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Volumn 64, Issue 2, 2004, Pages 668-687

A variational approach to nonrigid morphological image registration

Author keywords

Image processing; Image registration; Mathematical morphology; Nonlinear elasticity

Indexed keywords

BOUNDARY CONDITIONS; COMPUTERIZED TOMOGRAPHY; DEFORMATION; MATHEMATICAL MORPHOLOGY; PROBLEM SOLVING;

EID: 2542438829     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139902419528     Document Type: Article
Times cited : (135)

References (48)
  • 2
    • 84948150452 scopus 로고    scopus 로고
    • A scale-space approach to nonlocal optical flow calculations
    • Second International Conference, Scale-Space'99, Corfu, Greece, September
    • L. ALVAREZ, J. WEICKERT, AND J. SÁNCHEZ, A scale-space approach to nonlocal optical flow calculations, in Scale-Space Theories in Computer Vision. Second International Conference, Scale-Space'99, Corfu, Greece, September 1999, M. Nielsen, P. Johansen, O. F. Olsen, and J. Weickert, eds., Lecture Notes in Comput. Sci. 1682, Springer, New York, 1999, pp. 235-246.
    • (1999) Scale-Space Theories in Computer Vision
    • Alvarez, L.1    Weickert, J.2    Sánchez, J.3
  • 3
    • 84948150452 scopus 로고    scopus 로고
    • Springer, New York
    • L. ALVAREZ, J. WEICKERT, AND J. SÁNCHEZ, A scale-space approach to nonlocal optical flow calculations, in Scale-Space Theories in Computer Vision. Second International Conference, Scale-Space'99, Corfu, Greece, September 1999, M. Nielsen, P. Johansen, O. F. Olsen, and J. Weickert, eds., Lecture Notes in Comput. Sci. 1682, Springer, New York, 1999, pp. 235-246.
    • (1999) Lecture Notes in Comput. Sci. , vol.1682 , pp. 235-246
    • Nielsen, M.1    Johansen, P.2    Olsen, O.F.3    Weickert, J.4
  • 4
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • J. BALL, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Ration. Mech. Anal., 63 (1977), pp. 337-403.
    • (1977) Arch. Ration. Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.1
  • 5
    • 84971150728 scopus 로고
    • Global invertibility of Sobolev functions and the interpenetration of matter
    • J. BALL, Global invertibility of Sobolev functions and the interpenetration of matter, Proc. Roy. Soc. Edinburgh Sect. A, 88 (1981), pp. 315-328.
    • (1981) Proc. Roy. Soc. Edinburgh Sect. A , vol.88 , pp. 315-328
    • Ball, J.1
  • 6
    • 2542432962 scopus 로고    scopus 로고
    • Disocclusion by joint interpolation of vector fields and gray levels
    • C. BALLESTER, V. CASELLES, AND J. VERDERA, Disocclusion by joint interpolation of vector fields and gray levels, Multiscale Model. Simul., 2 (2003), pp. 80-123.
    • (2003) Multiscale Model. Simul. , vol.2 , pp. 80-123
    • Ballester, C.1    Caselles, V.2    Verdera, J.3
  • 9
    • 0026967479 scopus 로고
    • A survey of image registration techniques
    • L. G. BROWN, A survey of image registration techniques, ACM Comput. Surveys, 24 (1992), pp. 325-376.
    • (1992) ACM Comput. Surveys , vol.24 , pp. 325-376
    • Brown, L.G.1
  • 10
    • 34249767150 scopus 로고
    • A geometric model for active contours in image processing
    • V. CASELLES, F. CATTÉ, T. COLL, AND F. DIBOS, A geometric model for active contours in image processing, Numer. Math., 66 (1993).
