IJPAM: Volume 60, No. 1 (2010)
TWO-DIMENSIONAL RESECTION PROBLEM
4, Krummaholar, Reykjavik, 111, ICELAND
Abstract.In surveying a resection is the observation of directions or lines of sight from a station to three or more targets with known (fixed or previously computed) coordinates and the computation of the station coordinates from these observations alone. In this article we shall minimize the sum of squares of the distances from the targets to the corresponding lines of sight. This will result in a set of equations linear in the station coordinates (and quadratic in a trigonometric function). Apart from exceptional cases, one of the solutions to the equations gives good approximate values for the station coordinates.
Received: January 11, 2010
AMS Subject Classification: 93E24
Key Words and Phrases: resection, overdetermined, two-dimensional
Source: International Journal of Pure and Applied Mathematics