메뉴 건너뛰기




Volumn 115, Issue 12, 2011, Pages 1689-1709

A combined segmentation and registration framework with a nonlinear elasticity smoother

Author keywords

Augmented Lagrangian; Calculus of variations; Image registration; Image segmentation; Nonlinear elasticity; Ogden materials; Saint Venant Kirchhoff materials

Indexed keywords

AUGMENTED LAGRANGIANS; CALCULUS OF VARIATIONS; NONLINEAR ELASTICITY; OGDEN MATERIALS; SAINT VENANT-KIRCHHOFF MATERIALS;

EID: 80455174692     PISSN: 10773142     EISSN: 1090235X     Source Type: Journal    
DOI: 10.1016/j.cviu.2011.05.009     Document Type: Article
Times cited : (50)

References (58)
  • 1
    • 14544278898 scopus 로고    scopus 로고
    • A topology-preserving level set method for shape optimization
    • DOI 10.1016/j.jcp.2004.10.005, PII S0021999104004103
    • O. Alexandrov, and F. Santosa A topology-preserving level set method for shape optimization J. Comput. Phys. 204 1 2005 121 130 (Pubitemid 40305781)
    • (2005) Journal of Computational Physics , vol.204 , Issue.1 , pp. 121-130
    • Alexandrov, O.1    Santosa, F.2
  • 3
    • 34548832230 scopus 로고    scopus 로고
    • A fast diffeomorphic image registration algorithm
    • DOI 10.1016/j.neuroimage.2007.07.007, PII S1053811907005848
    • J. Ashburner A fast diffeomorphic image registration algorithm NeuroImage 38 1 2007 95 113 (Pubitemid 47440133)
    • (2007) NeuroImage , vol.38 , Issue.1 , pp. 95-113
    • Ashburner, J.1
  • 4
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • J.M. Ball Convexity conditions and existence theorems in nonlinear elasticity Arch. Rational Mech. Anal. 64 1977 337 403
    • (1977) Arch. Rational Mech. Anal. , vol.64 , pp. 337-403
    • Ball, J.M.1
  • 5
    • 5444276422 scopus 로고    scopus 로고
    • Computing large deformation metric mappings via geodesic flows of diffeomorphisms
    • F. Beg, M. Miller, A. Trouvé, and L. Younes Computing large deformation metric mappings via geodesic flows of diffeomorphisms IJCV 61 2 2005 139 157
    • (2005) IJCV , vol.61 , Issue.2 , pp. 139-157
    • Beg, F.1    Miller, M.2    Trouvé, A.3    Younes, L.4
  • 6
    • 0004116040 scopus 로고
    • PhD thesis, Computer and Information Science, University of Pensylvania
    • C. Broit, Optimal Registration of Deformed Images, PhD thesis, Computer and Information Science, University of Pensylvania, 1981.
    • (1981) Optimal Registration of Deformed Images
    • Broit, C.1
  • 12
    • 0000917292 scopus 로고
    • Sur les lois de comportement en elasticité non-linéaire compressible
    • P.G. Ciarlet, and G. Geymonat Sur les lois de comportement en elasticité non-linéaire compressible C.R. Acad. Sci. Paris 295 1982 423 426
    • (1982) C.R. Acad. Sci. Paris , vol.295 , pp. 423-426
    • Ciarlet, P.G.1    Geymonat, G.2
  • 15
    • 21844513710 scopus 로고
    • Existence of minimizers for non-quasiconvex integrals
    • B. Dacorogna, and P. Marcellini Existence of minimizers for non-quasiconvex integrals Arch. Rational Mech. Anal. 131 4 1995 359 399
    • (1995) Arch. Rational Mech. Anal. , vol.131 , Issue.4 , pp. 359-399
    • Dacorogna, B.1    Marcellini, P.2
  • 16
    • 2542438829 scopus 로고    scopus 로고
    • A variational approach to non-rigid morphological registration
    • M. Droske, and M. Rumpf A variational approach to non-rigid morphological registration SIAM J. Appl. Math. 64 2 2004 668 687
    • (2004) SIAM J. Appl. Math. , vol.64 , Issue.2 , pp. 668-687
    • Droske, M.1    Rumpf, M.2
  • 18
    • 60349104078 scopus 로고    scopus 로고
    • Mumford-Shah based registration: A comparison of a level set and a phase field approach
    • M. Droske, W. Ring, and M. Rumpf Mumford-Shah based registration: a comparison of a level set and a phase field approach Comput. Visual. Sci. 12 3 2009 101 114
    • (2009) Comput. Visual. Sci. , vol.12 , Issue.3 , pp. 101-114
