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Volumn 32, Issue 2, 2010, Pages 321-334

Minimal surfaces extend shortest path segmentation methods to 3D

Author keywords

3D image segmentation; Boundary operator; Dijkstra's algorithm; Linear programming; Minimal surfaces; Minimum cost circulation network flow; Shortest paths; Total unimodularity

Indexed keywords

3D IMAGE SEGMENTATION; BOUNDARY OPERATOR; DIJKSTRA'S ALGORITHMS; MINIMAL SURFACES; NETWORK FLOWS; SHORTEST PATH; TOTAL UNIMODULARITY;

EID: 73849094741     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2008.289     Document Type: Article
Times cited : (53)

References (52)
  • 1
    • 0346776717 scopus 로고
    • Comments on f. hadlock's paper: Finding a maximum cut of a planar graph in polynomial time
    • K. Aoshima and M. Iri, "Comments on F. Hadlock's Paper: Finding a Maximum Cut of a Planar Graph in Polynomial Time," SIAM J. Computing, vol.6, pp. 86-87, 1977.
    • (1977) SIAM J. Computing , vol.6 , pp. 86-87
    • Aoshima, K.1    Iri, M.2
  • 3
    • 33646887566 scopus 로고    scopus 로고
    • Fast constrained surface extraction by minimal paths
    • Aug.
    • R. Ardon and L.D. Cohen, "Fast Constrained Surface Extraction by Minimal Paths," Int'l J. Computer Vision, vol.69, no.1, pp. 127-136, Aug. 2006.
    • (2006) Int'l J. Computer Vision , vol.69 , Issue.1 , pp. 127-136
    • Ardon, R.1    Cohen, L.D.2
  • 9
    • 0034844730 scopus 로고    scopus 로고
    • Interactive graph cuts for optimal boundary & region segmentation of objects in n-d images
    • Y. Boykov and M.-P. Jolly, "Interactive Graph Cuts for Optimal Boundary & Region Segmentation of Objects in N-D Images," Proc. Int'l Conf. Computer Vision, pp. 105-112, 2001.
    • (2001) Proc. Int'l Conf. Computer Vision , pp. 105-112
    • Boykov, Y.1    Jolly, M.-P.2
  • 10
  • 13
    • 0035687350 scopus 로고    scopus 로고
    • Grouping connected components using minimal path techniques. application to reconstruction of vessels in 2d and 3d images
    • L. Cohen and T. Deschamps, "Grouping Connected Components Using Minimal Path Techniques. Application to Reconstruction of Vessels in 2D and 3D Images," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol.2, pp 102-109, 2001.
    • (2001) Proc. IEEE CS Conf. Computer Vision and Pattern Recognition , vol.2 , pp. 102-109
    • Cohen, L.1    Deschamps, T.2
  • 14
    • 0031213363 scopus 로고    scopus 로고
    • Global minimum for active contour models: A minimal path approach
    • L.D. Cohen and R. Kimmel, "Global Minimum for Active Contour Models: A Minimal Path Approach," Int'l J. Computer Vision, vol.24, no.1, pp. 57-78, 1997.
    • (1997) Int'l J. Computer Vision , vol.24 , Issue.1 , pp. 57-78
    • Cohen, L.D.1    Kimmel, R.2
  • 15
    • 0034571662 scopus 로고    scopus 로고
    • A 3d generalization of user-steered live-wire segmentation
    • A.X. Falcão and J.K. Udupa, "A 3D Generalization of User-Steered Live-Wire Segmentation," Medical Image Analysis, vol.4, pp. 389-402, 2000.
    • (2000) Medical Image Analysis , vol.4 , pp. 389-402
    • Falcão, A.X.1    Udupa, J.K.2
  • 17
    • 0039020948 scopus 로고
    • A primal-dual algorithm for the capacitated hitchcock problem
