Adam Doskocz

About accuracy of analytical determination of areas for kadastre and other purposes

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Abstract

At present, when digital maps are produced, areas are either calculated with the use of analytical-and-digital methods or they are directly acquired from databases. Besides the area of objects is a key attribute stored in cadastral registers and for other geodetic purposes. In the process of development and modernization or updating lands or buildings register database the knowledge of the certainty of analytical determination of areas is required. The knowledge of accurately determined areas is also indispensable for other activities, as e.g. in the case of geodetic maintenance of investments or in the process of control of direct subsidies for agriculture, which are performed within the Integrated Administration and Control System (IACS).
The paper considers the case of the relative accuracy of calculation the area of the geometric figure (error-free assumption for the geodetic control network points) basing on mean square errors of X, Y coordinates of its vertices.
A formula, which defines the accuracy of the calculation the area of the polygon, was determined from well known Gauss' equation on double area calculation. In analyses was stated permissible uncertainty of calculation of an area from coordinates of vertices' points for different methods of producing cadastral and other digital map data.

Keywords: digital map data; areas of cadastral objects; error of areas determination.