AN EFFICIENT NUMERICAL METHOD FOR THE SOLUTION OF THE L(2) OPTIMAL MASS TRANSFER PROBLEM.

AN EFFICIENT NUMERICAL METHOD FOR THE SOLUTION OF THE L(2) OPTIMAL MASS TRANSFER PROBLEM.
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DOI:
10.1137/080730238
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发表时间:
2010
期刊:
SIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics
影响因子:
--
通讯作者:
Tannenbaum A
Tannenbaum A
中科院分区:
其他
文献类型:
--
作者:
Haber E;Rehman T;Tannenbaum A

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在本文中,我们提出了一个新的计算效率高的数值方案的最小流方法的最佳L2质量输运映射的计算。与[S. Angenent,S. Haker和A. Tannenbaum,SIAM J. Math. Anal.,35(2003),pp. 61-97],我们在本工作中采用直接变分法。该方法的有效性证明了对真实的和合成数据。
In this paper we present a new computationally efficient numerical scheme for the minimizing flow approach for the computation of the optimal L2 mass transport mapping. In contrast to the integration of a time dependent partial differential equation proposed in [S. Angenent, S. Haker, and A. Tannenbaum, SIAM J. Math. Anal., 35 (2003), pp. 61–97], we employ in the present work a direct variational method. The efficacy of the approach is demonstrated on both real and synthetic data.
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