    • L.R. Ford and D.R. Fulkerson, "A Primal-Dual Algorithm for the Capacitated Hitchcock Problem," Naval Research Logistics Quarterly, vol.4, pp. 47-54, 1957.
    • (1957) Naval Research Logistics Quarterly , vol.4 , pp. 47-54
    • Ford, L.R.1    Fulkerson, D.R.2
  • 20
    • 0000332841 scopus 로고
    • Springer-Verlag, Paths, Flows and VLSI-Design, B. Korte, L. Lovasz, H. Proemel, and A. Schrijver, Eds.
    • A.V. Goldberg, E. Tardos, and R.E. Tarjan, "Network Flow Algorithms," Paths, Flows and VLSI-Design, B. Korte, L. Lovasz, H. Proemel, and A. Schrijver, eds., pp. 101-164, Springer-Verlag, 1990.
    • (1990) Network Flow Algorithms , pp. 101-164
    • Goldberg, A.V.1    Tardos, E.2    Tarjan, R.E.3
  • 21
    • 33845572152 scopus 로고    scopus 로고
    • Computing exact discrete minimal surfaces: Extending and solving the shortest path problem in 3D with application to segmentation
    • June
    • L. Grady, "Computing Exact Discrete Minimal Surfaces: Extending and Solving the Shortest Path Problem in 3D with Application to Segmentation," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol.1, pp. 69-78, June 2006.
    • (2006) Proc. IEEE CS Conf. Computer Vision and Pattern Recognition , vol.1 , pp. 69-78
    • Grady, L.1
  • 22
    • 0000120312 scopus 로고
    • Finding a maximum cut of a planar graph in polynomial time
    • F. Hadlock, "Finding a Maximum Cut of a Planar Graph in Polynomial Time," SIAM J. Computing, vol.4, no.3, pp. 221-225, 1975.
    • (1975) SIAM J. Computing , vol.4 , Issue.3 , pp. 221-225
    • Hadlock, F.1
  • 28
  • 31
    • 33644824640 scopus 로고    scopus 로고
    • Optimal surface segmentation in volumetric images\-a graph-theoretic approach
    • Jan.
    • K. Li, X. Wu, D.Z. Chen, and M. Sonka, "Optimal Surface Segmentation in Volumetric Images\-A Graph-Theoretic Approach," IEEE Trans. Pattern Analysis and Machine Intelligence, vol.28, no.1, pp. 119-134, Jan. 2006.
    • (2006) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.28 , Issue.1 , pp. 119-134
    • Li, K.1    Wu, X.2    Chen, D.Z.3    Sonka, M.4
  • 32
    • 1542295883 scopus 로고    scopus 로고
    • The finite volume, finite element and finite difference methods as numerical methods for physical field problems
    • Academic Press, Inc., Apr.
    • C. Mattiussi, "The Finite Volume, Finite Element and Finite Difference Methods as Numerical Methods for Physical Field Problems," Advances in Imaging and Electron Physics, pp. 1-146, Academic Press, Inc., Apr. 2000.
    • (2000) Advances in Imaging and Electron Physics , pp. 1-146
    • Mattiussi, C.1
  • 34
    • 0032167307 scopus 로고    scopus 로고
    • Interactive segmentation with intelligent scissors
    • E. Mortensen and W. Barrett, "Interactive Segmentation with Intelligent Scissors," Graphical Models in Image Processing, vol.60, no.5, pp. 349-384, 1998.
    • (1998) Graphical Models in Image Processing , vol.60 , Issue.5 , pp. 349-384
    • Mortensen, E.1    Barrett, W.2
  • 36
    • 33845578435 scopus 로고
    • On mesh and node determinants
    • S. Okada, "On Mesh and Node Determinants," Proc. IRE, vol.43, p. 1527, 1955.
    • (1955) Proc. IRE , vol.43 , pp. 1527
    • Okada, S.1
  • 39
    • 0032309503 scopus 로고    scopus 로고
    • A maximum-flow formulation of the n-camera stereo correspondence problem
