<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>This paper deals with the creation of a mathematical model to eliminate or reduce the impact of a vertical refraction from the results of repeated trigonometric measurements of elevations. A multiple regression model with air temperature and pressure as the explanatory variables is proposed and subsequently modified into the form of a two-regime model. The threshold parameter is given by the threshold function, which represents an approximation of the relationship between the atmospheric pressure and temperature. An investigation of the quality of the proposed models and the application of the selected model on the experimental measurement results is also performed.</p></abstract>

This paper deals with the creation of a mathematical model to eliminate or reduce the impact of a vertical refraction from the results of repeated trigonometric measurements of elevations. A multiple regression model with air temperature and pressure as the explanatory variables is proposed and subsequently modified into the form of a two-regime model. The threshold parameter is given by the threshold function, which represents an approximation of the relationship between the atmospheric pressure and temperature. An investigation of the quality of the proposed models and the application of the selected model on the experimental measurement results is also performed.

Reducing the impact of a vertical refraction by a two-regime model

Department of Surveying, Faculty of Civil Engineering, Radlinského 11 813 68 Bratislava

Slovak Journal of Civil Engineering

{"article-title":"Reducing the impact of a vertical refraction by a two-regime model"}

This paper deals with the creation of a mathematical model to eliminate or reduce the impact of a vertical refraction from the results of repeated...

Reducing the impact of a vertical refraction by a two-regime model

Published Online: Jul 11, 2011

Page range: 21 - 26

DOI: https://doi.org/10.2478/v10189-011-0009-9

Keywords
trigonometric measurement of elevations, vertical refraction, regression model, two-regime model, threshold parameter

This content is open access.

Reducing the impact of a vertical refraction by a two-regime model

Published Online: Jul 11, 2011

Page range: 21 - 26

DOI: https://doi.org/10.2478/v10189-011-0009-9

Keywordstrigonometric measurement of elevations, vertical refraction, regression model, two-regime model, threshold parameter

This content is open access.

Keywords
trigonometric measurement of elevations, vertical refraction, regression model, two-regime model, threshold parameter