A Method for Rebuilding Closed Curve Based on Fractal

Biao Huang, Peng Yang
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Abstract

As a new theory for studying non-linear complex systems, fractal geometry has received much attention recently. Based on the relationship between length of curve and change of scale as well as the idea that a closed curve is formed by a certain amount of unclosed curves, we present an improved Douglas-Peuker method (IDPM) based algorithm. Our algorithm can not only keep the shape and details of the closed curve but also take advantage of the research achievements of the unclosed curves. In addition, it simplifies the operation and reduces the preserved points while rebuilding boundary of graph.
一种基于分形的封闭曲线重建方法
分形几何作为研究非线性复杂系统的一种新理论,近年来受到了广泛的关注。基于曲线长度与尺度变化的关系,以及由一定数量的非封闭曲线构成封闭曲线的思想,提出了一种改进的Douglas-Peuker方法(IDPM)算法。该算法既保留了封闭曲线的形状和细节,又充分利用了非封闭曲线的研究成果。此外,在重建图的边界时,简化了操作,减少了保留点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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