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arXiv 2505.08482physics.med-phphysics.comp-ph

光声断层成像中初始压力和声速分布的同时重建

Reconstructing initial pressure and speed of sound distributions simultaneously in photoacoustic tomography

Miika Suhonen, Felix Lucka, Aki Pulkkinen, Simon Arridge, Ben Cox, Tanja Tarvainen

AI总结:

该研究针对光声断层成像中声速未知导致伪影的问题,提出利用同一目标内不同初始压力分布生成的多个光声数据集,结合基于梯度的迭代方法、边界约束和多重网格方法,同时重建初始压力和声速分布,有效缓解了逆问题的病态性,提升了重建质量和区分能力。

摘要:

光声断层成像中的图像重建依赖于对目标中声速的准确了解。然而,声速分布通常是未知的,这可能导致重建的初始压力分布中出现伪影。因此,在光声断层成像中,将声速与初始压力同时重建对于准确成像是有价值的。此外,声速分布可以提供有关成像目标的额外有价值信息。在本研究中,我们探讨了光声断层成像中初始压力和声速的同时重建。已知该逆问题具有高度病态性。为了克服这一问题,我们研究了一种方法,通过利用在同一成像目标内由不同初始压力分布生成的多个光声数据集来缓解病态性。然后,将这些初始压力分布与声速分布同时重建。我们使用一种基于梯度的迭代方法,结合边界约束和多重网格方法,构建了求解这一最小化问题的方法学。该方法通过数值模拟进行了评估。研究了生成多个初始压力分布的不同方法及其对图像重建问题解的影响。结果表明,初始压力和声速可以从光声数据中同时重建。此外,利用多个初始压力分布改善了重建效果,使得初始压力和声速不均匀性的位置能够更好地区分,并且图像伪影减少。

英文摘要:

Image reconstruction in photoacoustic tomography relies on an accurate knowledge of the speed of sound in the target. However, the speed of sound distribution is not generally known, which may result in artefacts in the reconstructed distribution of initial pressure. Therefore, reconstructing the speed of sound simultaneously with the initial pressure would be valuable for accurate imaging in photoacoustic tomography. Furthermore, the speed of sound distribution could provide additional valuable information about the imaged target. In this work, simultaneous reconstruction of initial pressure and speed of sound in photoacoustic tomography is studied. This inverse problem is known to be highly ill-posed. To overcome this, we study an approach where the ill-posedness is alleviated by utilising multiple photoacoustic data sets that are generated by different initial pressure distributions within the same imaged target. Then, these initial pressure distributions are reconstructed simultaneously with the speed of sound distribution. A methodology for solving this minimisation problem is formulated using a gradient-based iterative approach equipped with bound constraints and a multigrid approach. The methodology was evaluated with numerical simulations. Different approaches for generating multiple initial pressure distributions and their effect on the solution of the image reconstruction problem were studied. The results show that initial pressure and speed of sound can be simultaneously reconstructed from photoacoustic data. Furthermore, utilising multiple initial pressure distributions improves the reconstructions such that the locations of initial pressure and speed of sound inhomogeneities can be better distinguished and image artifacts are reduced.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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