Absorption and phase retrieval in phase contrast imaging with non linear Tikhonov regularization

B. Sixou (1) , V. Davidoiu (1) , M. Langer (1, 2) , F. Peyrin (1, 2)

1 Imagerie Tomographique et Radiothérapie
2 ESRF - European Synchrotron Radiation Facility

The X-ray phase contrast imaging technique relies on the measurement of the Fresnel diffraction intensity patterns associated to a phase shift induced by the object. The simultaneous recovery of the phase and of the absorption is an ill-posed non linear inverse problem. In this work, we investigate the resolution of this problem with non linear Tikhonov regularization and with the Iterative Gauss Newton method. The algorithm is evalutated using simulated noisy data.

Domaines: Traitement du signal et de l'image [eess.SP]

B. Sixou, V. Davidoiu, M. Langer, F. Peyrin. Absorption and phase retrieval in phase contrast imaging with non linear Tikhonov regularization. 2nd International Workshop on New Computational Methods for Inverse Problems, May 2012, Paris, France. pp.012012, ⟨10.1088/1742-6596/386/1/012012⟩. ⟨hal-00830487⟩