论文标题

贝叶斯的限量次数逆声散射和总变化的方法

Bayesian approach for limited-aperture inverse acoustic scattering with total variation prior

论文作者

Yang, Xiao-Mei, Deng, Zhi-Liang, Qian, Ailin

论文摘要

在这项工作中,我们将贝叶斯方法应用于声学散射问题,以使用有限孔径的远场测量数据来重建声音柔软障碍物的形状。新的总变化先验分配给形状参数化形式。此先验施加在障碍物的参数化形式的傅立叶系数上。提供了广泛的数值测试来说明数值性能。

In this work, we apply the Bayesian approach for the acoustic scattering problem to reconstruct the shape of a sound-soft obstacle using the limited-aperture far-field measure data. A novel total variation prior is assigned to the shape parameterization form. This prior is imposed on the Fourier coefficients of the parameterized form of the obstacle. Extensive numerical tests are provided to illustrate the numerical performance.

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