    • (1993) Numer. Math. , vol.66
    • Caselles, V.1    Catté, F.2    Coll, T.3    Dibos, F.4
  • 11
    • 0033360575 scopus 로고    scopus 로고
    • Topographics maps and local contrast invariance in natural images
    • V. CASELLES, B. COLL, AND J. M. MOREL, Topographics maps and local contrast invariance in natural images, Int. J. Comput. Vision, 33 (1999), pp. 5-27.
    • (1999) Int. J. Comput. Vision , vol.33 , pp. 5-27
    • Caselles, V.1    Coll, B.2    Morel, J.M.3
  • 15
    • 0023089243 scopus 로고
    • Injectivity and self-contact in nonlinear elasticity
    • P. G. CIARLET AND J. NECAS, Injectivity and self-contact in nonlinear elasticity, Arch. Ration. Mech. Anal., 97 (1987), pp. 171-188.
    • (1987) Arch. Ration. Mech. Anal. , vol.97 , pp. 171-188
    • Ciarlet, P.G.1    Necas, J.2
  • 16
    • 2542484410 scopus 로고    scopus 로고
    • Towards fast non-rigid registration
    • Inverse Problems, Image Analysis and Medical Imaging, AMS, Providence, RI
    • U. CLARENZ, M. DROSKE, AND M. RUMPF, Towards fast non-rigid registration, in Inverse Problems, Image Analysis and Medical Imaging, AMS Special Session Interaction of Inverse Problems and Image Analysis, Vol. 313, AMS, Providence, RI, 2002, pp. 67-84.
    • (2002) AMS Special Session Interaction of Inverse Problems and Image Analysis , vol.313 , pp. 67-84
    • Clarenz, U.1    Droske, M.2    Rumpf, M.3
  • 18
    • 85067946483 scopus 로고
    • Direct methods in the calculus of variations
    • Springer, Berlin
    • B. DACOROGNA, Direct Methods in the Calculus of Variations, Appl. Math. Sci. 78, Springer, Berlin, 1989.
    • (1989) Appl. Math. Sci. , vol.78
    • Dacorogna, B.1
  • 21
    • 84937392754 scopus 로고    scopus 로고
    • An adaptive level set method for medical image segmentation
    • Proceedings of the Annual Symposium on Information Processing in Medical Imaging, R. Leahy and M. Insana, eds., Springer, New York
    • M. DROSKE, B. MEYER, M. RUMPF, AND C. SCHALLER, An adaptive level set method for medical image segmentation, in Proceedings of the Annual Symposium on Information Processing in Medical Imaging, Lecture Notes in Comput. Sci. 2082, R. Leahy and M. Insana, eds., Springer, New York, 2001, pp. 416-422
    • (2001) Lecture Notes in Comput. Sci. , vol.2082 , pp. 416-422
    • Droske, M.1    Meyer, B.2    Rumpf, M.3    Schaller, C.4
  • 22
    • 0032162543 scopus 로고    scopus 로고
    • Variational problems on flows of diffeomorphisms for image matching
    • U. DUPUIS, P. GRENANDER, AND M. I. MILLER, Variational problems on flows of diffeomorphisms for image matching, Quart. Appl. Math., 56 (1998), pp. 587-600.
    • (1998) Quart. Appl. Math. , vol.56 , pp. 587-600
    • Dupuis, U.1    Grenander, P.2    Miller, M.I.3
  • 25
    • 0032298437 scopus 로고    scopus 로고
    • Computational anatomy: An emerging discipline
    • U. GRENANDER AND M. I. MILLER, Computational anatomy: An emerging discipline, Quart. Appl. Math., 56 (1998), pp. 617-694.
    • (1998) Quart. Appl. Math. , vol.56 , pp. 617-694
    • Grenander, U.1    Miller, M.I.2
  • 27
    • 0032400284 scopus 로고    scopus 로고
    • Nonstationary iterated Tikhonov regularization
    • M. HANKE AND C. GROETSCH, Nonstationary iterated Tikhonov regularization, J. Optim. Theory Appl., 98 (1998), pp. 37-53.
