Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics
Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics
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DOI：
10.1137/18m1231341
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
Kui Ren;Sarah Vall'elian
中科院分区：
文献类型：
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作者：
Kui Ren;Sarah Vall'elian
这项工作是关于定量光声成像（PAT），最近的混合成像模式，利用光声效应，实现高分辨率成像的光学性质的组织类异质介质的图像重建的不确定性量化问题。我们量化数学和计算的影响，在各种模型参数的PAT重建的光学性能的准确性的不确定性。我们推导出，通过灵敏度分析，在一些简化的设置中的图像重建误差的分析界限，并开发了一个计算程序，基于多项式混沌扩展的方法，在更一般的设置中，这种错误的表征。基于合成数据的数值模拟来说明的主要思想。
This work is concerned with uncertainty quantification problems for image reconstructions in quantitative photoacoustic imaging (PAT), a recent hybrid imaging modality that utilizes the photoacoustic effect to achieve high-resolution imaging of optical properties of tissue-like heterogeneous media. We quantify mathematically and computationally the impact of uncertainties in various model parameters of PAT on the accuracy of reconstructed optical properties. We derive, via sensitivity analysis, analytical bounds on error in image reconstructions in some simplified settings, and develop a computational procedure, based on the method of polynomial chaos expansion, for such error characterization in more general settings. Numerical simulations based on synthetic data are presented to illustrate the main ideas.