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Volumn 5, Issue 4, 2004, Pages 347-360

Reflection in a level set framework for geometric optics

Author keywords

[No Author keywords available]

Indexed keywords

EIKONAL EQUATIONS; HAMILTON-JACOBI EQUATIONS; TRANSPORT EQUATIONS; TRAVELTIME;

EID: 5144225979     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (37)
  • 1
    • 0032966930 scopus 로고    scopus 로고
    • Big Ray Tracing and Eikonal Solver on Unstructured Grids: Application to the Computation of a Multivalued Travel-Time Field in the Marmousi Model
    • Abgrall, R.; Benamou, J.-D. (1999): Big Ray Tracing and Eikonal Solver on Unstructured Grids: Application to the Computation of a Multivalued Travel-Time Field in the Marmousi Model. Geophysics, vol. 64, pp. 230-239.
    • (1999) Geophysics , vol.64 , pp. 230-239
    • Abgrall, R.1    Benamou, J.-D.2
  • 2
    • 28144437204 scopus 로고
    • A fast level set method for propagating interfaces
    • Adalsteinsson, D.; Sethian, J. (1995): A Fast Level Set Method for Propagating Interfaces. J. Comput. Phys., vol. 118, pp. 269-277.
    • (1995) J. Comput. Phys. , vol.118 , pp. 269-277
    • Adalsteinsson, D.1    Sethian, J.2
  • 5
    • 5144225363 scopus 로고    scopus 로고
    • An eulerian numerical method for geometric optics
    • (to appear). To appear in
    • Benamou, J.-B. (to appear): An Eulerian Numerical Method for Geometric Optics. To appear in COCV Proc., ??.
    • COCV Proc.
    • Benamou, J.-B.1
  • 6
    • 0030588020 scopus 로고    scopus 로고
    • Big ray tracing: Multi-valued travel time field computation using viscosity solutions of the eikonal equation
    • Benamou, J.-D. (1996): Big Ray Tracing: Multi-Valued Travel Time Field Computation Using Viscosity Solutions of the Eikonal Equation. J. Comput. Phys., vol. 128, pp. 463-474.
    • (1996) J. Comput. Phys. , vol.128 , pp. 463-474
    • Benamou, J.-D.1
  • 7
    • 0033421722 scopus 로고    scopus 로고
    • Direct Solution of Multi-Valued Phase-Space Solutions for Hamilton-Jacobi Equations
    • Benamou, J.-D. (1999): Direct Solution of Multi-Valued Phase-Space Solutions for Hamilton-Jacobi Equations. Comm. Pure Appl. Math., vol. 52.
    • (1999) Comm. Pure Appl. Math. , vol.52
    • Benamou, J.-D.1
  • 8
    • 0003086022 scopus 로고
    • Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized radon transform
    • Beylkin, G. (1985): Imaging of Discontinuities in the Inverse Scattering Problem by Inversion of a Causal Generalized Radon Transform. J. Math. Phys., vol. 26, pp. 99-108.
    • (1985) J. Math. Phys. , vol.26 , pp. 99-108
    • Beylkin, G.1
  • 9
    • 0025207461 scopus 로고
    • Linearized inverse scattering problem of acoustics and elasticity
    • Beylkin, G.; Burridge, R. (1990): Linearized Inverse Scattering Problem of Acoustics and Elasticity. Wave Motion, vol. 12, pp. 15-22.
    • (1990) Wave Motion , vol.12 , pp. 15-22
    • Beylkin, G.1    Burridge, R.2
  • 11
    • 0038232851 scopus 로고    scopus 로고
    • A kinetic formulation for multi-branch entropy solutions of scalar conservation laws
    • Brenier, Y.; Corrias, L. (1996): A Kinetic Formulation for Multi-Branch Entropy Solutions of Scalar Conservation Laws. Ann. IHP Analyse non-lineaire.
    • (1996) Ann. IHP Analyse Non-lineaire
    • Brenier, Y.1    Corrias, L.2
  • 13
    • 0000275077 scopus 로고    scopus 로고
    • Motion of curves in three spatial dimensions using a level set approach
    • Burchard, P.; Cheng, L.-T.; Merriman, B.; Osher, S. (2001): Motion of Curves in Three Spatial Dimensions Using a Level Set Approach. J. Comput. Phys., vol. 170, no. 2, pp. 720-741.
    • (2001) J. Comput. Phys. , vol.170 , Issue.2 , pp. 720-741
    • Burchard, P.1    Cheng, L.-T.2    Merriman, B.3    Osher, S.4
  • 15
    • 0000322249 scopus 로고    scopus 로고
    • Generalized radon transform inversions for reflectivity in anisotropic elastic media
    • de Hoop, M.; Bleistein, N. (1997): Generalized Radon Transform Inversions for Reflectivity in Anisotropic Elastic Media. Inverse Problems, vol. 13, pp. 669-690.