    • (1998) J. Optim. Theory Appl. , vol.98 , pp. 37-53
    • Hanke, M.1    Groetsch, C.2
  • 28
    • 0009966799 scopus 로고    scopus 로고
    • A multigrid approach for minimizing a nonlinear functional for digital image matching
    • S. HENN AND K. WITSCH, A multigrid approach for minimizing a nonlinear functional for digital image matching, Computing, 64 (2000), pp. 339-348.
    • (2000) Computing , vol.64 , pp. 339-348
    • Henn, S.1    Witsch, K.2
  • 29
    • 0036341612 scopus 로고    scopus 로고
    • Iterative multigrid regularization techniques for image matching
    • S. HENN AND K. WITSCH, Iterative multigrid regularization techniques for image matching, SIAM J. Sci. Comput., 23 (2001), pp. 1077-1093.
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 1077-1093
    • Henn, S.1    Witsch, K.2
  • 31
  • 34
    • 0042860245 scopus 로고    scopus 로고
    • Fast diffusion registration
    • Inverse Problems, Image Analysis, and Medical Imaging, AMS, Providence, RI
    • B. FISCHER AND J. MODERSITZKI, Fast diffusion registration, in Inverse Problems, Image Analysis, and Medical Imaging, Contemp. Math. 313, AMS, Providence, RI, 2002, pp. 117-127.
    • (2002) Contemp. Math. , vol.313 , pp. 117-127
    • Fischer, B.1    Modersitzki, J.2
  • 37
    • 84972497511 scopus 로고
    • Quasi-convexity and lower semicontinuity of multiple integrals
    • C. MORREY, Quasi-convexity and lower semicontinuity of multiple integrals, Pacific J. Math., 2 (1952), pp. 25-53.
    • (1952) Pacific J. Math. , vol.2 , pp. 25-53
    • Morrey, C.1
  • 42
    • 0032153006 scopus 로고    scopus 로고
    • Image matching as a diffusion process: An analogy with Maxwell's demon
    • J. P. THIRION, Image matching as a diffusion process: An analogy with Maxwell's demon, Medical Imag. Anal., 2 (1998), pp. 243-260.
    • (1998) Medical Imag. Anal. , vol.2 , pp. 243-260
    • Thirion, J.P.1
  • 46
    • 0029234207 scopus 로고
    • Alignment by maximization of mutual information
    • E. Grimson, S. Shafer, A. Blake, and K. Sugihara, eds., IEEE Computer Society Press, Los Alamitos, CA
    • P. A. VIOLA AND W. M. WELLS III, Alignment by maximization of mutual information, in Proceedings of the International Conference on Computer Vision, E. Grimson, S. Shafer, A. Blake, and K. Sugihara, eds., IEEE Computer Society Press, Los Alamitos, CA, 1995, pp. 16-23.
    • (1995) Proceedings of the International Conference on Computer Vision , pp. 16-23
    • Viola, P.A.1    Wells III, W.M.2
  • 47
    • 0001711623 scopus 로고
    • Regularity properties of deformations with finite energy
    • V. ŠVERÁK, Regularity properties of deformations with finite energy, Arch. Ration. Mech. Anal., 100 (1988), pp. 105-127.
    • (1988) Arch. Ration. Mech. Anal. , vol.100 , pp. 105-127
    • Šverák, V.1
  • 48
    • 0030088712 scopus 로고    scopus 로고
    • Multi-modal volume registration by maximization of mutual information
    • W. WELLS, P. VIOLA, H. ATSUMI, S. NAKAJIMA, AND R. KIKINIS, Multi-modal volume registration by maximization of mutual information, Med. Image Anal., 1(1996), pp. 35-51.
    • (1996) Med. Image Anal. , vol.1 , pp. 35-51
    • Wells, W.1    Viola, P.2    Atsumi, H.3    Nakajima, S.4    Kikinis, R.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.