针对常规透射声波层析成像重建算法,在射线稀疏情况下分辨率低以及多解性强等问题,该文提出了一种新的模型描述方法,使待反演的模型描述参数少又能精细描述模型,从而降低了多解性,增强了成像结果的可信性,同时又能保证一定的成像分辨率。为了保证反演的稳定性,该文又提出了相空间的射线追踪方法。试算表明该方法是有效的。 Aiming at the problems of conventional transonic sonography tomography reconstruction algorithms, low resolution and strong multi-solution in the case of sparse rays, a new model description method is proposed in this paper, which can make the description parameters of the model to be inverted small and describe the model , Thereby reducing the multiplicity of solutions and enhancing the reliability of the imaging results, while ensuring a certain imaging resolution. In order to ensure the stability of inversion, this paper also proposed ray tracing method in phase space. Trial calculations show that the method is effective.