title: Reduction of Beam-Hardening Artifacts in X-Ray CT.
abstract: Our goal is to decrease the importance of beam- hardening artifacts in X-ray computed tomography by address- ing the polyenergetic nature of the X-ray source. We use the same physical model as De Man and al [1]. We next adopt an estimation framework for the reconstruction: the attenuation coefficients are determined by a likelihood-based estimator. This approach leads to minimization of an objective function which exhibits a complex structure. Nonetheless, we develop a numerical procedure with satisfactory numerical efficiency : we use a nonlinear conjugate gradient method. The three major contributions of this communication are : the positivity of the solution ensured by a change of variables, the convergence properties of the algorithm, and a satisfying computation time.
authors.affiliation: Ecole Polytechnique, C.P.6079, succ. Centre-ville, Montréal (QC), H3C 3A7, Canada Nathalie.Menvielle@polymtl.ca.
authors.forename: Nathalie
authors.initials: N
authors.lastname: Menvielle
authors.forename: Yves
authors.initials: Y
authors.lastname: Goussard
authors.forename: Dominique
authors.initials: D
authors.lastname: Orban
authors.forename: Gilles
authors.initials: G
authors.lastname: Soulez