메뉴 건너뛰기




Volumn 23, Issue 2, 1999, Pages 373-402

Computing with front propagation: Active contour and skeleton models in continuous-time CNN

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; PARTIAL DIFFERENTIAL EQUATIONS; WAVE PROPAGATION;

EID: 0033340805     PISSN: 09225773     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008153320440     Document Type: Article
Times cited : (62)

References (67)
  • 1
    • 34250118137 scopus 로고
    • Curvature and evolution of fronts
    • J.A. Sethian, "Curvature and evolution of fronts," Comm. in Mathematical Physics, Vol. 101, pp. 487-499, 1985.
    • (1985) Comm. in Mathematical Physics , vol.101 , pp. 487-499
    • Sethian, J.A.1
  • 2
    • 84972535294 scopus 로고
    • Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
    • J.A. Sethian, "Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws," Journal of Differential Geometry, Vol. 31, pp. 131-161, 1990.
    • (1990) Journal of Differential Geometry , vol.31 , pp. 131-161
    • Sethian, J.A.1
  • 3
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulation
    • S. Osher, and J.A. Sethian, "Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulation," Journal of Computational Physics, Vol. 79, pp. 12-49, 1988.
    • (1988) Journal of Computational Physics , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 4
    • 0002926251 scopus 로고
    • Flame advection and propagation algorithms
    • A.J. Chorin, "Flame advection and propagation algorithms," Journal of Computational Physics, Vol. 35, pp. 1-11, 1980.
    • (1980) Journal of Computational Physics , vol.35 , pp. 1-11
    • Chorin, A.J.1
  • 9
    • 0024092072 scopus 로고
    • Cellular neural networks: Applications
    • Oct.
    • L.O. Chua and L. Yang, "Cellular neural networks: Applications," IEEE Trans. on Circuits and Systems, Vol. 35, pp. 1273-1290, Oct. 1988.
    • (1988) IEEE Trans. on Circuits and Systems , vol.35 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 12
    • 0029388403 scopus 로고
    • Simulating nonlinear waves and partial differential equations via CNN - Part I: Basic techniques
    • Oct.
    • T. Roska, L.O. Chua, D. Wolf, T. Kozek, R. Tetzlaff, and F. Puffer, "Simulating nonlinear waves and partial differential equations via CNN - Part I: Basic techniques," IEEE Trans. on Circuits and Systems, Vol. 42, No. 10, pp. 807-815, Oct. 1995.
    • (1995) IEEE Trans. on Circuits and Systems , vol.42 , Issue.10 , pp. 807-815
    • Roska, T.1    Chua, L.O.2    Wolf, D.3    Kozek, T.4    Tetzlaff, R.5    Puffer, F.6
  • 13
    • 0029388737 scopus 로고
    • Simulating nonlinear waves and partial differential equations via CNN - Part II: Typical examples
    • Oct.
    • T. Kozek, L.O. Chua, T. Roska, D. Wolf, R. Tetzlaff, F. Puffer, and K. Lotz, "Simulating nonlinear waves and partial differential equations via CNN - Part II: Typical examples," IEEE Trans. on Circuits and Systems, Vol. 42, No. 10, pp. 816-821, Oct. 1995.
    • (1995) IEEE Trans. on Circuits and Systems , vol.42 , Issue.10 , pp. 816-821
    • Kozek, T.1    Chua, L.O.2    Roska, T.3    Wolf, D.4    Tetzlaff, R.5    Puffer, F.6    Lotz, K.7
  • 15
    • 0023362335 scopus 로고
    • Propagation and its failure in coupled systems of discrete excitable cells
    • J.P. Keener, "Propagation and its failure in coupled systems of discrete excitable cells," SIAM J. Appl. Math., Vol. 47, pp. 556-572, 1987.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 556-572
    • Keener, J.P.1
  • 24
    • 0343766022 scopus 로고
    • A digital multiprocessor hardware accelerator board for cellular neural networks: CNN-HAC
    • edited by T. Roska and J. Vandewalle (Eds.), John Wiley & Sons Ltd
    • T. Roska, G. Bártfai, P. Szolgay, T. Szirányi, A. Radványi, T. Kozek, Zs. Ugray, and Á. Zarándy, "A digital multiprocessor hardware accelerator board for cellular neural networks: CNN-HAC," in Cellular Neural Networks, edited by T. Roska and J. Vandewalle (Eds.), John Wiley & Sons Ltd, 1993.
    • (1993) Cellular Neural Networks
    • Roska, T.1    Bártfai, G.2    Szolgay, P.3    Szirányi, T.4    Radványi, A.5    Kozek, T.6    Ugray, Zs.7    Zarándy, Á.8
  • 29
    • 0004269916 scopus 로고    scopus 로고
    • Prentice Hall International Editions
