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A direct method for the solution of an optimal control problem arising from image registration

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  • In the present paper, the the elastic/hyperelastic image registration problem is treated as a multidimensional control problem of Dieudonné-Rashevsky type. For its numerical solution, we describe a direct method based on discretization methods and large-scale optimization techniques. Selected numerical results will be presented and discussed. The quality of the results obtained with the optimal control method competes well with those generated from a standard variational method.
    Mathematics Subject Classification: Primary: 49J20, 68U10, 74B05, 74B20; Secondary: 26B25, 49M37.

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