Medical Image Registration using optimal control of a linear hyperbolic transport equation with a DG discretization

Unnamed Author, Johannes Haubner, Stephan Schmidt, Bastian Zapf

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Inverse problems for PDEs (35R30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Artificial intelligence (68T99) Weak solutions to PDEs (35D30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45) PDEs in connection with control and optimization (35Q93) First-order hyperbolic equations (35L02) PDE constrained optimization (numerical aspects) (49M41) Transport equations (35Q49)

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