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Seismic signals are typically compared using travel time difference or $L_2$ difference.
On the optimal mapping of distributions
M. Knott and C. S. Smith · 1984
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Inversion of seismic reflection data in the acoustic approximation
A. Tarantola · 1984
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Polar factorization and monotone rearrangement of vector-valued functions
Y. Brenier · 1991
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Generalised Lagrangian solutions for atmospheric and oceanic flows
M. J. P. Cullen, J. Norbury, and R. J. Purser · 1991
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Auction algorithms for network flow problems: a tutorial introduction
D. P. Bertsekas · 1992
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Seismic waveform inversion in the frequency domain, part 1: Theory and verification in a physical scale model
R. G. Pratt · 1999
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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
J.-D. Benamou and Y. Brenier · 2000
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A reconstruction of the initial conditions of the universe by optimal mass transportation
U. Frisch, S. Matarrese, R. Mohayaee, and A. Sobolevski · 2002
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Optical design of single reflector systems and the Monge-Kantorovich mass transfer problem
T. Glimm and V. Oliker · 2003
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Topics in optimal transportation
C. Villani · 2003
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Optimal mass transport for registration and warping
S. Haker, L. Zhu, A. Tannenbaum, and S. Angenent · 2004
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Moving mesh generation using the parabolic Monge-Ampère equation
Numerical approximation of optimal transport maps
D. Bosc · 2010
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A correlation-based misfit criterion for wave-equation traveltime tomography
T. Van Leeuwen and W. A. Mulder · 2010
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Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampère equation in dimensions two and higher
B. D. Froese and A. M. Oberman · 2011
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A numerical method for the elliptic Monge-Ampère equation with transport boundary conditions
B. D. Froese · 2012
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Numerical solution of the optimal transportation problem using the Monge-Ampère equation
J.-D. Benamou, B. D. Froese, and A. M. Oberman · 2013
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Convergent filtered schemes for the Monge-Ampère partial differential equation
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C. J. Budd and J. F. Williams · 2009
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B. D. Froese and A. M. Oberman · 2013
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