    • S. Roy and I. Cox, "A Maximum-Flow Formulation of the n-Camera Stereo Correspondence Problem," Proc. Int'l Conf. Computer Vision, pp. 492-499, 1998.
    • (1998) Proc. Int'l Conf. Computer Vision , pp. 492-499
    • Roy, S.1    Cox, I.2
  • 42
    • 0034856462 scopus 로고    scopus 로고
    • Local cost computation for efficient segmentation of 3D objects with live wire
    • M. Sonka and K.M. Hanson, eds.
    • A. Schenk, G. Prause, and H.-O. Peitgen, "Local Cost Computation for Efficient Segmentation of 3D Objects with Live Wire," Proc. SPIE Medical Imaging, M. Sonka and K.M. Hanson, eds., pp. 1357-1364, 2001.
    • (2001) Proc. SPIE Medical Imaging , pp. 1357-1364
    • Schenk, A.1    Prause, G.2    Peitgen, H.-O.3
  • 43
    • 73849138302 scopus 로고
    • The mesh counterpart of shekel's theorem
    • S. Seshu, "The Mesh Counterpart of Shekel's Theorem," Proc. IRE, vol.43, p. 342, 1955.
    • (1955) Proc. IRE , vol.43 , pp. 342
    • Seshu, S.1
  • 44
    • 0029966538 scopus 로고    scopus 로고
    • A fast marching level set method for mono-tonically advancing fronts
    • J.A. Sethian, "A Fast Marching Level Set Method for Mono-tonically Advancing Fronts," Proc. Nat'l Academy of Sciences USA, vol.93, no.4, pp. 1591-1595, 1996.
    • (1996) Proc. Nat'l Academy of Sciences USA , vol.93 , Issue.4 , pp. 1591-1595
    • Sethian, J.A.1
  • 46
    • 0025433817 scopus 로고
    • Unifying maximum cut and minimum cut of a planar graph
    • May
    • W.-K. Shih, S. Wu, and Y.S. Kuo, "Unifying Maximum Cut and Minimum Cut of a Planar Graph," IEEE Trans. Computers, vol.39, no.5, pp. 694-697, May 1990.
    • (1990) IEEE Trans. Computers , vol.39 , Issue.5 , pp. 694-697
    • Shih, W.-K.1    Wu, S.2    Kuo, Y.S.3
  • 48
    • 0036901399 scopus 로고    scopus 로고
    • Fast optical flow using 3D shortest path techniques
    • Dec.
    • C. Sun, "Fast Optical Flow Using 3D Shortest Path Techniques," Image and Vision Computing, vol.20, nos. 13/14, pp. 981-991, Dec. 2002.
    • (2002) Image and Vision Computing , vol.20 , Issue.13-14 , pp. 981-991
    • Sun, C.1
  • 49
    • 0002433937 scopus 로고    scopus 로고
    • On the geometrical structure of electromagnetism
    • G. Ferraese, ed. Pitagora
    • E. Tonti, "On the Geometrical Structure of Electromagnetism," Gravitation, Electromagnetism and Geometrical Structures, G. Ferraese, ed., pp. 281-308, Pitagora, 1996.
    • (1996) Gravitation, Electromagnetism and Geometrical Structures , pp. 281-308
    • Tonti, E.1
  • 50
    • 1942432145 scopus 로고
    • Algebraic characterizations of unimodular matrices
    • Sept.
    • K. Truemper, "Algebraic Characterizations of Unimodular Matrices," SIAM J. Applied Math., vol.35, no.2, pp. 328-332, Sept. 1978.
    • (1978) SIAM J. Applied Math. , vol.35 , Issue.2 , pp. 328-332
    • Truemper, K.1
  • 51
    • 0029373106 scopus 로고
    • Efficient algorithms for globally optimal trajectories
    • Sept.
    • J.N. Tsitsiklis, "Efficient Algorithms for Globally Optimal Trajectories," IEEE Trans. Automatic Control, vol.40, no.9, pp. 1528-1538, Sept. 1995.
    • (1995) IEEE Trans. Automatic Control , vol.40 , Issue.9 , pp. 1528-1538
    • Tsitsiklis, J.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.