许蔓苓, 欧阳奕孺. 生成von Koch曲线的算法及计算机实现[J]. 北京工业大学学报, 1998, 24(2): 51-58.
    引用本文: 许蔓苓, 欧阳奕孺. 生成von Koch曲线的算法及计算机实现[J]. 北京工业大学学报, 1998, 24(2): 51-58.
    Xu Manling, Ouyang Yiru. The Algorithms for von Koch Curve Generation and Their Computer Implementation[J]. Journal of Beijing University of Technology, 1998, 24(2): 51-58.
    Citation: Xu Manling, Ouyang Yiru. The Algorithms for von Koch Curve Generation and Their Computer Implementation[J]. Journal of Beijing University of Technology, 1998, 24(2): 51-58.

    生成von Koch曲线的算法及计算机实现

    The Algorithms for von Koch Curve Generation and Their Computer Implementation

    • 摘要: 数学上已有许多生成von Koch曲线的方法.形式上,主要可分为递归带入和吸引子方法.但就其计算机实现而言,更有诸多不同算法.本文力图全面探讨生成von Koch曲线的风格各异的不同算法,揭示其丰富的数学内涵,并给出其计算机实现的核心技术,同时给出生成von Koch曲线的IFS码.本算法也适用于许多其它分形的生成.

       

      Abstract: There are many methods for von Koch curve generation. Formally they are divided to recursive substitution and attraction methods. However, in respect to their computer implementation, there are more various algorithms available. The aim of this paper is to comprehensively search different style algorithms for von Koch curve generation, to disclose their rich mathematical connotation and to give the key technolygy of computer implementation, and to give its IF5 code as well. These algorithms can also be applied to many other fractals.

       

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