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函数图像分形维数的计算方法
引用本文:乐友喜,王才经.函数图像分形维数的计算方法[J].中国石油大学学报(自然科学版),1996(2).
作者姓名:乐友喜  王才经
作者单位:石油大学勘探系
摘    要:分析了有限离散采样点的函数图像(如地震曲线、测井曲线等)分数维的计算方法,根据平面图形盒子维的算法思想,提出了一种适合于计算函数图像分数维的盒子维算法,这种方法快速、准确,并在实际中得到了应用.

关 键 词:分形几何学  分数维  容量维  盒子维

ALGORITHM OF FRACTAL DIMENSION OF FUNCTION GRAPH
Yue Youxi,Wang Caijing.ALGORITHM OF FRACTAL DIMENSION OF FUNCTION GRAPH[J].Journal of China University of Petroleum,1996(2).
Authors:Yue Youxi  Wang Caijing
Abstract:The methods for calculating fractal dimension of discrete function graph of Finite samples (such as seismic curve, log curvel are analyzed. An algorithm suitable for calculating fractal dimension of function graph based on the principle for calculating box dimension of continuous plane graph is proposed. It is a method with high accuracy and high speed. This method has been applied to practice.
Keywords:Fractal geometry  Fractal dimension  Capacity dimension  Box dimension
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