Multiple circle intersections. An adjustment problem for observations in typical geodetic problems
Year: 2025
Type: article
Abstract: The proposed research problem involves devising a complete numerical procedure for adjusting a distance-distance intersection. The objective of the problem is to find the optimum point of intersection for several circles, where the radii are the results of survey measurements. Two alternative methods are proposed: adjusting the radius lengths as indirect observations and adjusting the individual intersection point coordinates as direct pseudo-observations. Each method involves assessing the location accuracy of the intersected point. The derived equations were tested numerically on practical examples. The devised procedures will be integrated into an exhaustive numerical algorithm for diverse surveying problems that can be easily reduced to multiple distance-distance intersections.
Source: Applied Geomatics
Author: Tadeusz Gargula
Institution: University of Agriculture in Krakow
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4417007755