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An ensemble Kalman filter approach based on level set parameterization for acoustic source identification using multiple frequency information
Zhiliang Deng, Xiaomei Yang
The spatial dependent unknown acoustic source is reconstructed according noisy multiple frequency data on a remote closed surface. Assume that the unknown function is supported on…
A parametric Bayesian level set approach for acoustic source identification using multiple frequency information
Zhiliang Deng, Xiaomei Yang, Jiangfeng Huang
The reconstruction of the unknown acoustic source is studied using the noisy multiple frequency data on a remote closed surface. Assume that the unknown source is coded in a spatia…
Bayesian approach for inverse obstacle scattering with Poisson data
Xiaomei Yang, Zhiliang Deng
We consider an acoustic obstacle reconstruction problem with Poisson data. Due to the stochastic nature of the data, we tackle this problem in the framework of Bayesian inversion.…
Limited Aperture Inverse Scattering Problems using Bayesian Approach and Extended Sampling Method
Zhaoxiang Li, Zhiliang Deng, Jiguang Sun
Inverse scattering problems have many important applications. In this paper, given limited aperture data, we propose a Bayesian method for the inverse acoustic scattering to recons…