Abstract
Circular arcs are a graphical element present in the cadastral systems of many countries. Unfortunately, this type of record of the geometry of parcel borders is a problem described by the directives of Infrastructure for Spatial Information in Europe (INSPIRE) Data Specification on Cadastral Parcels. Because of the difficulties of using such geometric objects, the solution to this problem, as recommended by the European Commission, should be monitored. The target effect should be a cadastral data model based solely on linear segments. Solutions based on a classic approach of converting such data (like arcs), unfortunately, always involves changes of one of the most important attributes of a parcel—its area. The paper presents a proposal for solving this important problem using an algorithm, ensuring the preservation of the area of the parcels after converting the arcs into linear segments. Moreover, attention was paid to the technical aspects of the proposed changes.
Highlights
In cartographic and graphic works, the problem of representing a given curve by means of approximate elements often occurs
The authors of this paper proposed a solution to this problem by introducing a new approximation algorithm, whose main advantage is the preservation of the area of the approximated circular arc segments [11]
The solution suggested by the authors is a proposal that can contribute to solving the problem of arches in cadastral systems
Summary
In cartographic and graphic works, the problem of representing a given curve by means of approximate elements often occurs. The algorithm divides the polyline into clusters of given dimensions and approximates its course with a straight line, limiting the number of vertices. Such a method makes it easier to work on complex components, but it reduces the accuracy of the transformation and the replacement of the curve’s points. For the parameter determining the degree of approximation, the most commonly used was the limit value of the sagitta t or the maximum length of section d (Figure 2) This type of approach, apart from the inevitable consequence of changing the method of description of the perimeter of the parcel, changes its area. The authors focused on developing a technology that would make it possible to convert arcs into segments without the need for major changes to existing cadastral systems
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
