Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography
We study operator equations Af = g for operators between Hilbert spaces X and Y. Both the cases of linear operators A and of nonlinear A with a special structure are treated. Approximate inverse means a solution operator which maps the data g to a stable approximation of the solution of the ill — posed problem Af = g. This inversion operator is precomputed without using the data g, see .
KeywordsRegularization Method Helmholtz Equation Smooth Particle Hydrodynamic Approximate Inverse Reconstruction Kernel
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