结合全变分的双边滤波图像去噪方法研究  

Total variation model based bilateral filtering method of image denoising

作　　者：刘永财[1,2] 鲍益东[2] 王小平[2] 陈文亮[2] LIU Yongcai(College of Mathematics and Statistics,Qujing Normal University,Qujing 655011,China;College of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]曲靖师范学院数学与统计学院,云南曲靖655011 [2]南京航空航天大学机电学院,江苏南京210016

出　　处：《现代电子技术》2017年第17期36-39,共4页Modern Electronics Technique

基　　金：国家自然科学基金项目(51575266)

摘　　要：图像去噪是数字图像处理过程中的一个重要步骤,它将直接影响到图像处理的最终质量。针对传统的全变分(TV)正则化去噪算法容易产生阶梯效应的缺点,利用双边滤波去噪算法在空间域和值域两个方面进行滤波的特点,提出一种结合TV模型的双边滤波方法,该方法能在一定程度上有效地改善阶梯效应。仿真实验结果表明,提出的去噪方法不仅能够获得较好的去噪效果,还能有效地保持图像的边缘特征信息,降噪效果明显。在较高水平噪声情况下,与TV算法相比,该方法针对小尺寸灰度图片(256×256)图像的峰值信噪比(PSNR)提高1.45 d B左右,大尺寸灰度图片(512×512)图像的PSNR提高2.56 d B左右。The image denoising,as a key step in digital image processing,affects the final quality of image processing directly.Since the traditional total variation(TV)regularization denoising algorithm is easily to produce the staircase effect,a bilateral filtering method based on TV model is proposed to eliminate the staircase effect to a certain extent,in which the filteringcharacteristics in the aspects of spatial domain and value domain are considered.The experimental results show that the denoisingmethod can obtain better denoising effect,reserve the edge feature information of the image,and has perfect denoising effect.Incomparison with PSNR obtained with TV algorithm,the PSNR of the gray image with256×256size is increased by1.45dB,and the PSNR of the gray image with512×512size is increased by2.56dB.

关 键 词：数字图像 图像去噪 TV正则化 双边滤波 

分 类 号：TN911.73-34[电子电信—通信与信息系统]