Efficient shape reconstruction of non-circular tubes using broadband acoustic measurements

Abstract

International audienceWe propose an algorithm for reconstructing the boundaries of a non-circular cylindrical tube from broadband acoustic measurements. This algorithm is based on the minimization of a cost function, which is the average over frequency of the absolute difference between the estimated and the measured scattered field. The estimated field is computed efficiently (very fast) using ICBA, an analytic method that provides an approximate solution of the forward problem. Numerical results show that our algorithm is robust and provides an accurate reconstruction without any explicit regularization