    • Droske, M.1    Ring, W.2    Rumpf, M.3
  • 19
    • 33749609703 scopus 로고    scopus 로고
    • Atlas-based segmentation of medical images locally constrained by level sets
    • V. Duay, N. Houhou, and J.-P. Thiran Atlas-based segmentation of medical images locally constrained by level sets ICIP 2 2005
    • (2005) ICIP , vol.2
    • Duay, V.1    Houhou, N.2    Thiran, J.-P.3
  • 21
    • 0037272745 scopus 로고    scopus 로고
    • Curvature based image registration
    • B. Fischer, and J. Modersitzki Curvature based image registration JMIV 18 1 2003 81 85
    • (2003) JMIV , vol.18 , Issue.1 , pp. 81-85
    • Fischer, B.1    Modersitzki, J.2
  • 22
    • 1142288170 scopus 로고    scopus 로고
    • A unified approach to fast image registration and a new curvature based registration technique
    • B. Fischer, and J. Modersitzki A unified approach to fast image registration and a new curvature based registration technique Linear Algebra Its Appl. 380 2004 107 124
    • (2004) Linear Algebra Its Appl. , vol.380 , pp. 107-124
    • Fischer, B.1    Modersitzki, J.2
  • 24
    • 6344239178 scopus 로고    scopus 로고
    • Numerical methods for volume preserving image registration
    • E. Haber, and J. Modersitzki Numerical methods for volume preserving image registration Inverse Probl. Inst. Phys. Publ. 20 5 2004 1621 1638
    • (2004) Inverse Probl. Inst. Phys. Publ. , vol.20 , Issue.5 , pp. 1621-1638
    • Haber, E.1    Modersitzki, J.2
  • 25
    • 33750275867 scopus 로고    scopus 로고
    • Image registration with guaranteed displacement regularity
    • DOI 10.1007/s11263-006-8984-4
    • E. Haber, and J. Modersitzki Image registration with guaranteed displacement regularity Int. J. Comput. Vis. 71 3 2007 361 372 (Pubitemid 44610052)
    • (2007) International Journal of Computer Vision , vol.71 , Issue.3 , pp. 361-372
    • Haber, E.1    Modersitzki, J.2
  • 26
    • 0038719869 scopus 로고    scopus 로고
    • A topology preserving level set method for geometric deformable models
    • X. Han, C. Xu, and J.L. Prince A topology preserving level set method for geometric deformable models IEEE Trans. Pattern Anal. Mach. Intell. 25 6 2003 755 768
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell. , vol.25 , Issue.6 , pp. 755-768
    • Han, X.1    Xu, C.2    Prince, J.L.3
  • 27
    • 0014604308 scopus 로고
    • Multiplier and gradient methods
    • M.R. Hestenes Multiplier and gradient methods J. Optimiz. Theory Appl. 4 1969 303 320
    • (1969) J. Optimiz. Theory Appl. , vol.4 , pp. 303-320
    • Hestenes, M.R.1
  • 28
    • 42649118810 scopus 로고    scopus 로고
    • Self-repelling snakes for topology-preserving segmentation models
    • DOI 10.1109/TIP.2008.919951
    • C. Le Guyader, and L. Vese Self-repelling snakes for topology-preserving segmentation models IEEE Trans. Image Process. 17 5 2008 767 779 (Pubitemid 351597167)
    • (2008) IEEE Transactions on Image Processing , vol.17 , Issue.5 , pp. 767-779
    • Le Guyader, C.1    Vese, L.A.2
  • 29
    • 51249124712 scopus 로고    scopus 로고
    • A Combined Segmentation and Registration Framework with a nonlinear Elasticity Smoother
    • C. Le Guyader, L. Vese, A Combined Segmentation and Registration Framework with a nonlinear Elasticity Smoother, UCLA CAM Report 08-16, 2008.
    • (2008) UCLA CAM Report 08-16
    • Le Guyader, C.1    Vese, L.2
  • 30
    • 69049104523 scopus 로고    scopus 로고
    • A combined segmentation and registration framework with a nonlinear elasticity smoother
    • X.-C. Tai et al. (Eds.) LNCS 5567
    • C. Le Guyader, L. Vese, A combined segmentation and registration framework with a nonlinear elasticity smoother, in: X.-C. Tai et al. (Eds.), SSVM 2009, LNCS 5567, 2009, pp. 600-611.
    • (2009) SSVM 2009 , pp. 600-611
    • Le Guyader, C.1    Vese, L.2
  • 33
    • 0142167987 scopus 로고    scopus 로고
