光电工程, 2010, 37 (5): 116, 网络出版: 2010-09-07
一种高效的图像去噪算法
An Efficient Image Denoising Algorithm
图像去噪 贝叶斯框架 先验模型 调和模型 参数估计 image denoising Bayesian framework prior model harmonic model parameter estimation
摘要
针对图像去噪的速度以及可能出现的阶梯效应等问题进行了研究,提出了一种高效的图像去噪算法。该算法在贝叶斯框架下,首先引入调和模型作为原始图像的先验模型,并用伽马分布作为未知参数的先验分布模型;然后,用变分近似的方法推导最大后验概率;基于此推导过程,同步地估计原始图像和未知参数的最优值,实现图像去噪。实验结果证明了该算法的高效性,通过与其它算法的比较,该算法体现了速度快、效果好的优点,且去噪后的图像不会出现阶梯效应等问题。
Abstract
An efficient algorithm was presented to solve the problems of the speed and the staircase effect in the image denoising. In the Bayesian framework, firstly, the harmonic model was introduced as the prior model of the original image, and the Gamma distribution was supposed to be the prior distribution model of the unknown parameters. Secondly, the maximum posteriori probability was deduced using the variational method, based on which the original image and the unknown parameters were estimated simultaneously to remove the noise in the observed image. The experimental results show the efficiency of the proposed algorithm. Furthermore, compared with other similar algorithms, the proposed algorithm shows the competitive performance on the speed without bringing the staircase effect to the denoised images.
肖宿, 韩国强, 沃焱, 姚浩伟. 一种高效的图像去噪算法[J]. 光电工程, 2010, 37(5): 116. XIAO Su, HAN Guo-qiang, WO Yan, YAO Hao-wei. An Efficient Image Denoising Algorithm[J]. Opto-Electronic Engineering, 2010, 37(5): 116.