距离幂次反比法的改进与应用

详细分析了传统的距离幂次反比法的优缺点，在此基础上提出改进以后的新方法：指示距离幂次反比（IIDW）法。与传统的方法相比，IIDW法充分利用了采样点数据提供的各种有效信息，它不但可以为未知点提供更准确属性估计值，而且它还可以定量地给出估计值的精度。另外，利用IIDW法，还可以得到待估范围内，所研究的属性值位于某一区间内的概率。理论推导和实际应用都表明，与传统距离幂次反比法相比，IIDW法是一种简单易用的更有效的插值方法，值得在一定领域，如地质、地理和气象等研究领域内,进行进一步的研究、使用和推广。

Improvement and Application of Inverse Distance Weighted Method

The paper analyzes in detail the advantages and a disadvantage of conventional inverse distance weighted methods, and puts forward a new one based on their improvement: indicator inverse distance weighted (IIDW).Compared with the classical IDWs, IIDW method makes full use of the effective information in sampling data.It can provide not only more accurate estimated values of attributes but also quantified accuracy of the estimated values.Additionally, the probability of an attributive value in a certain range of the area under estimation can also be obtained by this method.Both theoretical deduction and practical application have shown that, compared with conventional IDW methods, IIDW is a simpler, more efficient interpolation method and worth further study, application and spreading in research fields of geology, geography, aerograph, etc.