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Volumn 225, Issue 1, 2007, Pages 771-784

Weighted distance maps computation on parametric three-dimensional manifolds

Author keywords

Angle splitting; Distance map; Fast marching; Fast sweeping; Geodesic distance; Parametric three dimensional riemannian manifolds

Indexed keywords

DIFFERENTIAL EQUATIONS; INTEGER PROGRAMMING; WAVEFRONTS;

EID: 34447249307     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.01.009     Document Type: Article
Times cited : (24)

References (12)
  • 2
    • 85190270308 scopus 로고    scopus 로고
    • Kao, C., Osher, S., Tsai, Y., 2002. Fast sweeping methods for static Hamilton-Jacobi equations. Tech. rep., Department of Mathematics, University of California, Los Angeles.
  • 3
    • 0032555230 scopus 로고    scopus 로고
    • Computing geodesic paths on manifolds
    • Kimmel R., and Sethian J.A. Computing geodesic paths on manifolds. Proc. Natl. Acad. Sci. 95 15 (1998) 8431-8435
    • (1998) Proc. Natl. Acad. Sci. , vol.95 , Issue.15 , pp. 8431-8435
    • Kimmel, R.1    Sethian, J.A.2
  • 4
    • 0035507080 scopus 로고    scopus 로고
    • Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces
    • Mémoli F., and Sapiro G. Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. J. Comput. Phys. 173 1 (2001) 764-795
    • (2001) J. Comput. Phys. , vol.173 , Issue.1 , pp. 764-795
    • Mémoli, F.1    Sapiro, G.2
  • 5
    • 85190281642 scopus 로고    scopus 로고
    • J. Qian, Y. Zhang, H. Zhao, A fast sweeping method for static convex Hamilton-Jacobi equations. SIAM J. Numer. Anal., in press.
  • 6
    • 85190241259 scopus 로고    scopus 로고
    • J. Qian, Y. Zhang, H. Zhao, Fast sweeping methods for eikonal equations on triangulated meshes. SIAM J. Numer. Anal., in press.
  • 7
    • 0029966538 scopus 로고    scopus 로고
    • A fast marching level set method for monotonically advancing fronts
    • Sethian J.A. A fast marching level set method for monotonically advancing fronts. Proc. Natl. Acad. Sci. 93 4 (1996) 1591-1595
    • (1996) Proc. Natl. Acad. Sci. , vol.93 , Issue.4 , pp. 1591-1595
    • Sethian, J.A.1
  • 8
    • 0034705102 scopus 로고    scopus 로고
    • Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured meshes
    • Sethian J.A., and Vladimirsky A. Fast methods for the Eikonal and related Hamilton-Jacobi equations on unstructured meshes. PNAS 97 11 (2000) 5699-5703
    • (2000) PNAS , vol.97 , Issue.11 , pp. 5699-5703
    • Sethian, J.A.1    Vladimirsky, A.2
  • 9
    • 4944266216 scopus 로고    scopus 로고
    • An efficient solution to the eikonal equation on parametric manifolds
    • Spira A., and Kimmel R. An efficient solution to the eikonal equation on parametric manifolds. Interfaces Free Boundaries 6 4 (2004) 315-327
    • (2004) Interfaces Free Boundaries , vol.6 , Issue.4 , pp. 315-327
    • Spira, A.1    Kimmel, R.2
  • 10
    • 1942479348 scopus 로고    scopus 로고
    • Fast sweeping algorithms for a class of Hamilton-Jacobi equations
    • Tsai Y., Cheng L., Osher S., and Zhao H. Fast sweeping algorithms for a class of Hamilton-Jacobi equations. SIAM J. Numer. Anal. 41 2 (2003) 673-694
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.2 , pp. 673-694
    • Tsai, Y.1    Cheng, L.2    Osher, S.3    Zhao, H.4
  • 11
    • 0029373106 scopus 로고
    • Efficient algorithms for globally optimal trajectories
    • Tsitsiklis J.N. Efficient algorithms for globally optimal trajectories. IEEE Trans Automatic Control 40 9 (1995) 1528-1538
    • (1995) IEEE Trans Automatic Control , vol.40 , Issue.9 , pp. 1528-1538
    • Tsitsiklis, J.N.1
  • 12
    • 14944383149 scopus 로고    scopus 로고
    • Fast sweeping method for eikonal equations
    • Zhao H.K. Fast sweeping method for eikonal equations. Math. Comput. 74 (2005) 603-627
    • (2005) Math. Comput. , vol.74 , pp. 603-627
    • Zhao, H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.