Abstract: This paper presents studies on improving the weighted method with direction distance.The defects of the weighted method with distance square inverse ration and the weighted method with direction distance are pointed out.The concept of shield coefficient is introduced.The weighted method with the shield coefficient is obtained.The defects of the weighted method with direction fractal dimensions are presented.The weighted method with Hurst exponent and weighted methods with fractal dimensions of attractor are achieved.The superiority of the new methods is explained by means of contour curves of a practical example.

Key words: distance, direction-distance, weighted method, shield coefficient, Hurst index, contour curves

摘要： 针对距离平方反比加权法、方位-距离加权法的缺陷,引入屏蔽系数概念,改进方位-距离加权法,即获得了屏蔽系数加权法;指出现行方位-分维加权法的缺陷,并利用吸引子分维数、Hurst指数在变化复杂程度高者取小权,低者取大权的指导思想下,对屏蔽系数加权法作进一步的改进,获得了吸引子分维加权法、Hurst指数加权法,并通过实例等值图对比说明了新方法的优越性.

关键词: 距离, 方位, 加权法, 屏蔽系数, 吸引子, Hurst指数, 等值图