矢量GIS平面一般曲线等概率密度误差模型

Abstract

基于数值分析、经典概率论和线状实体误差分布机理,定义了矢量GIS平面一般曲线等概率密度误差模型的概念,提出了平面一般曲线等概率密度误差模型尺度因子的概念和确定方法,结合平面一般曲线落入其相应等概率密度误差模型内的概率算法和概率置信水平,确定了尺度因子的具体数值,给出了平面一般曲线等概率密度误差模型的形状与规模。 Based on numerical calculation and error distribution mechanism of the linear entity in vector GIS,the modeling error theory of 2D generic curve in vector GIS has been researched.The concept named the equivalent probability density error model(Tepdem) is brought forward.The concepts and ascertaining methods on Scale factor used to determine the scale of Tepdem are presented.Based on the probability algorithm on a linear entity drops in its corresponding Tepdem and the probability confidence level,the scale of Tepdem to 2D generic curve are solved successfully.The theory and methods are provided,at the same time,the theory basis for GIS positional uncertainty research has been tamped to great extent.