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math.OC2014
Lagrange duality for the Morozov principle
Xavier Bonnefond, Pierre Maréchal
Considering a general linear ill-posed equation, we explore the duality arising from the requirement that the discrepancy should take a given value based on the estimation of the n…
math.OC2014
Tomography by Fourier synthesis
Pierre Maréchal, Abdelhadi Elasmai
We consider a particular approach to the regularization of the inverse problem of computerized tomography. This approach is based on notions pertaining to Fourier synthesis. It ref…