%0 Journal Article
%T High-order image diffusion model on implicit surfaces<br>隐式曲面上图像扩散的高阶模型
%A Sun Jun
%A Pan Zhenkuan
%A Wei Weibo
%A Zhang Haitao
%A <br>孙军
%A 潘振宽
%A 魏伟波
%A 张海涛
%J 中国图象图形学报
%D 2010
%I 
%X The classic variational image diffusion models for planar image processing are extended to image diffusion on implicit surfaces using intrinsic image gradients defined based on implicit surfaces and expressed by zero level set functions, which can preserve edges effectively during image diffusion. But the models using only intrinsic gradients of image intensity show staircase effects beyond edges. In order to reduce the staircase effects, a general hybrid variational diffusion model is presented including regularizers based on intrinsic gradients and intrinsic divergence. The TV model and PM model are implemented as examples to validate the formulation in reducing staircase effects.
%K variational level set
%K implicit surface
%K image denoising
%K staircase effect
%K intrinsic divergence<br>变分水平集
%K 隐式曲面
%K 图像去噪
%K 阶梯效应
%K 内蕴散度
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=4088CE1FEDB5EDF063421FB694DE7A3F&yid=140ECF96957D60B2&vid=23CCDDCD68FFCC2F&iid=F3090AE9B60B7ED1&sid=D4D26E96843E8F48&eid=C13C5D291D09385A&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=0&reference_num=0