锥束CT的点扩散函数建模与图像恢复
Point spread function modeling and images restoration for cone-beam CT
摘要：
X射线锥束计算机断层成像（CT）具有效率高、精度高等显著特点，在医学成像和工业无损检测领域得到了广泛应用，但CT固有的成像退化降低了图像质量。针对锥束CT投影图像退化与恢复问题，提出了一种点扩散函数（PSF）建模方法。建立了锥束CT的点扩散函数通用模型，在此基础上，可以直接计算任意扫描条件下的点扩散函数，用于投影图像的恢复，无需额外测量，大大提高了锥束CT的应用便利性。其次，提出了一种基于预滤波和预分割的投影图像复原算法，使复原后的投影图像和切片图像的边缘轮廓更加清晰，并将噪声控制在与原始图像相当的水平。最后通过实验验证了所提方法的可行性和有效性。
英文摘要：
X-ray cone-beam computed tomography (CT) has the notable features such as high efficiency and precision, and is widely used in the fields of medical imaging and industrial non-destructive testing, but the inherent imaging degradation reduces the quality of CT images. Aimed at the problems of projection images degradation and restoration in cone-beam CT, a point spread function (PSF) modeling method is proposed firstly. The general PSF model of cone-beam CT is established, and based on it, the PSF under arbitrary scanning conditions can be calculated directly for projection images restoration without the additional measurement, which greatly improved the application convenience of cone-beam CT. Secondly, a projection images restoration algorithm based on pre-filtering and pre-segmentation is proposed, which can make the edge contours in projection images and slice images clearer after restoration, and control the noise in the equivalent level to the original images. Finally, the experiments verified the feasibility and effectiveness of the proposed methods.
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