Open AccessNumerical methods to find the slope at a point on map using level curves. Application in road designing
Author(s) -
Ovidiu Deaconu,
Adrian Deaconu
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/789/1/012017
Subject(s) - point (geometry) , mathematical optimization , algorithm , computer science , mathematics , geometry
The problem of determining the slope at a point on a map using level curves has practical applicability in designing the roads. This problem is reduced to the problem of finding the shortest length segment through a point that connects two coplanar lines. Two methods to solve this problem are presented: a fast approximate method and a slower but exact algorithmic method. The results are compared at the end.