Innovative Algorithm of Vector Translation Method for the Measurements of Corners of Building Structures Using RTN GNSS Technology

A building structure is one of the most diffi cult fi eld details to be measured. This situation is even more complicated when we use RTN GNSS technology for the measurements. The Regulation [4], in addition to the measurement methods specifi ed in the content of §8 and §9, also allows to use other solutions that meet the relevant accuracy requirements. The commonly used classical indirect method of line-line intersection, as an element supporting the real-time measurement technology, however, leaves much doubt as to the quality of the fi nal results. Therefore, some modifi cations should be introduced in the entire calculation process, the result of which would be the fi nal position of a building structure. In [2, 3], the author has already presented some calculation improvements to increase the reliability of the yielded coordinates of the corners of building structures, performed in the RTN GNSS mode. This article is the result of a consolidation of the author’s existing research achievements, together with some additional proposals, and it illustrates the use of an innovative calculation algorithm called the method of vector translation. Due to the limited volume of the article, only a general outline of the algorithm has been presented. The key assumption of this innovative solution in modeling the coordinates of the corners of building structures is to use the half-angle method [3], as well as the lengths of the vectors created between the points calculated from the classical method of line-line intersection and the corners of building structures obtained by the half-angle method. Additionally, in the process of increasing the reliability of determining the coordinates of the corners of building structures, the assumption of the right angles at the extreme apexes and the method of vector addition [2] are twice taken into account. For some points (corners of buildings),