메뉴 건너뛰기




Volumn 51, Issue 1, 2015, Pages 22-45

Sliced and Radon Wasserstein Barycenters of Measures

Author keywords

Barycenter of measures; Optimal transport; Radon transform; Wasserstein distance

Indexed keywords

CONVEX OPTIMIZATION; IMAGE PROCESSING; MATHEMATICAL TRANSFORMATIONS; TEXTURES;

EID: 84921701237     PISSN: 09249907     EISSN: 15737683     Source Type: Journal    
DOI: 10.1007/s10851-014-0506-3     Document Type: Article
Times cited : (575)

References (32)
  • 1
    • 79957507569 scopus 로고    scopus 로고
    • Barycenters in the wasserstein space
    • Agueh, M., Carlier, G.: Barycenters in the wasserstein space. SIAM J. Math. Anal. 43(2), 904–924 (2011)
    • (2011) SIAM J. Math. Anal. , vol.43 , Issue.2 , pp. 904-924
    • Agueh, M.1    Carlier, G.2
  • 3
    • 0034407460 scopus 로고    scopus 로고
    • A computational fluid mechanics solution of the monge-kantorovich mass transfer problem
    • Benamou, J.D., Brenier, Y.: A computational fluid mechanics solution of the monge-kantorovich mass transfer problem. Numer. Math. 84(3), 375–393 (2000)
    • (2000) Numer. Math. , vol.84 , Issue.3 , pp. 375-393
    • Benamou, J.D.1    Brenier, Y.2
  • 5
    • 0000964556 scopus 로고
    • The auction algorithm: a distributed relaxation method for the assignment problem
    • Bertsekas, D.: The auction algorithm: a distributed relaxation method for the assignment problem. Ann. Operat. Res. 14, 105–123 (1988)
    • (1988) Ann. Operat. Res. , vol.14 , pp. 105-123
    • Bertsekas, D.1
  • 6
    • 85016686131 scopus 로고    scopus 로고
    • Consistent estimation of a population barycenter in the wasserstein space
    • Bigot, J., Klein, T.: Consistent estimation of a population barycenter in the wasserstein space. Preprint arXiv:1212.2562v3 (2014)
    • (2014) Preprint arXiv:1212.2562v3
    • Bigot, J.1    Klein, T.2
  • 7
    • 70350223723 scopus 로고    scopus 로고
    • Support theorems for the radon transform and Cramèr–Wold theorems
    • Boman, J., Lindskog, F.: Support theorems for the radon transform and Cramèr–Wold theorems. J. Theor. Prob. 22(3), 683–710 (2009)
    • (2009) J. Theor. Prob. , vol.22 , Issue.3 , pp. 683-710
    • Boman, J.1    Lindskog, F.2
  • 9
    • 0000277306 scopus 로고    scopus 로고
    • A fast discrete approximation algorithm for the radon transform
    • Brady, M.L.: A fast discrete approximation algorithm for the radon transform. J. Comput. 27(1), 107–119 (1998)
    • (1998) J. Comput. , vol.27 , Issue.1 , pp. 107-119
    • Brady, M.L.1
  • 12
    • 30144436714 scopus 로고    scopus 로고
    • Movie and video scale-time equalization application to flicker reduction
    • Delon, J.: Movie and video scale-time equalization application to flicker reduction. IEEE Trans. Image Process. 15(1), 241–248 (2006)
    • (2006) IEEE Trans. Image Process. , vol.15 , Issue.1 , pp. 241-248
    • Delon, J.1
  • 14
    • 84898599466 scopus 로고    scopus 로고
    • Feature-preserving surface reconstruction and simplification from defect-laden point sets
    • Digne, J., Cohen-Steiner, D., Alliez, P., Goes, F., Desbrun, M.: Feature-preserving surface reconstruction and simplification from defect-laden point sets. J. Math. Imaging Vis. 48(2), 369–382 (2013)
    • (2013) J. Math. Imaging Vis , vol.48 , Issue.2 , pp. 369-382
    • Digne, J.1    Cohen-Steiner, D.2    Alliez, P.3    Goes, F.4    Desbrun, M.5