    • A. Blake and M. Isard, Active Contours, Prentice Hall International Editions, 1998.
    • (1998) Active Contours
    • Blake, A.1    Isard, M.2
  • 35
    • 0031117337 scopus 로고    scopus 로고
    • A more rigorous proof of complete stability of cellular neural networks
    • C.W. Wu and L.O. Chua, "A more rigorous proof of complete stability of cellular neural networks," IEEE Trans. on Circuits and Systems, Vol. 44, No. 4, pp. 370-371, 1997.
    • (1997) IEEE Trans. on Circuits and Systems , vol.44 , Issue.4 , pp. 370-371
    • Wu, C.W.1    Chua, L.O.2
  • 36
    • 0020970741 scopus 로고
    • Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
    • M.A. Cohen and S. Grossberg, "Absolute stability of global pattern formation and parallel memory storage by competitive neural networks," IEEE Trans. on Systems, Man and Cybernetics, Vol. 13, pp. 815-826, 1983.
    • (1983) IEEE Trans. on Systems, Man and Cybernetics , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 37
    • 0028484639 scopus 로고
    • Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions
    • M. Gilli, "Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions," IEEE Trans. on Circuits and Systems, Vol. 41, pp. 518-528, 1994.
    • (1994) IEEE Trans. on Circuits and Systems , vol.41 , pp. 518-528
    • Gilli, M.1
  • 38
    • 0025632457 scopus 로고
    • Stability of a class of nonreciprocal cellular neural networks
    • L.O. Chua and T. Roska, "Stability of a class of nonreciprocal cellular neural networks," IEEE Trans. on Circuits and Systems, Vol. 37, No. 12, pp. 1520-1527, 1990.
    • (1990) IEEE Trans. on Circuits and Systems , vol.37 , Issue.12 , pp. 1520-1527
    • Chua, L.O.1    Roska, T.2
  • 39
    • 0001176145 scopus 로고
    • Systems of differential equations which are competitive or cooperative. II: Convergence almost everywhere
    • M.W. Hirsh, "Systems of differential equations which are competitive or cooperative. II: Convergence almost everywhere," SIAM J. Appl. Math., Vol. 16, pp. 423-439, 1985.
    • (1985) SIAM J. Appl. Math. , vol.16 , pp. 423-439
    • Hirsh, M.W.1
  • 45
    • 21844517639 scopus 로고
    • Synergetics: From pattern formation to pattern analysis and recognition
    • H. Haken, "Synergetics: From pattern formation to pattern analysis and recognition," International Journal on Bifurcation and Chaos, Vol. 4, No. 5, pp. 1069-1083, 1994.
    • (1994) International Journal on Bifurcation and Chaos , vol.4 , Issue.5 , pp. 1069-1083
    • Haken, H.1
  • 46
    • 0000832513 scopus 로고
    • Autowave principles for image processing
    • V.I. Krinsky, V.N. Biktashev, and I.R. Efimov, "Autowave principles for image processing," Physica D, Vol. 49, pp. 247-253, 1991.
    • (1991) Physica D , vol.49 , pp. 247-253
    • Krinsky, V.I.1    Biktashev, V.N.2    Efimov, I.R.3
  • 47
    • 0027562437 scopus 로고
    • Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: Flat and wrinkled labyrinths
    • V. Pérez-Muñuzuri, V. Pérez-Villar, and L.O. Chua, "Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: Flat and wrinkled labyrinths," IEEE Trans. on Circuits and Systems, Vol. 40, pp. 174-181, 1993.
    • (1993) IEEE Trans. on Circuits and Systems , vol.40 , pp. 174-181
    • Pérez-Muñuzuri, V.1    Pérez-Villar, V.2    Chua, L.O.3
  • 49
    • 0030405636 scopus 로고    scopus 로고
    • Novel algorithm for finding the shortest path using simple CNN structure
    • Seville
    • B.D. Reljin and P.D. Kostic, "Novel algorithm for finding the shortest path using simple CNN structure," in Proc. CNNA'96, Seville, pp. 423-426, 1996.
    • (1996) Proc. CNNA'96 , pp. 423-426
    • Reljin, B.D.1    Kostic, P.D.2
  • 50
    • 0032003290 scopus 로고    scopus 로고
    • Implementation of binary and gray-scale morphology on the CNN universal machine
    • Feb.
    • Á. Zarándy, A. Stoffels, T. Roska, and L.O. Chua, "Implementation of binary and gray-scale morphology on the CNN universal machine," IEEE Trans. on Circuits and Systems, Vol. 45, pp. 163-167, Feb. 1998.
    • (1998) IEEE Trans. on Circuits and Systems , vol.45 , pp. 163-167
    • Zarándy, Á.1    Stoffels, A.2    Roska, T.3    Chua, L.O.4
  • 51
    • 0000234805 scopus 로고
