An Improved Method for Image Denoising Based on Wavelet Thresholding

Abstract

Abstract:

Analyzing the characteristics of the wavelet threshold denoising, because that hard threshold denoising makes boundaries fuzzy and soft threshold denoising has

Gibbs phenomenon, an improved threshold function and threshold estimation method is proposed, the new threshold function is continuous differentiable and has variable deviation,

a new threshold estimation method has better adaptive. Experimental results show that the improved method can effectively remove the white noise, no matter from the visual

effect, or the signal-to-noise ratio, the improved method is better than the soft, hard threshold denoising.

Key words: image denoising, wavelet transform, threshold function, threshold estimation, threshold denoising

WANG Qi1, CHENG Bin2, DU Juan1, XU Guo-qing1. An Improved Method for Image Denoising Based on Wavelet Thresholding[J]. Computer and Modernization.

［1］李慧斌,刘峰. 小波变换和稀疏冗余表示的混合图像去噪［J］. 中国图象图形学报, 2012,17(9):1061-1068.
［2］陈晓曦,王延杰,刘恋. 小波阈值去噪法的深入研究［J］. 激光与红外, 2012,42(1):105-109.
［3］ Donoho D L, Johnston I M. Ideal spatial adaptation by wavelet shrinkage［J］. Biometrika, 1994,81(3):425-455. 
［4］ Donoho D L, Johbstone I M. Adapting to unknown smoothness via wavelet shrinkage［J］. Journal of the American Statistical Association, 1995,90(432):1200-1224.
［5］ Wang Shuxin, Xiao Xuezhong, Wang Yanhui,et al. Denoising method for shear probe signal based on wavelet thresholding［J］. Transaction of Tianjin University, 2012,18

(2):135-140.
［6］ Abdourrahmane M A, Dominique P, Gregoire M. Wavelet shrinkage: Unification of basic thresholding functions and thresholds［J］. Signal, Image and Video Processing,

2011,5(1):11-28.
［7］ Donoho D L. Denoising by soft thresholding［J］. IEEE Transcactions on Information Theory, 1995,41(3):613-627.
［8］刘平，王磊，郭中华，等. 基于小波变换的边缘保留图像去噪改进算法［J］. 电视技术, 2014,38(5):13-15.
［9］李蕴奇. 基于小波变换的图像阈值去噪及其效果评估［J］. 东北师大学报（自然科学版）, 2012,44(1):60-66. 
［10］Mehmet U, Muammer G, Abdulkadir S, et al. Denoising of weak ECG signals by using wavelet analysis and fuzzy thresholding［J］. Network Modeling Analysis in Health

Informatics and Bioinformatics, 2012,1(4):135-140.
［11］Wen Nu, Yang Shizhi, Zhu Chengjie, et al. Adaptive contourlet-wavelet iterative shrinkage/thresholding for remote sensing image restoration［J］. Journal of Zhejiang

University (Science C), 2014,15(8):664-674.
［12］王彦青,魏连鑫. 一种改进的小波阈值去噪方法［J］. 上海理工大学学报, 2011,33(4):405-408.
［13］王大凯,彭进业. 小波分析及其在信号处理中的应用［M］. 北京:电子工业出版社, 2006.
［14］Mehd N, Hossein N. Image denoising in the wavelet domain using a new adaptive threholding function［J］. Neurocomp Uting, 2009,72(4):1012-1025.
［15］Mitsuru I, Reiko M, Kuniharu I. A new evaluation method for image noise reduction and usefulness of the spatially adaptive wavelet thresholding method for CT images［J］

. Australasian Physical & Engineering Sciences in Medicine, 2012,35(4):475-483.
［16］武海洋，王慧，裴宝全. 一种阈值改进的邻域小波系数法图像去噪［J］. 计算机工程与应用, 2011,47(27):203-205.
［17］程文松，陈劲松. 一种新的改进阈值的小波包图像去噪方法［J］. 西安科技大学学报, 2010,30(4):479-483.

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An Improved Method for Image Denoising Based on Wavelet Thresholding

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