Inversion-based imaging using lagrange polynomial parameterization and genetic algorithm optimization

A fast crack profile reconstitution method is developed using eddy current probing scheme. The technique employed genetic algorithm (GA) optimization together with boundary element method (BEM) to evaluate the shape of the cracks that are described by using the Lagrange polynomial (LP). In doing so, the shape of the open cracks could be obtained. Compared to the pixel-based description of the cracks, the LP description could significantly reduce the number of the unknowns, and this increases the efficiency of the global searching by the GA. This technique has greatly improved the efficiency of the inversion solver. Numerical tests are shown to validate the interests.