%0 Journal Article
%T A Class of Variational Model for Inverse Problem in Image Zooming
一类针对图像放大中反问题的变分模
%A Li Min
%A Lu Cheng-wu
%A Feng Xiang-chu
%A
李 敏
%A 卢成武
%A 冯象初
%J 电子与信息学报
%D 2008
%I
%X To a mass of computation iteration of Chambolle model in solving the inverse problem of image zooming, a class of new model that is based on Besov space is put forward. The new model translates the variational problem that is solved into a sequence based wavelet field through the equivalence between Besov semi-norm and the norm of wavelet coefficients. And the process of minimization shows that the optimization solutions of the sequence can be represented as the orthogonal projection onto wavelet field. Finally, not only the zoomed images have sharper and smooth edges, but also the details of images are kept, resulting in the naturalness. In addition, the effect of denoising is very satisfactory.
%K Wavelet shrinkage
%K Variational functional
%K Minimization
%K Image zooming
小波阈值
%K 变分泛函
%K 极小化
%K 图像放大
%K 图像放大
%K 反问题
%K 变分问题
%K Image
%K Inverse
%K Problem
%K Model
%K Variational
%K 效果
%K 去噪
%K 细节特征
%K 意义
%K 边缘轮廓
%K 大图像
%K 处理
%K 方法
%K 结果
%K 实验
%K 正交投影
%K 最优解
%K 过程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=3CEF13817081F357E0264DA91FA2C360&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=B31275AF3241DB2D&sid=0E37D9F9BC838B8F&eid=5A700C739C4FF128&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=9