Reconstruction of interacting cracks in conductive materials by a communications theory approach

摘要

Aim of this paper is to present an efficient approach to minimize the objective function arising in Eddy Current Testing in a discrete space. The functional depends upon the parameters describing position and shape of defect and is defined as the distance between the measured and the theoretically predicted field values. The approach is based on the striking analogies between the cracks retrieval and digital communications over noisy channel. Its strength is related to the possibility of getting the global minimum of the objective functional, leading in addition to an effective treatment of the case of large and/or interacting cracks. Moreover, the computational cost of the minimization grows linearly with the total number of unknowns and exponentially with the number of unknowns affecting a single measurement.