Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 32, Issue 1, Pages 197-211Publisher
SIAM PUBLICATIONS
DOI: 10.1137/080730238
Keywords
optimal mass transport; sequential quadratic programming; variational formulation
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Funding
- NCRR NIH HHS [P41 RR013218-11, P41 RR013218] Funding Source: Medline
- NIBIB NIH HHS [P41 EB015902, U54 EB005149, U54 EB005149-050003, U54 EB005149-05S30003] Funding Source: Medline
- NATIONAL CENTER FOR RESEARCH RESOURCES [P41RR013218] Funding Source: NIH RePORTER
- NATIONAL INSTITUTE OF BIOMEDICAL IMAGING AND BIOENGINEERING [U54EB005149, P41EB015902] Funding Source: NIH RePORTER
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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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