메뉴 건너뛰기




Volumn 28, Issue 1, 2007, Pages 47-66

Using the shape gradient for active contour segmentation: From the continuous to the discrete formulation

Author keywords

Active contour; Discrete formulation; Segmentation; Shape derivative; Shape optimization; Variational approach

Indexed keywords

GRADIENT METHODS; IMAGE ANALYSIS; IMAGE RECONSTRUCTION; SHAPE OPTIMIZATION; VELOCITY MEASUREMENT;

EID: 34548251935     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-007-0012-y     Document Type: Article
Times cited : (13)

References (42)
  • 1
    • 0036475447 scopus 로고    scopus 로고
    • A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking
    • Arulampalam, M.S., Maskell, S., Gordon, N., Clapp, T.: A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Trans. Signal Process. 50, 174-188 (2002)
    • (2002) IEEE Trans. Signal Process , vol.50 , pp. 174-188
    • Arulampalam, M.S.1    Maskell, S.2    Gordon, N.3    Clapp, T.4
  • 2
    • 0742311252 scopus 로고    scopus 로고
    • Image segmentation using active contours: Calculus of variations or shape gradients?
    • Aubert, G., Barlaud, M., Faugeras, O., Jehan-Besson, S.: Image segmentation using active contours: Calculus of variations or shape gradients? SIAM J. Appl. Math. 63, 2128-2154 (2003)
    • (2003) SIAM J. Appl. Math , vol.63 , pp. 2128-2154
    • Aubert, G.1    Barlaud, M.2    Faugeras, O.3    Jehan-Besson, S.4
  • 3
    • 0034258794 scopus 로고    scopus 로고
    • B-spline snakes: A flexible tool for parametric contour detection
    • Brigger, P., Hoeg, J., Unser, M.: B-spline snakes: A flexible tool for parametric contour detection. IEEE Trans. Image Process. 9, 1484-1496 (2000)
    • (2000) IEEE Trans. Image Process , vol.9 , pp. 1484-1496
    • Brigger, P.1    Hoeg, J.2    Unser, M.3
  • 6
    • 0035248865 scopus 로고    scopus 로고
    • Active contours without edges
    • Chan, T., Vese, L.: Active contours without edges. IEEE Trans. Image Process. 10, 266-277 (2001)
    • (2001) IEEE Trans. Image Process , vol.10 , pp. 266-277
    • Chan, T.1    Vese, L.2
  • 7
    • 33745904175 scopus 로고    scopus 로고
    • Designing spatially coherent minimizing flows for variational problems based on active contours
    • Charpiat, G., Keriven, R., Pons, J.-P., Faugeras, O.: Designing spatially coherent minimizing flows for variational problems based on active contours. In: International Conference on Computer Vision, vol. 2, pp. 1403-1408 (2005)
    • (2005) International Conference on Computer Vision , vol.2 , pp. 1403-1408
    • Charpiat, G.1    Keriven, R.2    Pons, J.-P.3    Faugeras, O.4
  • 8
    • 0033220860 scopus 로고    scopus 로고
    • Statistical region snakebased segmentation adapted to different physical noise models
    • Chesnaud, C., Réfrégier, P., Boulet, V.: Statistical region snakebased segmentation adapted to different physical noise models. IEEE Trans. Pattern Anal. Mach. Intell. 21, 1145-1156 (1999)
    • (1999) IEEE Trans. Pattern Anal. Mach. Intell , vol.21 , pp. 1145-1156
    • Chesnaud, C.1    Réfrégier, P.2    Boulet, V.3
  • 9
    • 84878555250 scopus 로고    scopus 로고
    • Motion competition: Variational integration of motion segmentation and shape regularization
    • DAGM-Symposium
    • Cremers, D., Schnorr, C.: Motion competition: Variational integration of motion segmentation and shape regularization. In: DAGM-Symposium, Lecture Notes in Computer Science, vol. 2449, pp. 472-480 (2002)
    • (2002) Lecture Notes in Computer Science , vol.2449 , pp. 472-480
    • Cremers, D.1    Schnorr, C.2
  • 11
    • 0035384873 scopus 로고    scopus 로고
    • Space time segmentation using level set active contours applied to myocardial gated SPECT
    • Debreuve, E., Barlaud, M., Aubert, G., Darcourt, J.: Space time segmentation using level set active contours applied to myocardial gated SPECT IEEE Trans. Med. Imaging 20, 643-659 (2001)
    • (2001) IEEE Trans. Med. Imaging , vol.20 , pp. 643-659
    • Debreuve, E.1    Barlaud, M.2    Aubert, G.3    Darcourt, J.4
  • 14
    • 0035415732 scopus 로고    scopus 로고
    • Shape and topology constraints on parametric active contours
