Estimation of Polygons and Areas
Estimation of Polygons and Areas
复制标题
多边形和面积的估计
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
N. Börlin
中科院分区：
文献类型：
--
作者：
ANNA H. Persson;L. Bondesson;N. Börlin
摘要：在林业中，面积估算问题是中心问题。 本文讨论了面积估计通过拟合多边形的观测坐标数据。利用独立的随机误差测量简单封闭多边形的角点和沿着边的点的坐标。本文重点介绍了程序调整坐标估计的多边形及其面积。不同的新技术，考虑不同数量的先验信息进行了描述和比较。不同的技术使用限制最小二乘，最大似然和期望最大化算法。在一个模拟研究中，它表明，当坐标调整估计之前，估计的均方根误差减小。微小的进一步改进是通过使用先验信息的顺序和分布的点沿着多边形的边。这篇论文起源于林业，但也有其他应用。
Abstract. In forestry the problem of estimating areas is central. This paper addresses area estimation through fitting of a polygon to observed coordinate data. Coordinates of corners and points along the sides of a simple closed polygon are measured with independent random errors. This paper focuses on procedures to adjust the coordinates for estimation of the polygon and its area. Different new techniques that consider different amounts of prior information are described and compared. The different techniques use restricted least squares, maximum likelihood and the expectation maximization algorithm. In a simulation study it is shown that the root mean square errors of the estimates are decreased when coordinates are adjusted before estimation. Minor further improvement is achieved by using prior information about the order and the distribution of the points along the sides of the polygon. This paper has its origin in forestry but there are also other applications.