| 一类分形曲线递归算法的新设计 |
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| 引用本文： | 童宁江.一类分形曲线递归算法的新设计[J].科学技术与工程,2011,11(20). |
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| 作者姓名： | 童宁江 |
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| 作者单位： | 1. 台州科技职业学院机电工程系,黄岩,318020
2. 浙江工业大学信息工程学院,杭州,310032 |
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| 摘 要： | 一类分形曲线称为Koch结构。生成Koch结构的一种常见算法是递归算法。对于Koch结构，针对现有递归算法的局限性，提出序数理论和若干性质。在此基础上，设计一个新的递归算法，给出新算法的两种实现，为生成二维Koch结构，提供了新的解决方案。新算法可以推广到三维空间，有效地解决了三维Koch结构的通用建模问题。
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| 关 键 词： | 分形，Koch结构，递归算法 |
| 收稿时间： | 3/25/2011 7:15:10 AM |
| 修稿时间： | 4/8/2011 10:23:36 PM |
New design of recursion algorithm for a class of fractal curves |
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| Tong Ning-jiang.New design of recursion algorithm for a class of fractal curves[J].Science Technology and Engineering,2011,11(20). |
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| Authors: | Tong Ning-jiang |
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| Institution: | TONG Ning-jiang1,GU Hui2(Department of Mechanical Electrical Engineering,Taizhou Vocational College of Science and Technology1,Huangyan 318020,P.R.China,College of Information Engineering,Zhejiang University of Technology2,Hangzhou 310032,P.R.China) |
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| Abstract: | a class of fractal curves is named Koch structure. A popular algorithm for generating Koch structure is recursion algorithm. About Koch structure, aims at the limitation of current recursion algorithms, brings up ordinal number theory and some properties. Based on this, designs a new recursion algorithm, gives two realizations of new algorithm, offers new solutions to generate the 2D Koch structure. New algorithm can be extended to 3D space, effectively solves the problem of general constructing 3D Koch structure. |
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| Keywords: | fractal Koch structure recursion algorithm |
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