    • Delingette, H., Montagnat, J.: Shape and topology constraints on parametric active contours. Comput. Vis. Image Underst. 83, 140-171 (2001)
    • (2001) Comput. Vis. Image Underst , vol.83 , pp. 140-171
    • Delingette, H.1    Montagnat, J.2
  • 15
    • 75349083322 scopus 로고    scopus 로고
    • Finite element methods for shape optimization and applications
    • Preprint
    • Dogan, G., Morin, P., Nochetto, R.H., Verani, M.: Finite element methods for shape optimization and applications. Preprint (2005)
    • (2005)
    • Dogan, G.1    Morin, P.2    Nochetto, R.H.3    Verani, M.4
  • 16
    • 2542426671 scopus 로고    scopus 로고
    • Combining shape prior and statistical features for active contour segmentation
    • Gastaud, M., Barlaud, M., Aubert, G.: Combining shape prior and statistical features for active contour segmentation. IEEE Trans. Circuits Syst. Video Technol. 14, 726-734 (2004)
    • (2004) IEEE Trans. Circuits Syst. Video Technol , vol.14 , pp. 726-734
    • Gastaud, M.1    Barlaud, M.2    Aubert, G.3
  • 17
    • 0030290264 scopus 로고    scopus 로고
    • Optimal snake-based segmentation of a random, luminance target on a spatially disjoint background
    • Germain, O., Réfrégier, P.: Optimal snake-based segmentation of a random, luminance target on a spatially disjoint background. Opt. Lett. 21, 1845-1847 (1996)
    • (1996) Opt. Lett , vol.21 , pp. 1845-1847
    • Germain, O.1    Réfrégier, P.2
  • 19
    • 2542438832 scopus 로고    scopus 로고
    • A second order shape optimization approach for image segmentation
    • Hintermüller, M., Ring, W.: A second order shape optimization approach for image segmentation. SIAM J. Appl. Math. 64, 442-467 (2003)
    • (2003) SIAM J. Appl. Math , vol.64 , pp. 442-467
    • Hintermüller, M.1    Ring, W.2
  • 20
    • 0032136153 scopus 로고    scopus 로고
    • CONDENSATION-Conditional density propagation for visual tracking
    • Isard, M., Blake, A.: CONDENSATION-Conditional density propagation for visual tracking. Int. J. Comput. Vis. 29, 5-28 (1998)
    • (1998) Int. J. Comput. Vis , vol.29 , pp. 5-28
    • Isard, M.1    Blake, A.2
  • 22
    • 4344607611 scopus 로고    scopus 로고
    • Efficient energies and algorithms for parametric snakes
    • Jacob, M., Blu, T., Unser, M.: Efficient energies and algorithms for parametric snakes. IEEE Trans. Image Process. 13, 1231-1244 (2004)
    • (2004) IEEE Trans. Image Process , vol.13 , pp. 1231-1244
    • Jacob, M.1    Blu, T.2    Unser, M.3
  • 23
    • 0037608775 scopus 로고    scopus 로고
    • 2S: Deformable regions driven by an Eulerian accurate minimization method for image and video segmentation
    • 2S: Deformable regions driven by an Eulerian accurate minimization method for image and video segmentation. Int. J. Comput. Vis. 53, 45-70 (2003)
    • (2003) Int. J. Comput. Vis , vol.53 , pp. 45-70
    • Jehan-Besson, S.1    Barlaud, M.2    Aubert, G.3
  • 25
    • 20344388055 scopus 로고    scopus 로고
    • Dual front evolution model and its application in medical imaging
    • Medical Image Computing and Computer-Assisted Intervention
    • Li, H., Elmoataz, A., Fadili, J., Ruan, S.: Dual front evolution model and its application in medical imaging. In: Medical Image Computing and Computer-Assisted Intervention. Lecture Notes in Computer Science, vol. 3216, pp. 103-110 (2004)
    • (2004) Lecture Notes in Computer Science , vol.3216 , pp. 103-110
    • Li, H.1    Elmoataz, A.2    Fadili, J.3    Ruan, S.4
  • 26
    • 33646676961 scopus 로고    scopus 로고
    • Local or global minima: Flexible dual front active contours
    • Computer Vision for Biomedical Image Applications
    • Li, H., Yezzi, A.: Local or global minima: flexible dual front active contours. In: Computer Vision for Biomedical Image Applications. Lecture Notes in Computer Science, vol. 3765, pp. 356-366 (2005)
    • (2005) Lecture Notes in Computer Science , vol.3765 , pp. 356-366
    • Li, H.1    Yezzi, A.2
  • 28
    • 34548249464 scopus 로고    scopus 로고
    • Private communication on shape gradient in the context of a parametric active contour 2005
    • Marmorat, J.-P.: Private communication on shape gradient in the context of a parametric active contour (2005)
    • Marmorat, J.-P.1
