【摘要】 将指数全变分引入计算机断层成像重建模型中，建立能够在能量较低时进行灰度变换以适当地抑制阶梯效应且能在能量较高时避免出现过平滑的改进指数全变分重建模型(Modified Exponential Total Variation, METV)，并利用变分方法证明该改进模型对应的最小化问题的解的存在性。通过实验验证了，在添加了不同强度的混合噪声的情况下，相对于TV模型和ETV模型，METV重建模型都能够得到非常接近真实图像的重建图像，且得到的图像边缘结构更加清晰。更多还原

【Abstract】 In this paper, exponential total variational reconstruction model is introduced into computed tomography reconstruction model to establish an improved exponential total variational reconstruction model(METV) which can perform gray transformation at low energy to properly suppress the step effect and avoid over-smoothing at high energy. The existence of the solution of the minimization problem corresponding to the improved model is proved by variational method. It is also verified by experiments that under the condition of adding mixed noise of different intensity, compared with TV and ETV models, the reconstructed image of METV model can be very close to the real image, and the obtained image edge structure is clearer.更多还原