    • A New Framework of Quantifying Differences between Images by Matching Gradient Fields and Its Application to Image Blending
    • IEEE
    • W.-H. Liao, C.-L. Yu, M. Bergsneider, L. Vese, and S.-C. Huang A New Framework of Quantifying Differences Between Images by Matching Gradient Fields and Its Application to Image Blending Nuclear Science Symposium Conference Record vol. 2 2002 IEEE pp. 1092-1096
    • (2002) Nuclear Science Symposium Conference Record , vol.2 , pp. 1092-1096
    • Liao, W.-H.1    Yu, C.-L.2    Bergsneider, M.3    Vese, L.4    Huang, S.-C.5
  • 34
    • 34047172541 scopus 로고    scopus 로고
    • Simultaneous registration and parcellation of bilateral hippocampal surface pairs for local asymmetry quantification
    • N.A. Lord, J. Ho, B.C. Vemuri, and S. Eisenschenk Simultaneous registration and parcellation of bilateral hippocampal surface pairs for local asymmetry quantification IEEE Trans. Med. Imag. 26 4 2007 417 478
    • (2007) IEEE Trans. Med. Imag. , vol.26 , Issue.4 , pp. 417-478
    • Lord, N.A.1    Ho, J.2    Vemuri, B.C.3    Eisenschenk, S.4
  • 36
    • 0036403673 scopus 로고    scopus 로고
    • On the metrics and Euler-Lagrange equations of computational anatomy
    • DOI 10.1146/annurev.bioeng.4.092101.125733
    • M. Miller, A. Trouvé, and L. Younes On the metrics and Euler-Lagrange equations of computational anatomy Annu. Rev. B: Eng. 4 2002 375 405 (Pubitemid 35217426)
    • (2002) Annual Review of Biomedical Engineering , vol.4 , pp. 375-405
    • Miller, M.I.1    Trouve, A.2    Younes, L.3
  • 38
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • D. Mumford, J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, in: CPAM XLII, 1989, pp. 577-685.
    • (1989) CPAM XLII , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 39
    • 3142643840 scopus 로고
    • A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity
    • P.V. Negrón Marrero A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity Numerische Mathematik 58 1990 135 144
    • (1990) Numerische Mathematik , vol.58 , pp. 135-144
    • Negrón Marrero, P.V.1
  • 41
    • 0002380692 scopus 로고
    • A method for nonlinear constraints in minimization problems
    • R. Fletcher, Academic Press New York
    • M.J.D. Powell A method for nonlinear constraints in minimization problems R. Fletcher, Optimization 1972 Academic Press New York 283 298
    • (1972) Optimization , pp. 283-298
    • Powell, M.J.D.1
  • 42
    • 85021080195 scopus 로고
    • Mapping of hyperelastic deformable templates using the finite element method
    • R.D. Rabbitt, J.A. Weiss, G.E. Christensen, and M.I. Miller Mapping of hyperelastic deformable templates using the finite element method Proc. SPIE 2573 1995 252 265
    • (1995) Proc. SPIE , vol.2573 , pp. 252-265
    • Rabbitt, R.D.1    Weiss, J.A.2    Christensen, G.E.3    Miller, M.I.4
  • 43
    • 0012768945 scopus 로고
    • Non polyconvexity of the stored energy function of a Saint-Venant- Kirchhoff material
    • A. Raoult Non polyconvexity of the stored energy function of a Saint-Venant-Kirchhoff material Aplikace Matematiky 31 6 1986 417 419
    • (1986) Aplikace Matematiky , vol.31 , Issue.6 , pp. 417-419
    • Raoult, A.1
  • 44
    • 0015727623 scopus 로고
    • A dual approach to solving nonlinear programming problems by unconstrained optimization
    • R.T. Rockafellar A dual approach to solving nonlinear programming problems by unconstrained optimization Math. Program. 5 1973 354 373
    • (1973) Math. Program. , vol.5 , pp. 354-373
    • Rockafellar, R.T.1
  • 46
    • 33947267497 scopus 로고    scopus 로고
    • Global regularizing flows with topology preservation for active contours and polygons
    • DOI 10.1109/TIP.2007.891071
    • G. Sundaramoorthi, and A. Yezzi Global regularizing flows with topology preservation for active contours and polygons IEEE Trans. Image Process. 16 3 2007 803 812 (Pubitemid 46431975)
