Heuristic and Numerical Geometrical Methods for Estimating the Elevation and Slope at Points Using Level Curves. Application for Embankments

Both the calculation of ground slopes at points on the map and the elevation estimation for these points bear significant importance and also have applications in various domains, such as civil engineering, road and railway design. The paper presents two methods that use level curves: one that is fa...

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Bibliographic Details
Published in:Applied sciences 2021-07, Vol.11 (13), p.6176
Main Authors: Deaconu, Adrian Marius, Deaconu, Ovidiu
Format: Article
Language:English
Subjects:
Algorithms
Civil engineering
Design
Embankments
Excavation
ground slopes
level curves
Methods
Numerical methods
optimization
Railway design
road and rail design
Roads & highways
Topography
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Summary:Both the calculation of ground slopes at points on the map and the elevation estimation for these points bear significant importance and also have applications in various domains, such as civil engineering, road and railway design. The paper presents two methods that use level curves: one that is fast and approximate and another which is slower, but more precise. The running speed of the two proposed methods and their results are compared by performing 100 million experiments. The paper also presents how these methods can be applied to optimize embankments. An accurate method to calculate the horizontal plane of the excavation/filling when building a new house is also presented.
ISSN:2076-3417
2076-3417
DOI:10.3390/app11136176