Formulas for precisely and efficiently estimating the bias and variance of the length measurements
Formulas for precisely and efficiently estimating the bias and variance of the length measurements
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DOI：
10.1007/s10109-016-0235-9
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发表时间：
2016-09
影响因子：
2.9
通讯作者：
S. Xue;Yuanxi Yang;Y. Dang
中科院分区：
文献类型：
--
作者：
S. Xue;Yuanxi Yang;Y. Dang
Error analysis in length measurements is an important problem in geographic information system and cartographic operations. The distance between two random points—i.e., the length of a random line segment—may be viewed as a nonlinear mapping of the coordinates of the two points. In real-world applications, an unbiased length statistic may be expected in high-precision contexts, but the variance of the unbiased statistic is of concern in assessing the quality. This paper suggesting the use of ak-order bias correction formula and a nonlinear error propagation approach to the distance equation provides a useful way to describe the length of a line. The study shows that the bias is determined by the relative precision of the random line segment, and that the use of the higher-order bias correction is only needed for short-distance applications.
