%0 Journal Article
%T A Variation Method Based on Convolution Integral for Image Denoising<br>一种基于卷积积分的图像去噪变分方法
%A ZHANG Jun
%A WEI Zhi-hui
%A <br>张军
%A 韦志辉
%J 中国图象图形学报
%D 2008
%I 
%X It is important to preserve more detailed information in image denoising.In this paper,we extend the total variation model for image denoising is which based on gradient to a new model based on fractional derivative,and then making use of the characteristic that fractional derivative and convolution integral have the same discrete formula in certain situation,We propose a variational model based on convolution integral which can be computed easily.The numerical results show that our model can not only better improve the PSNR of image,but also preserve more detailed information.
%K image denoising
%K fractional derivative
%K convolution integral
%K texture preserving<br>图像去噪
%K 分数阶微分
%K 卷积积分
%K 纹理保持
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=03A998265BDADA60015D8A2EA1E24AB3&yid=67289AFF6305E306&vid=FC0714F8D2EB605D&iid=9CF7A0430CBB2DFD&sid=2B71A0B813002B9E&eid=B8EB5038D77D4BBF&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=0&reference_num=8