A simulation study on photon-counting denoising based on subspace decomposition

Junru Ren, Ailong Cai, Ningning Liang, Yizhong Wang, Xinrui Zhang, Lei Li, Bin Yan
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Abstract

Photon counting detector (PCD) is a hot topic at present. Compared with traditional energy integral detector, it has the potential of high spatial resolution, high sensitivity and low dose, which can effectively promote medical imaging diagnosis. However, when PCD is counting X-ray photons, the photon number of each energy bin is relatively small. Additionally, charge-sharing response and pulse superposition effect will also affect the photon count rate, resulting in serious noise and affecting the imaging quality. In this paper, a photon-counting denoising algorithm based on subspace decomposition is proposed. According to the similarity between the data of different bins and the self-similarity of the data, this paper constructs sparse representation by subspace decomposition method and uses block matching algorithm to suppress noise. In simulation experiments, we carried out spectral computed tomography imaging experiments with the three-dimensional phantom of a digital mice based on PCD, and denoised the data by different algorithms. The quantitative results show that our method improves peak signal-to-noise ratio by 2.21dB compared with block-matching and 3D filtering when photon flux is 4×103 , which verifies the potential of the proposed algorithm in medical imaging.
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基于子空间分解的光子计数去噪仿真研究
光子计数探测器(PCD)是目前研究的热点。与传统能量积分检测仪相比,具有高空间分辨率、高灵敏度和低剂量的潜力,可有效促进医学影像诊断。然而,当PCD对x射线光子进行计数时,每个能量仓的光子数相对较少。此外,电荷共享响应和脉冲叠加效应也会影响光子计数率,产生严重的噪声,影响成像质量。提出了一种基于子空间分解的光子计数去噪算法。根据不同箱体数据之间的相似性和数据的自相似性,采用子空间分解方法构建稀疏表示,并采用块匹配算法抑制噪声。在模拟实验中,我们对基于PCD的数字小鼠三维幻像进行了光谱计算机断层成像实验,并采用不同的算法对数据进行去噪。定量结果表明,当光子通量为4×103时,与块匹配和三维滤波相比,该方法的峰值信噪比提高了2.21dB,验证了该算法在医学成像中的应用潜力。
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