    • Analogic CNN algorithms for some image compression, decompression and restoration tasks
    • Jan.
    • P.L. Venetiáner, F. Werblin, T. Roska, and L.O. Chua, "Analogic CNN algorithms for some image compression, decompression and restoration tasks," IEEE Transactions on Circuits and Systems, Vol. 42, pp. 278-284, Jan. 1995.
    • (1995) IEEE Transactions on Circuits and Systems , vol.42 , pp. 278-284
    • Venetiáner, P.L.1    Werblin, F.2    Roska, T.3    Chua, L.O.4
  • 53
    • 0030236522 scopus 로고    scopus 로고
    • Characterization and dynamics of pattern formation in cellular neural networks
    • K.R. Crounse, L.O. Chua, P. Thiran, and G. Setti, "Characterization and dynamics of pattern formation in cellular neural networks," Int. Journal of Bifurcation and Chaos, Vol. 6, pp. 1703-1724, 1996.
    • (1996) Int. Journal of Bifurcation and Chaos , vol.6 , pp. 1703-1724
    • Crounse, K.R.1    Chua, L.O.2    Thiran, P.3    Setti, G.4
  • 54
    • 0029389838 scopus 로고
    • Methods for image processing in cellular neural networks: A tutorial
    • Oct.
    • K.R. Crounse and L.O. Chua, "Methods for image processing in cellular neural networks: A tutorial," IEEE Trans. on Circuits and Systems, Vol. 42, No. 10, pp. 583-601, Oct. 1995.
    • (1995) IEEE Trans. on Circuits and Systems , vol.42 , Issue.10 , pp. 583-601
    • Crounse, K.R.1    Chua, L.O.2
  • 55
    • 0343330108 scopus 로고    scopus 로고
    • Solving the shortest path problem in the CNN framework comparison of different approaches
    • Analogical and Neural Computing Laboratory, Computer and Automation Institute of the Hungarian Academy of Sciences, Budapest
    • Cs. Rekeczky, "Solving the shortest path problem in the CNN framework comparison of different approaches," DNS-7-99, Technical Report, Analogical and Neural Computing Laboratory, Computer and Automation Institute of the Hungarian Academy of Sciences, Budapest, 1999.
    • (1999) DNS-7-99, Technical Report
    • Rekeczky, Cs.1
  • 62
    • 84882536619 scopus 로고
    • An algorithm for path connections and its application
    • C.Y. Lee, "An algorithm for path connections and its application," IRE Trans. Electron. Comp., Vol. EC-10, pp. 346-365, 1961.
    • (1961) IRE Trans. Electron. Comp. , vol.EC-10 , pp. 346-365
    • Lee, C.Y.1
  • 63
    • 0001860685 scopus 로고
    • Shortest path through a maze
    • Harvard University Press, Cambridge, MA
    • E.F. Moore, "Shortest path through a maze," Ann. Computation Lab. of Harvard University, Harvard University Press, Cambridge, MA, Vol. 30, pp. 285-292, 1959.
    • (1959) Ann. Computation Lab. of Harvard University , vol.30 , pp. 285-292
    • Moore, E.F.1
  • 64
    • 84911584312 scopus 로고
    • Shortest connection networks and some generalizations
    • R.C. Prim, "Shortest connection networks and some generalizations," Bell Syst. Techn. Journal, Vol. 36, pp. 1389-1401, 1957.
    • (1957) Bell Syst. Techn. Journal , vol.36 , pp. 1389-1401
    • Prim, R.C.1
  • 66
    • 0343330104 scopus 로고
    • Analogic CNN algorithm exploring the shortest path: Possible applications in routing problems
    • Institute of Electronics, Information and Communication Engineers NLP'94, Tokyo, Sept.
    • Cs. Rekeczky, A. Ushida, and T. Roska, "Analogic CNN algorithm exploring the shortest path: Possible applications in routing problems," Technical Report, Institute of Electronics, Information and Communication Engineers NLP'94, Tokyo, Vol. 94, No. 259, pp. 61-68, Sept. 1994.
    • (1994) Technical Report , vol.94 , Issue.259 , pp. 61-68
    • Rekeczky, Cs.1    Ushida, A.2    Roska, T.3
  • 67
    • 0342895046 scopus 로고
    • On a framework of complexity of computations on flows - Implemented on the CNN universal machine
    • Analogical and Neural Computing Systems Laboratory of the Comp. and Aut. Inst., Hung. Acad. of Sci., Budapest
    • T. Roska and L.O. Chua, "On a framework of complexity of computations on flows - Implemented on the CNN universal machine," DNS-15-1995, Technical Report, Analogical and Neural Computing Systems Laboratory of the Comp. and Aut. Inst., Hung. Acad. of Sci., Budapest, 1995.
    • (1995) DNS-15-1995, Technical Report
    • Roska, T.1    Chua, L.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.