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分形插值及其分形维数研究
引用本文:杨杰.分形插值及其分形维数研究[J].武汉工业学院学报,2006,25(1):9-11,36.
作者姓名:杨杰
作者单位:武汉大学,自动化系,湖北,武汉,430079
摘    要:在传统成熟的欧氏空间中,对自然界形态仿真有时会有一定的困难,对此可以用分形插值来拟合自然界形态。本文叙述了分形插值的生成原理,给出了分形插值的计算公式,提出了分形插值曲面的维数定理。

关 键 词:分形几何  分形插值  分形维数
文章编号:1009-4881(2006)01-0009-03
收稿时间:2005-09-07
修稿时间:2005-09-07

STUDY ON FRACTAL INTERPOLATED AND ITS FRACTAL DIMENSION
YANG Jie.STUDY ON FRACTAL INTERPOLATED AND ITS FRACTAL DIMENSION[J].Journal of Wuhan Polytechnic University,2006,25(1):9-11,36.
Authors:YANG Jie
Affiliation:Automation Department, Wuhan University, Wuhan 430072, China
Abstract:For traditional mature Euclid's geometric,it was sometime difficult to simulate the natural form.So it was developed to express the natural form with the fractal interpolated.In this paper,it described principle of the fractal interpolated,brought forward the method of the fractal interpolated.In the end,it depicted the fractal dimension of the fractal interpolated.
Keywords:fractal geometry  fractal interpolated  fractal dimension
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