@article{Tang2024, 
author = {Bowen Tang and Xiaoying Yang and Lin Su},
title = {Shape reconstruction of acoustic obstacle with linear sampling method and neural network},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {13607-13623},
keywords = {inverse acoustic scattering problems, linear sampling method, neural network, shape reconstruction of obstacles},
url = {https://www.sciopen.com/article/10.3934/math.2024664},
doi = {10.3934/math.2024664},
abstract = {We consider the inverse scattering problem of reconstructing the boundary of an obstacle by using far-field data. With the plane wave as the incident wave, a priori information of the impenetrable obstacle can be obtained via the linear sampling method. We have constructed the shape parameter inversion model based on a neural network to reconstruct the obstacle. Numerical experimental results demonstrate that the model proposed in this paper is robust and performs well with a small number of observation directions.}
}