    • (1997) Inverse Problems , vol.13 , pp. 669-690
    • De Hoop, M.1    Bleistein, N.2
  • 16
    • 84980174402 scopus 로고
    • Oscillatory integrals, lagrange immersions and unfolding of singularities
    • Duistermaat, J. (1974): Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities. Comm. Pure Appl. Math., vol. 27, pp. 207-281.
    • (1974) Comm. Pure Appl. Math. , vol.27 , pp. 207-281
    • Duistermaat, J.1
  • 17
    • 0000647149 scopus 로고
    • Numerical resolution of the high frequency asymptotic expansion of the scalar wave equation
    • Engquist, B.; Fatemi, E.; Osher, S. (1995): Numerical Resolution of the High Frequency Asymptotic Expansion of the Scalar Wave Equation. J. Comput. Phys., vol. 120, pp. 145-155.
    • (1995) J. Comput. Phys. , vol.120 , pp. 145-155
    • Engquist, B.1    Fatemi, E.2    Osher, S.3
  • 18
    • 0003656689 scopus 로고
    • Multi-phase computation in geometrical optics
    • Engquist, B.; Runborg, O. (1995): Multi-Phase Computation in Geometrical Optics. Tech Report, Nada KTH, 1995.
    • (1995) Tech Report, Nada KTH , pp. 1995
    • Engquist, B.1    Runborg, O.2
  • 19
    • 0037141033 scopus 로고    scopus 로고
    • High frequency wave propagation by the segment projection method
    • Engquist, B.; Runborg, O.; Tornberg, A.-K. (2002): High Frequency Wave Propagation by the Segment Projection Method. J. Comput. Phys., vol. 178, no. 2, pp. 373-390.
    • (2002) J. Comput. Phys. , vol.178 , Issue.2 , pp. 373-390
    • Engquist, B.1    Runborg, O.2    Tornberg, A.-K.3
  • 20
    • 0009939311 scopus 로고    scopus 로고
    • Fast phase space computation of multiple arrivals
    • LBL, 2001
    • Fomel, S.; Sethian, J. (2001): Fast Phase Space Computation of Multiple Arrivals. Technical Report LBNL-48976, LBL, 2001.
    • (2001) Technical Report , vol.LBNL-48976
    • Fomel, S.1    Sethian, J.2
  • 21
    • 84971170277 scopus 로고
    • The theory of legendrian unfoldings and first order differential equations
    • Izumiya, S. (1993): The Theory of Legendrian Unfoldings and First Order Differential Equations. Proc. Royal Soc. Edinburgh, vol. 123A, pp. 517-532.
    • (1993) Proc. Royal Soc. Edinburgh , vol.123 A , pp. 517-532
    • Izumiya, S.1
  • 22
    • 0034503787 scopus 로고    scopus 로고
    • Weighted ENO schemes for hamilton jacobi equations
    • Jiang, G.; Peng, D. (2000): Weighted ENO Schemes for Hamilton Jacobi Equations. SIAM J. Scient. Comput., vol. 21, no. 6, pp. 2126-2143.
    • (2000) SIAM J. Scient. Comput. , vol.21 , Issue.6 , pp. 2126-2143
    • Jiang, G.1    Peng, D.2
  • 23
    • 84972538741 scopus 로고
    • Asymptotic solutions of oscillatory initial value problems
    • Lax, P. D. (1957): Asymptotic solutions of oscillatory initial value problems. Duke Math. J., vol. 24, pp. 627-646.
    • (1957) Duke Math. J. , vol.24 , pp. 627-646
    • Lax, P.D.1
  • 24
    • 0023381475 scopus 로고
    • Marching cubes: A high resolution 3D surface reconstruction algorithm
    • Lorenson, W.; Cline, H. (1987): Marching cubes: A high resolution 3D surface reconstruction algorithm. Comp. Graphics, vol. 21, no. 4, pp. 163-169.
    • (1987) Comp. Graphics , vol.21 , Issue.4 , pp. 163-169
    • Lorenson, W.1    Cline, H.2
  • 25
    • 0036647932 scopus 로고    scopus 로고
    • Geometric optics in a phase space based level set and eulerian framework
    • Osher, S.; Cheng, L.-T.; Kang, M.; Shim, H.; Tsai, Y.-H. (2002): Geometric Optics in a Phase Space Based Level Set and Eulerian Framework. J. Comput. Phys., vol. 179, no. 2, pp. 622-648.
    • (2002) J. Comput. Phys. , vol.179 , Issue.2 , pp. 622-648
    • Osher, S.1    Cheng, L.-T.2    Kang, M.3    Shim, H.4    Tsai, Y.-H.5
  • 26
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on hamilton-jacobi formulations
    • Osher, S.; Sethian, J. (1988): Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations. J. Comput. Phys., vol. 169, no. 1, pp. 12-49.
    • (1988) J. Comput. Phys. , vol.169 , Issue.1 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 27
