%0 Journal Article
%T Fast Numerical Solutions of Diffusion Equations in Image Processing<br>图像处理中扩散方程的快速数值解法
%A Wang Wei-wei
%A Feng Xiang-chu
%A <br>王卫卫
%A 冯象初
%J 电子与信息学报
%D 2009
%I 
%X Fast algorithms for solving the 2 order nonlinear diffusion equations in image processing are presented. A linear finite difference scheme incorporating the explicit scheme and the implicit scheme is given. The stability condition of the scheme is also pgivend. Then three fast iteration algorithms including the MultiGrid (MG) method, the Alternative Direction Implicit (ADI) scheme, and the Additive Operators Splitting (AOS) schemes are discussed. Comparison of the three methods show that, the denoising performance is comparative. The MG method is a little better in denoising the smooth regions, while the ADI and the AOS schemes are simpler in realization.
%K Image processing
%K Nonlinear diffusion
%K MultiGrid (MG) method
%K Alternative Direction Implicit scheme (ADI)
%K Additive Operators Splitting(AOS) scheme<br>图像处理
%K 非线性扩散
%K 多重网格法
%K 交替方向隐格式
%K 加性算子分离法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=07F09E3DE8089991527EC89FC742B19A&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=DF92D298D3FF1E6E&sid=7BDE0FB5072797C1&eid=76F79DF7CA22520E&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=1&reference_num=11