Compressed sensing photoacoustic tomography using Stagewise Weak OMP algorithm based on k-wave: a simulation study

Zihao Li, Aojie Zhao, Hongyu Zhang, Xianlin Song
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Abstract

Photoacoustic tomography technology is a new non-invasive, non-ionizing biomedical imaging method. This technology combines the high contrast of optical imaging and the high-resolution characteristics of ultrasound imaging, which can obtain high-resolution images in deeper tissues. In recent years, it has developed rapidly and won widespread attention. Traditional sampling method must follow the Nyquist sampling theorem, which wastes a lot of sensing time and storage space. In order to improve the sampling efficiency, compressed sensing (CS) theory is used to collect and process photoacoustic data. The advantage of CS theory is that it can combine data acquisition and data compression. So that only the sparse features of the original signal need to be collected, and a high-quality original target image can be successfully reconstructed with very few samples, which greatly reduces data redundancy. More than that, the requirements for equipment are reduced. This paper uses MATLAB's k-wave simulation toolbox to establish a virtual photoacoustic field, collect the photoacoustic signals of biological tissues, and reconstruct the image through the segmented weak orthogonal matching pursuit (StOMP) algorithm. The results show that the MATLAB virtual compressed sensing photoacoustic tomography simulation platform based on k-wave can realize high-quality photoacoustic tomography with less data. The superiority of the compressed sensing theory and the efficiency of the k-wave virtual platform are verified.
基于k波的逐级弱OMP算法压缩感知光声层析成像的仿真研究
光声断层成像技术是一种新型的无创、非电离的生物医学成像技术。该技术结合了光学成像的高对比度和超声成像的高分辨率特点,可以获得更深层组织的高分辨率图像。近年来,它发展迅速,赢得了广泛的关注。传统的采样方法必须遵循奈奎斯特采样定理,浪费了大量的传感时间和存储空间。为了提高采样效率,采用压缩感知理论对光声数据进行采集和处理。CS理论的优点是可以将数据采集和数据压缩结合起来。这样只需要采集原始信号的稀疏特征,就可以用很少的样本成功重构出高质量的原始目标图像,大大降低了数据冗余。不仅如此,对设备的需求也减少了。本文利用MATLAB的k波仿真工具箱建立虚拟光声场,采集生物组织的光声信号,通过分段弱正交匹配追踪(StOMP)算法重构图像。结果表明,基于k波的MATLAB虚拟压缩感知光声层析成像仿真平台能够以较少的数据量实现高质量的光声层析成像。验证了压缩感知理论的优越性和k波虚拟平台的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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