  • 18
    • 4043173501 scopus 로고    scopus 로고
    • Optimal mass transport for registration and warping
    • Haker, S., Zhu, L., Tannenbaum, A., Angenent, S.: Optimal mass transport for registration and warping. Int. J. Comput. Vis. 60(3), 225–240 (2004)
    • (2004) Int. J. Comput. Vis. , vol.60 , Issue.3 , pp. 225-240
    • Haker, S.1    Zhu, L.2    Tannenbaum, A.3    Angenent, S.4
  • 20
    • 0001393149 scopus 로고
    • On the transfer of masses
    • (in russian)
    • Kantorovich, L.: On the transfer of masses. Doklady Akademii Nauk 37(2), 227–229 (1942). (in russian)
    • (1942) Doklady Akademii Nauk , vol.37 , Issue.2 , pp. 227-229
    • Kantorovich, L.1
  • 21
    • 0002719797 scopus 로고
    • The Hungarian method of solving the assignment problem
    • Kuhn, H.W.: The Hungarian method of solving the assignment problem. Naval Res. Logist. Quart. 2, 83–97 (1955)
    • (1955) Naval Res. Logist. Quart. , vol.2 , pp. 83-97
    • Kuhn, H.W.1
  • 22
    • 33646057364 scopus 로고    scopus 로고
    • Texture design using a simplicial complex of morphable textures
    • Matusik, W., Zwicker, M., Durand, F.: Texture design using a simplicial complex of morphable textures. ACM Trans. Graph. 24(3), 787–794 (2005)
    • (2005) ACM Trans. Graph. , vol.24 , Issue.3 , pp. 787-794
    • Matusik, W.1    Zwicker, M.2    Durand, F.3
  • 23
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • McCann, R.J.: A convexity principle for interacting gases. Adv. Math. 128(1), 153–179 (1997)
    • (1997) Adv. Math. , vol.128 , Issue.1 , pp. 153-179
    • McCann, R.J.1
  • 24
    • 84880847393 scopus 로고    scopus 로고
    • A multiscale approach to optimal transport
    • Mérigot, Q.: A multiscale approach to optimal transport. Comput. Graph. Forum 30(5), 1583–1592 (2011)
    • (2011) Comput. Graph. Forum , vol.30 , Issue.5 , pp. 1583-1592
    • Mérigot, Q.1
  • 25
    • 84897483975 scopus 로고    scopus 로고
    • Optimal transport with proximal splitting
    • Papadakis, N., Peyré, G., Oudet, E.: Optimal transport with proximal splitting. SIAM J. Imaging Sci. 7(1), 212–238 (2014)
    • (2014) SIAM J. Imaging Sci. , vol.7 , Issue.1 , pp. 212-238
    • Papadakis, N.1    Peyré, G.2    Oudet, E.3
  • 27
    • 80054795067 scopus 로고    scopus 로고
    • Removing artefacts from color and contrast modifications
    • Rabin, J., Delon, J., Gousseau, Y.: Removing artefacts from color and contrast modifications. IEEE Trans. Image Process. 20(11), 3073–3085 (2011)
    • (2011) IEEE Trans. Image Process. , vol.20 , Issue.11 , pp. 3073-3085
    • Rabin, J.1    Delon, J.2    Gousseau, Y.3
  • 31
    • 0032186984 scopus 로고    scopus 로고
    • Incremental gradient algorithms with stepsizes bounded away from zero
    • Solodov, M.: Incremental gradient algorithms with stepsizes bounded away from zero. Comput. Optim. Appl. 11(1), 23–35 (1998)
    • (1998) Comput. Optim. Appl. , vol.11 , Issue.1 , pp. 23-35
    • Solodov, M.1
  • 32
    • 1542342359 scopus 로고    scopus 로고
    • Topics in Optimal Transportation. Graduate Studies in Mathematics Series
    • Villani, C.: Topics in Optimal Transportation. Graduate Studies in Mathematics Series. American Mathematical Society (2003)
    • (2003) American Mathematical Society
    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.