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The reconstruction of blood velocity in a vessel from contrast-enhanced X-ray CT projections is a complex inverse problem. In this work, we investigate an inversion approach based on the adjoint method with a partial differential equation as constraint. The proper orthogonal decomposition method is used to accelerate the reconstruction with reduced basis for the velocity, the density and the adjoint method. The effectiveness of the reconstruction method is shown with simulated realistic stationary and non-stationary blood flows in a vessel.

POD method for acceleration of blood flow reconstruction in a vessel with contrast enhanced X-ray CT