数字高程模型中求趋势的一种方法——无偏最优求趋势法

Best Unbiased Estimator for Trend——A Method of Getting Trend of Digital Elevation Model

在地理信息系统(GIS)的数字高程模型中,经常需要求一些地形的趋势.本文给出一个求趋势的方法——无偏最优求趋势法.根据某点周围若干个信息点上的地形高程数据估计出该点处的趋势值,而且这种估计是在满足线性、无偏、最小估计方差条件下求得的,这就是无偏最优求趋势法.它比经常用来求趋势的方法——趋势分析方法,有许多优点.

Best unbiased estimator for trend, a method for getting trend of terrain elevation data, is given. It is an estimation method with high precision and good effectiveness. Trend datum in a point is estimated according to the digital elevation data in some information points around it. The estimation of trend is linear unbiased and with minimum variance of estimation. It has many advantages over the trend analysis method.