Sparse sampling photoacoustic reconstruction with group sparse dictionary learning

Zhimin Zhang, Zhaolian Wang, Chenglong Zhang, Xiaoli Yang, Xiaopeng Ma
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Abstract

Photoacoustic tomography often faces problems such as incomplete data and noise, which affect the quality of reconstructed images. Model-based photoacoustic image reconstruction is an ill-posed inverse problem, which usually needs to introduce the regularization term as the prior constraint. In this paper, we propose a novel model-based regularization framework for photoacoustic image reconstruction, which utilizes the group sparsity property of photoacoustic images as prior information and combines total variation regularization to effectively suppress image artifacts and recover the missing signal data during sparse sampling. Numerical simulation results show that the proposed algorithm not only improves the accuracy of photoacoustic reconstruction under sparse sampling but also improves the calculation speed.
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基于群稀疏字典学习的稀疏采样光声重构
光声层析成像经常面临数据不完整和噪声等问题,影响重建图像的质量。基于模型的光声图像重构是一个病态逆问题,通常需要引入正则化项作为先验约束。本文提出了一种基于模型的光声图像重构正则化框架,该框架利用光声图像的群稀疏性作为先验信息,结合全变分正则化,有效地抑制了图像伪影,恢复了稀疏采样过程中缺失的信号数据。数值模拟结果表明,该算法不仅提高了稀疏采样下光声重构的精度,而且提高了计算速度。
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