An Efficient Numerical Method for the Solution of the L2 Optimal Mass Transfer Problem
نویسندگان
چکیده
In this paper we present a new computationally efficient numerical scheme for the minimizing flow approach for the computation of the optimal L(2) 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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ورودعنوان ژورنال:
- SIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics
دوره 32 1 شماره
صفحات -
تاریخ انتشار 2010