一种基于最大后验概率与图像局部统计量的磁共振图像去噪模型

A Variational Model Based on Maximum Posterior Probability for Restoration of MR Images Corrupted by Rician Noise

提出一种基于最大后验概率与图像局部统计量的磁共振图像去噪模型.该模型针对射频场所引起的磁共振图像灰度值不均匀问题,将在Rician噪声模型下的最大后验估计与全变差正则化模型相结合,在模型中引入了瞬时变化系数.根据Euler-Lagrange方程,给出了模型的解及方程解的离散形式.数值实验验证了所提算法的有效性.

We proposed a variational model to restore images degraded by Rician noise.This model was established by considering total variation regularization with a fidelity term involving the Rician probability distribution and instaneous variation coefficient.The quantitative and the qualitative measures used as the quality metrics demonstrate the ability of the proposed method for noise suppression.