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.3 , pp. 803-812
    • Sundaramoorthi, G.1    Yezzi, A.2
  • 47
    • 0002242889 scopus 로고
    • On the eigenvalues of sums of Hermitian matrices
    • R.C. Thompson, and L.J. Freede On the eigenvalues of sums of Hermitian matrices Linear Algebra Appl. 4 1971 369 376
    • (1971) Linear Algebra Appl. , vol.4 , pp. 369-376
    • Thompson, R.C.1    Freede, L.J.2
  • 48
    • 69049118419 scopus 로고    scopus 로고
    • Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model
    • X.-C. Tai et al. (Eds.) LNCS 5567
    • X.-C. Tai, C. Wu, Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model, in: X.-C. Tai et al. (Eds.), SSVM 2009, LNCS 5567, 2009, pp. 502-513.
    • (2009) SSVM 2009 , pp. 502-513
    • Tai, X.-C.1    Wu, C.2
  • 49
    • 24644463321 scopus 로고    scopus 로고
    • Coupled PDE's for non-rigid registration and segmentation
    • G.B. Unal, G.G. Slabaugh, Coupled PDE's for non-rigid registration and segmentation, in: CVPR, 2004, pp. 168-175.
    • (2004) CVPR , pp. 168-175
    • Unal, G.B.1    Slabaugh, G.G.2
  • 50
    • 24644517751 scopus 로고    scopus 로고
    • Joint image registration and segmentation
    • S. Osher, N. Paragios (Eds.)
    • B. Vemuri, Y. Chen, Joint image registration and segmentation, in: S. Osher, N. Paragios (Eds.), Geometric Level Set Methods, 2003, 251-269.
    • (2003) Geometric Level Set Methods , pp. 251-269
    • Vemuri, B.1    Chen, Y.2
  • 52
    • 0037347363 scopus 로고    scopus 로고
    • Image registration via level-set motion: Applications to atlas-based segmentation
    • DOI 10.1016/S1361-8415(02)00063-4, PII S1361841502000634
    • B. Vemuri, J. Ye, Y. Chen, and C. Leonard Image registration via level-set motion: applications to atlas-based segmentation Med. Image Anal. 7 1 2003 1 20 (Pubitemid 36097745)
    • (2003) Medical Image Analysis , vol.7 , Issue.1 , pp. 1-20
    • Vemuri, B.C.1    Ye, J.2    Chen, Y.3    Leonard, C.M.4
  • 53
    • 0036891794 scopus 로고    scopus 로고
    • A multiphase level set framework for image segmentation using the Mumford and Shah model
    • DOI 10.1023/A:1020874308076
    • L. Vese, and T. Chan A multiphase level set framework for image segmentation using the Mumford and Shah Model IJCV 50 3 2002 271 293 (Pubitemid 35377416)
    • (2002) International Journal of Computer Vision , vol.50 , Issue.3 , pp. 271-293
    • Vese, L.A.1    Chan, T.F.2
  • 55
    • 20344402104 scopus 로고    scopus 로고
    • Simultaneous segmentation and registration for medical image
    • Medical Image Computing and Computer-Assisted Intervention, MICCAI 2004 - 7th International Conference, Proceedings
    • C. Xiaohua, J.M. Brady, D. Rueckert, Simultaneous segmentation and registration of medical images, in: MICCAI, 2004, pp. 663-670. (Pubitemid 40787437)
    • (2004) Lecture Notes in Computer Science , vol.3216 , Issue.PART 1 , pp. 663-670
    • Chen, X.1    Brady, M.2    Rueckert, D.3
  • 56
    • 0032028944 scopus 로고    scopus 로고
    • Snakes, shapes, and gradient vector flow
    • PII S105771499801745X
    • C. Xu, and J.L. Prince Snakes, shapes, and gradient vector flow IEEE Trans. Image Process. 7 1998 359 369 (Pubitemid 128745354)
    • (1998) IEEE Transactions on Image Processing , vol.7 , Issue.3 , pp. 359-369
    • Xu, C.1    Prince, J.L.2
  • 57
    • 34948837875 scopus 로고    scopus 로고
    • Topology preserving log-unbiased nonlinear image registration: Theory and implementation
    • I. Yanovsky, P.M. Thompson, S. Osher, A.D. Leow, Topology preserving log-unbiased nonlinear image registration: theory and implementation, in: IEEE Conference on CVPR, 2007.
    • (2007) IEEE Conference on CVPR
    • Yanovsky, I.1    Thompson, P.M.2    Osher, S.3    Leow, A.D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.