    • 0001167356 scopus 로고    scopus 로고
    • A PDE-based fast local level set method
    • Peng, D.; Merriman, B.; Osher, S.; Zhao, H.; Kang, M. (1999): A PDE-Based Fast Local Level Set Method. J. Comput. Phys., vol. 155, no. 2, pp. 410-438.
    • (1999) J. Comput. Phys. , vol.155 , Issue.2 , pp. 410-438
    • Peng, D.1    Merriman, B.2    Osher, S.3    Zhao, H.4    Kang, M.5
  • 28
    • 0037379052 scopus 로고    scopus 로고
    • A level set based eulerian approach for anisotropic wave propagations
    • Qian, J.; Cheng, L.-T.; Osher, S. (2003): A Level Set Based Eulerian Approach for Anisotropic Wave Propagations. Wave Motion, vol. 37, no. 4, pp. 365-379.
    • (2003) Wave Motion , vol.37 , Issue.4 , pp. 365-379
    • Qian, J.1    Cheng, L.-T.2    Osher, S.3
  • 29
    • 0001807064 scopus 로고    scopus 로고
    • Fixed grid method for capturing the motion of self-intersecting interfaces and related PDEs
    • Ruuth, S.; Merriman, B.; Osher, S. (2000): Fixed Grid Method for Capturing the Motion of Self-Intersecting Interfaces and Related PDEs. J. Comput. Phys., vol. 163, pp. 1-21.
    • (2000) J. Comput. Phys. , vol.163 , pp. 1-21
    • Ruuth, S.1    Merriman, B.2    Osher, S.3
  • 30
    • 45449125925 scopus 로고
    • Efficient implementation of essentially nonoscillatory shock-capturing schemes
    • Shu, C.-W.; Osher, S. (1988): Efficient Implementation of Essentially Nonoscillatory Shock-Capturing Schemes. J. Comput. Phys., vol. 77, no. 2, pp. 439-471.
    • (1988) J. Comput. Phys. , vol.77 , Issue.2 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 31
    • 0001118530 scopus 로고    scopus 로고
    • A new class of optimal high-order strong-stability-preserving time discretization methods
    • Spiteri, R.; Ruuth, S. (2002): A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods. SIAM J. Numer. Anal., vol. 40, no. 2, pp. 469-491.
    • (2002) SIAM J. Numer. Anal. , vol.40 , Issue.2 , pp. 469-491
    • Spiteri, R.1    Ruuth, S.2
  • 32
    • 0034687913 scopus 로고    scopus 로고
    • A New Eulerian Method for the Computation of Propagating Short Acoustic and Electromagnetic Pulses
    • Steinhoff, J.; Fan, M.; Wang, L. (2000): A New Eulerian Method for the Computation of Propagating Short Acoustic and Electromagnetic Pulses. J. Comput. Phys., vol. 157, no. 2, pp. 683-706.
    • (2000) J. Comput. Phys. , vol.157 , Issue.2 , pp. 683-706
    • Steinhoff, J.1    Fan, M.2    Wang, L.3
  • 33
    • 0004027044 scopus 로고    scopus 로고
    • A slowness matching finite difference method for traveltimes beyond transmission caustics
    • Rice University, 1996
    • Symes, W. (1996): A Slowness Matching Finite Difference Method for Traveltimes Beyond Transmission Caustics. The Rice Inversion Project Annual Report, Rice University, 1996.
    • (1996) The Rice Inversion Project Annual Report
    • Symes, W.1
  • 34
    • 0025919892 scopus 로고
    • Velocity inversion by differential semblance optimization
    • Symes, W.; Carazzone, J. (1991): Velocity Inversion by Differential Semblance Optimization. Geophysics, vol. 56, pp. 654-663.
    • (1991) Geophysics , vol.56 , pp. 654-663
    • Symes, W.1    Carazzone, J.2
  • 35
    • 0030237137 scopus 로고    scopus 로고
    • Estimation of multivalued arrivals in 3d models using wavefront construction-part I
    • Vinje, V.; Iversen, E.; Astebol, K.; ystdal, H. G. (1996): Estimation of Multivalued Arrivals in 3D Models using Wavefront Construction-Part I. Geophysical Prospecting, vol. 44, pp. 819-842.
    • (1996) Geophysical Prospecting , vol.44 , pp. 819-842
    • Vinje, V.1    Iversen, E.2    Astebol, K.3    Ystdal, H.G.4
  • 37
    • 0027790423 scopus 로고
    • Traveltime and amplitude estimation using wavefront construction
    • Vinje, V.; Iversen, E.; ystdal, H. G. (1993): Traveltime and Amplitude Estimation using Wavefront Construction. Geophysics, vol. 58, no. 8, pp. 1157-1166.
    • (1993) Geophysics , vol.58 , Issue.8 , pp. 1157-1166
    • Vinje, V.1    Iversen, E.2    Ystdal, H.G.3


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