杨赤中滤波推估法在土石方量计算中的应用

应用杨赤中滤波推估法，将地形测图中得到的地形碎部点高程观测值看作一种包含规律性变化和随机性变化的复合变量，利用二项系数加权游动平均对观测值序列进行逐遍滤波，显现出基本变化成分，建立估值数字模型，求得各个方格中心高程估值，根据工程建设的要求，使估网座标横轴方向与坡度方向相同，则可按估网列数求出各方格中心的设计高程，从而求得各方格的施工标高，算得土石方量并统计汇总。

Application of Yang Chizhong''''s filtering estimation method for earthwork computation

Applying Yang Chizhong's filtering estimation method,the elevation observations of terrain details by topographic surveying can be regarded as compound variables, which include regular and random variations. With binomial coefficient weighted moving average, filtering the observations array once and again is to espose its basic variable ingredients, to determine the mathematical model of the estimate value and fulfil the height estimation of each square grid center (namely DTM interpolation). Furthermore, according to the engineering requirement, it can make the horizontal coordinate axis in the estimation network coincide with the gradient direction, work out the designed elevation of each square grid center with regard to the column quantity of the estimation network.Thus the construction height of each square grid is fixed, so that the earthwork is made and added up.