  In this paper, we tackle the direct and inverse problems for the Remote-Field
Eddy-Current (RFEC) technology. The direct problem is the sensor model, where
given the geometry the measurements are obtained. Conversely, the inverse
problem is where the geometry needs to be estimated given the field
measurements. These problems are particularly important in the field of
Non-Destructive Testing (NDT) because they allow assessing the quality of the
structure monitored. We solve the direct problem in a parametric fashion using
Least Absolute Shrinkage and Selection Operation (LASSO). The proposed inverse
model uses the parameters from the direct model to recover the thickness using
least squares producing the optimal solution given the direct model. This study
is restricted to the 2D axisymmetric scenario. Both, direct and inverse models,
are validated using a Finite Element Analysis (FEA) environment with realistic
pipe profiles.
