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分形、神经网络、细胞自动机原理及其插值方法研究
引用本文:梁莉,徐松浦,胥泽银,戚国庆.分形、神经网络、细胞自动机原理及其插值方法研究[J].成都理工大学学报(自然科学版),2004,31(2):208-211.
作者姓名:梁莉  徐松浦  胥泽银  戚国庆
作者单位:成都理工大学信息管理学院,成都,610059;成都理工大学环境与土木工程学院
摘    要:传统的插值方法存在许多不足之处.将分形、神经网络、细胞自动机等非线性科学理论与传统的插值方法相结合,解决了传统的插值方法所不能解决的问题.分形插值使相邻两插值点之间的局部变化特征得以描述;人工神经网络插值解决了机理尚不明确的问题;基于细胞自动机理论的曲面重构使得整张拟合曲面的光顺性得到保证.文中对这些非线性插值方法逐一进行探讨.

关 键 词:分形  神经网络  细胞自动机  非线性插值方法
文章编号:1671-9727(2004)02-0208-04
修稿时间:2003年1月27日

Study on theories of fractal, nerve net, cellular automaton and interpolation method
LIANG Li,XU Song-pu,XU Ze-yin,QI Guo-qing.Study on theories of fractal, nerve net, cellular automaton and interpolation method[J].Journal of Chengdu University of Technology: Sci & Technol Ed,2004,31(2):208-211.
Authors:LIANG Li  XU Song-pu  XU Ze-yin  QI Guo-qing
Institution:LIANG Li~1,XU Song-pu~1,XU Ze-yin~1,QI Guo-qing~2
Abstract:There is a great number of shortcomings in the traditional interpolation method. The (combination) of nonlinear scientific theories of fractal, nerve net, cellular automaton etc with the traditional interpolation method has solved the problem that can't be settled by the traditional interpolation method. The character of point-to-point local change can be described by the method of fractal interpolation. The problem which modeling isn't definite can be settled by the method of nerve net interpolation. The smoothness of curved face can be held by the surface fitting method based on the theory of cellular (automaton). The nonlinear interpolation method is discussed in this paper.
Keywords:fractal  nerve net  cellular automaton  nonlinear interpolation method
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