Sage Journals: Discover world-class research

Abstract

In order to obtain the rigorous accuracy of any point on the straight line element, based on existing research, this article considers the error of the straight line element and the error of any point to its end point of the straight line element, attempts to discuss the accuracy calculation of any point on the straight line element in three different situations, and through case analysis, compares the position covariance matrix of any point on the straight line element in three situations and draws its error ellipse using MATLAB programming. Finally, different accuracy sizes and different error ellipses are obtained. This research has certain guiding significance and role for error calculation in precision engineering measurement, such as large bridges or large through projects.

Keywords

Rigorous accuracy linear element covariance matrix error ellipses MATLAB

Get full access to this article

View all access options for this article.

References

Xiao

. Error Theory and Measurement Adjustment. Beijing: Science Press, 2019.

Zhu

Zuo

Song

. Error Theory and Basis of Measurement Adjustment. Beijing: Surveying and Mapping Science Press, 2013.

Sun

. Point position plane accuracy determined by two uncorrelated position differences and its application. Journal of Surveying and Mapping.2020; (3): 221-224.

Cai

Zhu

. Unified uncertainty model of line position based on spatiotemporal scale. Science of Surveying and Mapping.2011; (4): 27-30.

Wei

Cui

. Propagation model of linear element position uncertainty in GIS. Journal of Henan Polytechnic University (Natural Science Edition).2005; (2): 152-154.

Lin

Zhang

. Direct derivation of the formula for calculating the extreme direction of point position difference. Mining Survey.2017; (5): 68-70.

Liu

. New thinking on error ellipse teaching content design. Bulletin of Surveying and Mapping.2017; (5): 143-146+151.

Shi

Liu

. Error circle band of linear element position Uncertainty in GIS. Surveying and Mapping Information and Engineering.1998; (2): 6-8.

Gong

Xie

, et al. Error entropy model of surface elements in GIS. Journal of Surveying and Mapping.2003; (1): 31-35.

10.

Tang

. GIS vector linear entity equal probability density error model. Wuhan: Wuhan University, 2004.

11.

. Research on Location uncertainty model of spatial data based on information entropy. Wuhan: Wuhan University, 2003.

12.

Huang

Liu

et al. Error analysis and foundation of GIS spatial data. Wuhan: China University of Geosciences Press, 1995.

Study on the rigorous accuracy of any point on a linear element

Abstract

Keywords

Get full access to this article

References