
    • Medical Image Computing and Computer-Assisted Intervention, MICCAI 2004 - 7th International Conference, Proceedings
    • Taron, M., Paragios, N., & Jolly, M.-P. (2004). Border detection on short axis echocardiographic views using an ellipse driven region-based framework. In LNCS : Vol. 3216. Medical image computing and computer assisted interventions (pp. 443-450). Berlin: Springer. (Pubitemid 40787411)
    • (2004) Lecture Notes in Computer Science , vol.3216 , Issue.PART 1 , pp. 443-450
    • Taron, M.1    Paragios, N.2    Jolly, M.-P.3
  • 33
    • 0035425439 scopus 로고    scopus 로고
    • Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification
    • A. Tsai A. Yezzi A. Willsky 2001 Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification IEEE Transactions on Image Processing 10 8 1169 1186
    • (2001) IEEE Transactions on Image Processing , vol.10 , Issue.8 , pp. 1169-1186
    • Tsai, A.1    Yezzi, A.2    Willsky, A.3
  • 34
    • 0024278516 scopus 로고
    • A computational theory for the perception of coherent visual motion
    • A. Yuille N. M. Grzywacz 1988 A computational theory for the perception of coherent visual motion Nature 333 71 74
    • (1988) Nature , vol.333 , pp. 71-74
    • Yuille, A.1    Grzywacz, N.M.2
  • 35
    • 0030247213 scopus 로고    scopus 로고
    • Region competition: Unifying snakes, region growing, and Bayes/MDL for multiband image segmentation
    • S.-C. Zhu A. Yuille 1996 Region competition: unifying snakes, region growing, and Bayes/MDL for multiband image segmentation IEEE Transactions on Pattern Analysis and Machine Intelligence 18 9 884 900
    • (1996) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.18 , Issue.9 , pp. 884-900
    • Zhu, S.-C.1    Yuille, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.