%0 Journal Article
%T Hierarchical Mumford-Shah Model for Vector-valued Image Segmentation, Denoising and Reconstruction<br>多层Mumford-Shah向量值图像分割、去噪与重建模型
%A LIU Guo-Cai
%A WANG Yao-Nan
%A <br>刘国才
%A 王耀南
%J 自动化学报
%D 2007
%I 
%X A novel hierarchical Mumford-Shah functional model is addressed to simultaneously segment, denoise and reconstruct the data within a given vector-valued image such as a color image, and to handle important image features such as triple points and other multiple junctions, which can be seen as a hierarchical case of the Mumford-Shah minimal partition problem for vector-valued images. At the same time, a new iterative tier-by-tier algorithm based on techniques of level set is proposed to minimize the functional, which is more effective and more simply than existing algorithms such as the hierarchical approach proposed by Tsai A et al. and the multiphase level set methods proposed by Chan T et al.
%K Vector-valued image processing
%K hierarchical Mumford-Shah model
%K level set methods
%K minimal partition problem
%K medical imaging<br>向量值图像处理
%K 多层Mumford-Shah模型
%K 水平集方法
%K 最小分割问题
%K 医学图像处理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=31ECBD2502B966B1&yid=A732AF04DDA03BB3&vid=27746BCEEE58E9DC&iid=B31275AF3241DB2D&sid=3B2BF7AC5674E8E2&eid=D647AF4730396036&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=12