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Volumn 60, Issue 3, 2004, Pages 225-240

Optimal mass transport for registration and warping

Author keywords

Elastic registration; Gradient flows; Image warping; Mass preservation; Optimal transport

Indexed keywords

ALGORITHMS; COMPUTER SCIENCE; CONFORMAL MAPPING; ELECTRICAL ENGINEERING; IMAGE PROCESSING; INTEGRAL EQUATIONS; INTERPOLATION; MATHEMATICAL TRANSFORMATIONS; MEDICAL IMAGING; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 4043173501     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:VISI.0000036836.66311.97     Document Type: Article
Times cited : (386)

References (36)
  • 6
    • 0034407460 scopus 로고    scopus 로고
    • A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
    • Benamou, J.-D. and Brenier, Y. 2000. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numerische Mathematik, 84:375-393.
    • (2000) Numerische Mathematik , vol.84 , pp. 375-393
    • Benamou, J.-D.1    Brenier, Y.2
  • 7
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Brenier, Y. 1991. Polar factorization and monotone rearrangement of vector-valued functions. Com. Pure Appl. Math., 64:375-417.
    • (1991) Com. Pure Appl. Math. , vol.64 , pp. 375-417
    • Brenier, Y.1
  • 8
    • 84947787499 scopus 로고    scopus 로고
    • Fast fluid registration of medical images
    • K. Höhne and R. Kikinis (Eds.), Lecture Notes in Computer Science, Springer-Verlag: New York
    • Bro-Nielsen, M. and Gramkow, C. 1996. Fast fluid registration of medical images. In Visualization in Biomedical Imaging, K. Höhne and R. Kikinis (Eds.), Lecture Notes in Computer Science, vol. 1131, Springer-Verlag: New York, pp. 267-276.
    • (1996) Visualization in Biomedical Imaging , vol.1131 , pp. 267-276
    • Bro-Nielsen, M.1    Gramkow, C.2
  • 12
    • 0021641025 scopus 로고
    • An extended Lagrangian theory of semigeostrophic frontogenesis
    • Cullen, M. and Purser, R. 1984. An extended Lagrangian theory of semigeostrophic frontogenesis. J. Atmos. Sci., 41:1477-1497.
    • (1984) J. Atmos. Sci. , vol.41 , pp. 1477-1497
    • Cullen, M.1    Purser, R.2
  • 13
    • 84902738914 scopus 로고
    • On a partial differential equation involving the Jacobian determinant
    • Dacorogna, B. and Moser, J. 1990. On a partial differential equation involving the Jacobian determinant. Ann. Inst. H. Poincaré Anal. Non Linéaire, 7:1-26.
    • (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.7 , pp. 1-26
    • Dacorogna, B.1    Moser, J.2
  • 15
    • 21844484336 scopus 로고
    • An elementary proof of the polar factorization of vector-valued functions
    • Gangbo, W. 1994. An elementary proof of the polar factorization of vector-valued functions. Arch. Rational Mechanics Anal., 128:381-399.
    • (1994) Arch. Rational Mechanics Anal. , vol.128 , pp. 381-399
    • Gangbo, W.1
  • 16
    • 0001103156 scopus 로고    scopus 로고
    • The geometry of optimal transportation
    • Gangbo, W. and McCann, R. 1996. The geometry of optimal transportation. Acta Math., 177:113-161.
    • (1996) Acta Math. , vol.177 , pp. 113-161
    • Gangbo, W.1    McCann, R.2
  • 17
    • 0008234981 scopus 로고    scopus 로고
    • Shape recognition via Wasser-stein distance
    • School of Mathematics, Georgia Institute of Technology
    • Gangbo, W. and McCann, R. 1999. Shape recognition via Wasser-stein distance. Technical Report, School of Mathematics, Georgia Institute of Technology.
    • (1999) Technical Report
    • Gangbo, W.1    McCann, R.2
  • 20
    • 0034958393 scopus 로고    scopus 로고
    • Models for image interpolation based on the optical flow
    • Hinterberger, W. and Scherzer, O. 2001. Models for image interpolation based on the optical flow. Computing, 66:231-247.
    • (2001) Computing , vol.66 , pp. 231-247
    • Hinterberger, W.1    Scherzer, O.2
  • 23
    • 0021421774 scopus 로고
    • On the optimal mapping of distributions
    • Knott, M. and Smith, C. 1984. On the optimal mapping of distributions. J. Optim. Theory, 43:39-49.
    • (1984) J. Optim. Theory , vol.43 , pp. 39-49
    • Knott, M.1    Smith, C.2
  • 24
    • 0034843832 scopus 로고    scopus 로고
    • The earth mover's distance is the Mallow's distance: Some insights from statistics
    • Levina, E. and Bickel, P. 2001. The earth mover's distance is the Mallow's distance: Some insights from statistics. In Proceedings IEEE Int. Conf. on Computer Vision, vol. 2, pp. 251-256.
    • (2001) Proceedings IEEE Int. Conf. on Computer Vision , vol.2 , pp. 251-256
    • Levina, E.1    Bickel, P.2
  • 25
    • 0035618489 scopus 로고    scopus 로고
    • Polar factorization of maps on Riemannian manifolds
    • McCann, R. 2001. Polar factorization of maps on Riemannian manifolds. Geom. Funct. Anal., 11:589-608.
    • (2001) Geom. Funct. Anal. , vol.11 , pp. 589-608
    • McCann, R.1
  • 26
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • McCann, R. 1997. A convexity principle for interacting gases. Adv. Math., 128:153-179.
    • (1997) Adv. Math. , vol.128 , pp. 153-179
    • McCann, R.1
  • 28
    • 84968494100 scopus 로고
    • On the volume elements on a manifold
    • Moser, J. 1965. On the volume elements on a manifold. Trans. Amer. Math. Soc., 120:286-294.
    • (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 286-294
    • Moser, J.1
  • 32
    • 0003792599 scopus 로고    scopus 로고
    • The earth mover's distance as a metric for image retrieval
    • Department of Computer Science, Stanford University
    • Rubner, Y., Tomasi, C., and Guibas, J. 1998. The earth mover's distance as a metric for image retrieval. Technical Report STAN-CS-TN-98-86, Department of Computer Science, Stanford University.
    • (1998) Technical Report , vol.STAN-CS-TN-98-86
    • Rubner, Y.1    Tomasi, C.2    Guibas, J.3
  • 36
    • 0003724235 scopus 로고    scopus 로고
    • Academic Press: San Diego
    • Toga, A. 1999. Brain Warping. Academic Press: San Diego.
    • (1999) Brain Warping
    • Toga, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.