A new method for removing mixed noises  

作　　者：LI Bing LIU QuanSheng XU JiaWei LUO XiaoJun 

机构地区：[1]School of Mathematics and Computation Science, Changsha University of Science & Technology, Changsha 410076, China [2]LMAM, Universitd de Brctagne-Sud, Campus de Tohannic, Vannes 56017. Universite Europgenne de Bretagne, France [3]Department of Mathematics, Zhongshan Polytechnic, Zhongshan 528404, China

出　　处：《Science China(Information Sciences)》2011年第1期51-59,共9页中国科学（信息科学）（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.10871035);the Key Project of Scientific Research Fund of Hunan Provincial Education Department(Grant No.03A002);the Project Supported by Zhongshan Science and Technology Department(Grant No.2008A245)

摘　　要：We first introduce a similarity assumption to describe the similarity phenomenon in natural images, and establish a similarity principle which supplies a simple mathematical justification for the non-local means filter in removing Gaussian noises. Using the similarity principe in an adapted way, we then propose a new algorithm, called mixed noise filter （MNF） to remove simultaneously a mixture of Gaussian and random impulse noises. Our experiments show that our new filter improves significantly the trilateral filter in removing mixed noises, and that it is as efficient as the non-local means filter in removing Gaussian noises, and as good as the trilateral filter in removing random impulse noises.We first introduce a similarity assumption to describe the similarity phenomenon in natural images, and establish a similarity principle which supplies a simple mathematical justification for the non-local means filter in removing Gaussian noises. Using the similarity principe in an adapted way, we then propose a new algorithm, called mixed noise filter （MNF） to remove simultaneously a mixture of Gaussian and random impulse noises. Our experiments show that our new filter improves significantly the trilateral filter in removing mixed noises, and that it is as efficient as the non-local means filter in removing Gaussian noises, and as good as the trilateral filter in removing random impulse noises.

关 键 词：mixed noises Gaussian noises  random impulse noises  image restoration  nonlinear filters  trilat- eral filter  non-local means filter  denoising  similarity principle 

分 类 号：TQ325.3[化学工程—合成树脂塑料工业] TN912.3[电子电信—通信与信息系统]