%0 Journal Article
%T Center B Spline Dyadic Wavelet Multiscale Edge Detection<br>中心B样条二进小波多尺度边缘提取
%A Jia Tianxu
%A Zheng Nanning
%A Zhang Yuanliang
%A <br>贾天旭
%A 郑南宁
%A 张元亮
%J 自动化学报
%D 1998
%I 
%X We first analyse the effect of cutting off the Canny operator on the calculation speed for multiscale edge detection, and then propose the center B spline spline dyadic wavelet multiscale edge detection algorithm. Some properties of the Canny operator and center B function are studied in detail: 1) the center B spline function has compact support and the Canny operator does not; 2) the center B spline function converges to the Gaussian function and the derivative of center B spline {unction converges to Canny operator; 3) the derivative of the fourth order center B spline function is more like the optimal edge detection filter than the Canny operator is ; and 4) the fourth order center B spline function is the only solution to the second order smoothing problem and its time-frequency uncertainty value is very close to the optimal value. The result of the multiscale edge detection shows that the center B spline dyadic wavelet is superior to the Canny operator.
%K Edge detection
%K center B spline function
%K dyadic wavelet
%K <br>边缘提取
%K B样条函数
%K 二进小波
%K 图像处理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=2BC1E4D7B1BD51A0&yid=8CAA3A429E3EA654&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=C29816B2656377A7&eid=FCD27DC5E1F2EEE7&journal_id=0254-4156&journal_name=自动化学报&referenced_num=6&reference_num=4