  • 29
    • 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, 577-685 (1989)
    • (1989) Commun. Pure Appl. Math , vol.42 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 30
    • 24644486113 scopus 로고    scopus 로고
    • An analysis of variational alignment of curves in images
    • International Conference on Scale Space and PDE methods in Computer Vision
    • Overgaard, N.C., Solem., J.E.: An analysis of variational alignment of curves in images. In: International Conference on Scale Space and PDE methods in Computer Vision. Lecture Notes in Computer Science, vol. 3459, pp. 480-491 (2005)
    • (2005) Lecture Notes in Computer Science , vol.3459 , pp. 480-491
    • Overgaard, N.C.1    Solem, J.E.2
  • 32
    • 21244462831 scopus 로고    scopus 로고
    • Robust real-time segmentation of images and videos using a smooth-spline snake-based algorithm
    • Precioso, F., Barlaud, M., Blu, T., Unser, M.: Robust real-time segmentation of images and videos using a smooth-spline snake-based algorithm. IEEE Trans. Image Process. 14, 910-924 (2005)
    • (2005) IEEE Trans. Image Process , vol.14 , pp. 910-924
    • Precioso, F.1    Barlaud, M.2    Blu, T.3    Unser, M.4
  • 33
    • 0037272333 scopus 로고    scopus 로고
    • Fast local and global projection-based methods for affine motion estimation
    • Robinson, D., Milanfar, P.: Fast local and global projection-based methods for affine motion estimation. J. Math. Imaging Vis. 18, 35-54 (2003)
    • (2003) J. Math. Imaging Vis , vol.18 , pp. 35-54
    • Robinson, D.1    Milanfar, P.2
  • 34
    • 33645213525 scopus 로고    scopus 로고
    • Segmentation of a vector field: Dominant parameter and shape optimization
    • Roy, T., Debreuve, E., Barlaud, M., Aubert, G.: Segmentation of a vector field: Dominant parameter and shape optimization. J. Math. Imaging Vis. 24, 259-276 (2006)
    • (2006) J. Math. Imaging Vis , vol.24 , pp. 259-276
    • Roy, T.1    Debreuve, E.2    Barlaud, M.3    Aubert, G.4
  • 35
    • 0026904448 scopus 로고
    • Computation of discontinuous optical flow by domain decomposition and shape optimization
    • Schnörr, C.: Computation of discontinuous optical flow by domain decomposition and shape optimization. Int. J. Comput. Vis. 8, 153-165 (1992)
    • (1992) Int. J. Comput. Vis , vol.8 , pp. 153-165
    • Schnörr, C.1
  • 37
    • 24644464347 scopus 로고    scopus 로고
    • A geometric formulation of gradient descent for variational problems with moving surfaces
    • International Conference on Scale Space and PDE methods in Computer Vision
    • Solem, J.E., Overgaard, N.C.: A geometric formulation of gradient descent for variational problems with moving surfaces. In: International Conference on Scale Space and PDE methods in Computer Vision. Lecture Notes in Computer Science, vol. 3459, pp. 419-430 (2005)
    • (2005) Lecture Notes in Computer Science , vol.3459 , pp. 419-430
    • Solem, J.E.1    Overgaard, N.C.2
  • 38
    • 17444425926 scopus 로고    scopus 로고
    • Deformable model with non-Euclidean metrics
    • European Conference on Computer Vision
    • Taton, B., Lachaud, J.-O.: Deformable model with non-Euclidean metrics. In: European Conference on Computer Vision. Lecture Notes in Computer Science, vol. 2352, pp. 438-453 (2002)
    • (2002) Lecture Notes in Computer Science , vol.2352 , pp. 438-453
    • Taton, B.1    Lachaud, J.-O.2
  • 39
    • 14844342382 scopus 로고    scopus 로고
    • Information-theoretic active polygons for unsupervised texture segmentation
    • Unal, G., Yezzi, A., Krim, H.: Information-theoretic active polygons for unsupervised texture segmentation. Int. J. Comput. Vis. 62, 199-220 (2005)
    • (2005) Int. J. Comput. Vis , vol.62 , pp. 199-220
    • Unal, G.1    Yezzi, A.2    Krim, H.3
  • 42
    • 0033875356 scopus 로고    scopus 로고
    • A new diamond search algorithm for fast block matching motion estimation
    • Zhu, S., Ma, K.-K.: A new diamond search algorithm for fast block matching motion estimation. IEEE Trans. Image Process. 9, 287-290 (2000)
    • (2000) IEEE Trans. Image Process , vol.9 , pp. 287-290
    • Zhu, S.1    Ma, K.-K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.