%0 Journal Article
%T Research on a new function for image adaptive denoising<br>自适应去噪函数性能研究
%A Li Cailian
%A Sun Jixiang
%A Kang Yaohong
%A <br>李财莲
%A 孙即祥
%A 康耀红
%J 中国图象图形学报
%D 2011
%I 
%X In this paper we introduce a new function for image denoising. The new function is simple and continuous. It obtains some advantages from both: the hard-thresholding function and the soft-thresholding function. It overcomes the shortcoming that there is an invariable dispersion between the estimated wavelet coefficients and decomposed wavelet coefficients of the soft-thresholding method. At the same time, this function overcomes the shortcoming of the hard-thresholding method with discontinuous functions. We proof that the new function satisfies the shrinkage condition and has infinite rank continuous derivative. At the same time, it has adaptive character and is suitable for various mathematical processing. These advantages make it possible to construct an adaptive algorithm for image denoising. At last, several numerical experiments show that the proposed new function is very effective and predominant. It gives better performance both in terms of PSNR and in visual quality. Our function can preserve more significant information of original images like edges and details than the soft-thresholding function. At the same time, the images denoised by our function are smoother than those denoised by the hard-thresholding function. It also gives a better MSE performance than two typical methods.
%K wavelet transform
%K hard-thresholding function
%K soft-thresholding function
%K new denoising function
%K MSE estimate
%K image denoising<br>小波变换
%K 硬阈值函数
%K 软阈值函数
%K 新去噪函数
%K 最小均方误差
%K 图像去噪
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=3D120F67FFBE1E37B47971EE8CCCE18A&yid=9377ED8094509821&vid=7801E6FC5AE9020C&iid=708DD6B15D2464E8&sid=A7F20A391020FDEE&eid=0702FE8EC3581E51&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=0&reference_num=12