%0 Journal Article
%T Curve Reconstruction Based on Orthogonal Neural Network<br>一种基于正交神经网络的曲线重建方法
%A XIAO Shao-yong
%A JIN Xiao-gang
%A SHI Wen-jun
%A <br>肖少拥
%A 金小刚
%A 石文俊
%J 中国图象图形学报
%D 2000
%I 
%X Abstract This paper presents a new curve reconstruction method based on orthogonal neural network. The orthogonal neural network's structure is the same as that of the three layered feedforward neural network. The difference is that the processing function of hidden unit of the orthogonal neural network is Tchebycheff orthogonal function instead of sigmoidial function and the calculation of Tchebycheff function is simpler than that of sigmoidial function. The new method uses less samples and reconstructs higher precision smooth curves than previous methods. By adopting a non iterative Givens learning algorithm, the new network learning algorithm learns fast and can avoid false local minima and the initialization of weights and other parameters. Experiments show that the reconstructed curve using the orthogonal neural network method has high precision not only at learning sample points but also at the non learning sample points.
%K Curve reconstruction
%K Orthogonal neural network
%K Givens learning algorithm<br>曲线重建
%K 正交神经网络
%K Givens学习算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=4A197FA8A7353963&yid=9806D0D4EAA9BED3&vid=94C357A881DFC066&iid=CA4FD0336C81A37A&sid=95D537AC89B28832&eid=8BD23BD67BF01A5C&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=1&reference_num=3