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• W2783854322 abstract "Optimal transport problems pose many challenges when considering their numerical treatment. We investigate the solution of a PDE-constrained optimisation problem subject to a particular transport equation arising from the modelling of image metamorphosis. We present the nonlinear optimisation problem, and discuss the discretisation and treatment of the nonlinearity via a Gauss--Newton scheme. We then derive preconditioners that can be used to solve the linear systems at the heart of the (Gauss--)Newton method. With the optical flow in mind, we further propose the reduction of dimensionality by choosing a radial basis function discretisation that uses the centres of superpixels as the collocation points. Again, we derive suitable preconditioners that can be used for this formulation." @default.
• W2783854322 created "2018-01-26" @default.
• W2783854322 creator A5047097488 @default.
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• W2783854322 date "2018-01-12" @default.
• W2783854322 modified "2023-09-27" @default.
• W2783854322 title "Fast iterative solvers for an optimal transport problem" @default.
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• W2783854322 hasPublicationYear "2018" @default.
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