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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Computationally Efficient Forward Operator for Photoacoustic Tomography Based on Coordinate Transformations
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Computationally Efficient Forward Operator for Photoacoustic Tomography Based on Coordinate Transformations

机译：基于坐标变换的光声断层扫描的计算上高效运算符

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摘要

Photoacoustic tomography (PAT) is an imaging modality that utilizes the photoacoustic effect. In PAT, a photoacoustic image is computed from measured data by modeling ultrasound propagation in the imaged domain and solving an inverse problem utilizing a discrete forward operator. However, in realistic measurement geometries with several ultrasound transducers and relatively large imaging volume, an explicit formation and use of the forward operator can be computationally prohibitively expensive. In this work, we propose a transformation-based approach for efficient modeling of photoacoustic signals and reconstruction of photoacoustic images. In the approach, the forward operator is constructed for a reference ultrasound transducer and expanded into a general measurement geometry using transformations that map the formulated forward operator in local coordinates to the global coordinates of the measurement geometry. The inverse problem is solved using a Bayesian framework. The approach is evaluated with numerical simulations and experimental data. The results show that the proposed approach produces accurate 3-D photoacoustic images with a significantly reduced computational cost both in memory requirements and time. In the studied cases, depending on the computational factors, such as discretization, over the 30-fold reduction in memory consumption was achieved without a reduction in image quality compared to a conventional approach.
机译：光声断层扫描（PAT）是一种用于利用光声效果的成像模型。在PAT中，通过在成像域中建模超声波传播并解决利用离散前向操作员来解决光声图像，从而通过测量数据来计算光声图像。然而，在具有多个超声换能器和相对较大的成像体积的现实测量几何形状中，可以计算出明确的形成和使用前进操作者的使用。在这项工作中，我们提出了一种基于转换的方法，用于高效建模的光声信号和光声图像的重构。在该方法中，前向操作员被构造用于参考超声换能器，并使用转换膨胀成一般测量几何形状，该变换将配制的前进操作员映射到局部坐标到测量几何形状的全局坐标。使用贝叶斯框架解决了逆问题。通过数值模拟和实验数据评估该方法。结果表明，该方法在内存要求和时间内产生精确的3-D光声图像，其具有显着降低的计算成本。在所研究的情况下，根据计算因素，例如离散化，在与传统方法相比，在没有图像质量的情况下实现了存储器消耗的30倍。

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