Manjappa Rakesh, Makki S Sharath, Kumar Rajesh, Kanhirodan Rajan
Department of Physics, Indian Institute of Science, Bangalore 560012, India.
Radiological Physics and Advisory Division, BARC, Mumbai 400094, India.
Med Phys. 2015 Feb;42(2):750-9. doi: 10.1118/1.4905043.
Proposing an image reconstruction technique, algebraic reconstruction technique-refraction correction (ART-rc). The proposed method takes care of refractive index mismatches present in gel dosimeter scanner at the boundary, and also corrects for the interior ray refraction. Polymer gel dosimeters with high dose regions have higher refractive index and optical density compared to the background medium, these changes in refractive index at high dose results in interior ray bending.
The inclusion of the effects of refraction is an important step in reconstruction of optical density in gel dosimeters. The proposed ray tracing algorithm models the interior multiple refraction at the inhomogeneities. Jacob's ray tracing algorithm has been modified to calculate the pathlengths of the ray that traverses through the higher dose regions. The algorithm computes the length of the ray in each pixel along its path and is used as the weight matrix. Algebraic reconstruction technique and pixel based reconstruction algorithms are used for solving the reconstruction problem. The proposed method is tested with numerical phantoms for various noise levels. The experimental dosimetric results are also presented.
The results show that the proposed scheme ART-rc is able to reconstruct optical density inside the dosimeter better than the results obtained using filtered backprojection and conventional algebraic reconstruction approaches. The quantitative improvement using ART-rc is evaluated using gamma-index. The refraction errors due to regions of different refractive indices are discussed. The effects of modeling of interior refraction in the dose region are presented.
The errors propagated due to multiple refraction effects have been modeled and the improvements in reconstruction using proposed model is presented. The refractive index of the dosimeter has a mismatch with the surrounding medium (for dry air or water scanning). The algorithm reconstructs the dose profiles by estimating refractive indices of multiple inhomogeneities having different refractive indices and optical densities embedded in the dosimeter. This is achieved by tracking the path of the ray that traverses through the dosimeter. Extensive simulation studies have been carried out and results are found to be matching that of experimental results.
提出一种图像重建技术,即代数重建技术 - 折射校正(ART - rc)。所提出的方法考虑了凝胶剂量计扫描仪边界处存在的折射率不匹配问题,同时还校正了内部光线折射。与背景介质相比,具有高剂量区域的聚合物凝胶剂量计具有更高的折射率和光密度,高剂量下折射率的这些变化会导致内部光线弯曲。
纳入折射效应是凝胶剂量计光密度重建中的重要一步。所提出的光线追踪算法对不均匀性处的内部多次折射进行建模。已对雅各布光线追踪算法进行修改,以计算穿过高剂量区域的光线的光程长度。该算法计算光线在其路径上每个像素中的长度,并用作权重矩阵。代数重建技术和基于像素的重建算法用于解决重建问题。所提出的方法针对各种噪声水平用数值体模进行了测试。还给出了实验剂量学结果。
结果表明,所提出的ART - rc方案能够比使用滤波反投影和传统代数重建方法获得的结果更好地重建剂量计内部的光密度。使用伽马指数评估了ART - rc带来的定量改进。讨论了由于不同折射率区域导致的折射误差。呈现了剂量区域内内部折射建模的效果。
对因多次折射效应传播的误差进行了建模,并展示了使用所提出模型在重建方面的改进。剂量计的折射率与周围介质(用于干式空气或水扫描)不匹配。该算法通过估计嵌入剂量计中的具有不同折射率和光密度的多个不均匀性的折射率来重建剂量分布。这是通过跟踪穿过剂量计的光线路径来实现的。已经进行了广泛的模拟研究,发现结果与实验结果相符。