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Partition-based fuzzy median filter based on adaptive resonance theory
Affiliation:1. Department of Computer Science and Information Engineering, WuFeng University, Chiayi, 62153, Taiwan, ROC;2. Department of Mechanical and Energy Engineering, National Chiayi University, Chiayi, 60004, Taiwan, ROC;1. Beijing University of Posts and Telecommunications, 100876 PR China;2. France Telecom Research & Development, Beijing 100190, PR China;1. College of Computer Engineering, Yangtze Normal University, Chongqing 408100, China;2. School of Electrical Engineering, Wuhan University, Wuhan 430072, China;3. School of Cyber Security and Informatioin Law, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;4. School of Computer Science and Cyberspace Security, Hainan University, Haikou 570228, China;1. Dept. Automatic Control and Systems Engineering, UPV/EHU, Spain;2. Instituto de Telecomunicações/DEEC-FEUP, Universidade do Porto, Portugal;3. Tecnalia Research & Innovation, Zamudio, Spain
Abstract:This paper presents a novel partition-based fuzzy median filter for noise removal from corrupted digital images. The proposed filter is obtained as the weighted sum of the current pixel value and the output of the median filter, where the weight is set by using fuzzy rules concerning the state of the input signal sequence to indicate to what extent the pixel is considered to be noise. Based on the adaptive resonance theory, the authors developed a neural network model and created a new weight function where the neural network model is employed to partition the observation vector. In this framework, each observation vector is mapped to one of the M blocks that form the observation vector space. The least mean square (LMS) algorithm is applied to obtain the optimal weight for each block. Experiment results have confirmed the high performance of the proposed filter in efficiently removing impulsive noise and Gaussian noise.
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