Combined multi-scale mesh and full-matrix inversion for enhancing time-domain breast diffuse optical tomography
Combined multi-scale mesh and full-matrix inversion for enhancing time-domain breast diffuse optical tomography
复制标题
结合多尺度网格和全矩阵反演增强时域乳腺漫射光学断层扫描
DOI：
10.1364/ao.457254
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发表时间：
2022
期刊：
影响因子：
1.9
通讯作者：
Feng Gao
中科院分区：
文献类型：
--
作者：
Ma Yiwen;Limin Zhang;Mengyu Jia;Pengfei Zhang;Feng Gao
时域漫射光学层析成像可以有效地重建吸收系数和减少的散射系数，但受到其逆问题的不适定性和低空间分辨率的严重限制。为了应对这些逆境，基于截断奇异值分解（TSVD）的整体加权矩阵求逆方案可能是特别合适的实现。不幸的是，TSVD 在对大块区域（例如乳房）进行三维成像时面临着存储挑战。本文采用基于计算机断层扫描（CT）解剖几何的多尺度网格策略来解决存储挑战，其中在正演计算中使用细网格以确保精度，在反演过程中使用粗网格以实现基于TSVD的整体权重矩阵的反演。我们使用来自乳腺癌患者临床正电子发射断层扫描图像的单个病灶模型的模拟数据验证了所提出的策略，并进一步验证了通过在 CT 乳腺几何形状中的不同间隔处设置双病灶构建的复杂模型。
Time-domain diffuse optical tomography can efficiently reconstruct both absorption and reduced scattering coefficients but is heavily limited by the ill-posedness in its inverse problem and low spatial resolution. To deal with these adversities, the truncated singular value decomposition (TSVD)-based whole-weighting-matrix inversion scheme can be a particularly suitable implementation. Unfortunately, TSVD is subject to a storage challenge for three-dimensional imaging of a bulk region, such as breast. In this paper, a multi-scale mesh strategy based on computed tomography (CT) anatomical geometry is adopted to solve the storage challenge, where a fine mesh is used in forward calculation to ensure accuracy, and a coarse mesh in the inversion process to enable TSVD-based inversion of the whole-weighting matrix. We validate the proposed strategy using simulated data for a single lesion model from clinical positron emission tomography images of a breast cancer patient, and further, for a complex model that is constructed by setting dual lesions at different separations in the CT breast geometry.