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    An efficient numerical method for the solution of the L₂optimal mass transfer problem

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    2010SIAM_001.pdf (2.724Mb)
    Date
    2010-02-05
    Author
    Haber, Eldad
    Rehman, Tauseef ur
    Tannenbaum, Allen R.
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    Abstract
    In this paper we present a new computationally efficient numerical scheme for the minimizing flow approach for the computation of the optimal L₂mass 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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    http://hdl.handle.net/1853/33725
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    • Biomedical Imaging Lab (Minerva Research Group) [210]

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