%0 Journal Article
%T An Integer Wavelets Transform with Multiplierless Operation and Its Line-Based Lifting Scheme<br>一种不需要乘法的整数小波变换及其基于行的提升格式
%A ZHOU Hua-yu
%A GUAN Lu-tai
%A MA Jian-hua
%A <br>周化雨
%A 关履泰
%A 马建华
%J 中国图象图形学报
%D 2005
%I 
%X This paper does further research for the lifted Donoho wavelets.Through the computing of regularity and the wavelets sampling approximation theory,we explain it has better approximation capability when N=N~=4(denoted as SWE13/7),and it precedes D9/7 wavelets in sampling approximation.The lifting coefficients of SWE13/7 are all simple fractions,so wavelets transform only with integer shift and adder operations can be obtained in computing process,the computing complexity is efficiently lower than D9/7,and the result is equivalent to those using floating number in computing process.The line-based lifting scheme can efficiently decrease the memory usage,and increase the speed at parallel computing case.This paper has realized the line-based lifting scheme of SWE13/7,it has lower complexity than D9/7 in evidence.Numerical experiments indicate that the image compression performance of SWE13/7 precedes that of D9/7 when using EZW coding,and its computing complexity is much less.
%K lifting scheme
%K regularity
%K integer wavelets transform<br>提升格式
%K 正则性
%K 整数小波变换
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=80E7E650866D7412&yid=2DD7160C83D0ACED&vid=F3090AE9B60B7ED1&iid=5D311CA918CA9A03&sid=1BE4748776BF02C4&eid=88B4027FEBE4F5FF&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=0&reference_num=13