Nova formula za izračun koeficijenta korelacije u geodetskim mjerenjima za mali broj opažanja

When performing geodetic surveys, the number of measurements is usually small, which in the case of dependent series of measurements leads to an underestimation of the correlation coefficient calculated by the standard formula. A new formula for determining the correlation coefficient is proposed. The values of correlation coefficients calculated by the new formula and by the known ones were compared for the number of measurements . It was found that the correlation coefficient values calculated by the new formula will have higher values as compared to the values calculated by the known formulas, i.e. these values will be less biased with respect to the true values of the correlation coefficients. The correlation coefficients obtained by the new formula will be maximal at an appropriate level of significance and number of degrees of freedom. With a large number of measurements, the values of correlation coefficients obtained by the new formula and by the formulas that are widely used in geodesy and photogrammetry will not differ significantly.Prilikom izvođenja geodetskih izmjera, broj mjerenja je obično mali što u slučaju serije ovisnih mjerenja dovodi do niske procjene koeficijenta korelacije izračunatog pomoću standardne formule. Predlaže se nova formula za određivanje koeficijenta korelacije. Uspoređene su vrijednosti koeficijenta korelacije izračunate pomoću nove formule i pomoću poznatih formula za broj mjerenja . Utvrđeno je da će vrijednosti koeficijenta korelacije izračunate novom formulom biti veće u usporedbi s vrijednostima izračunatima pomoću poznatih formula, odnosno te vrijednosti će biti manje pristrane u odnosu na prave vrijednosti koeficijenata korelacije. Koeficijenti korelacije dobiveni pomoću nove formule bit će maksimalni na odgovarajućoj razini značaja i broja stupnjeva slobode. Za veliki broj mjerenja, vrijednosti koeficijenata korelacije dobivene novom formulom i formulama čija je upotreba raširena u geodeziji i fotogrametriji neće se značajno razlikovati

Nova formula za izračun koeficijenta korelacije u geodetskim mjerenjima za mali broj opažanja

When performing geodetic surveys, the number of measurements is usually small, which in the case of dependent series of measurements leads to an underestimation of the correlation coefficient calculated by the standard formula. A new formula for determining the correlation coefficient is proposed. The values of correlation coefficients calculated by the new formula and by the known ones were compared for the number of measurements . It was found that the correlation coefficient values calculated by the new formula will have higher values as compared to the values calculated by the known formulas, i.e. these values will be less biased with respect to the true values of the correlation coefficients. The correlation coefficients obtained by the new formula will be maximal at an appropriate level of significance and number of degrees of freedom. With a large number of measurements, the values of correlation coefficients obtained by the new formula and by the formulas that are widely used in geodesy and photogrammetry will not differ significantly.Prilikom izvođenja geodetskih izmjera, broj mjerenja je obično mali što u slučaju serije ovisnih mjerenja dovodi do niske procjene koeficijenta korelacije izračunatog pomoću standardne formule. Predlaže se nova formula za određivanje koeficijenta korelacije. Uspoređene su vrijednosti koeficijenta korelacije izračunate pomoću nove formule i pomoću poznatih formula za broj mjerenja . Utvrđeno je da će vrijednosti koeficijenta korelacije izračunate novom formulom biti veće u usporedbi s vrijednostima izračunatima pomoću poznatih formula, odnosno te vrijednosti će biti manje pristrane u odnosu na prave vrijednosti koeficijenata korelacije. Koeficijenti korelacije dobiveni pomoću nove formule bit će maksimalni na odgovarajućoj razini značaja i broja stupnjeva slobode. Za veliki broj mjerenja, vrijednosti koeficijenata korelacije dobivene novom formulom i formulama čija je upotreba raširena u geodeziji i fotogrametriji neće se značajno razlikovati

Suvremene tehnologije geodetske podrške u planiranju radova u visokogradnji

The work shows the shortcomings of traditional geodetic technologies in the limited space of a modern construction site on the basis of research and analysis of literature sources, regulatory and production base of geodetic support in the construction of multi-storey buildings. Today, electronic tacheometers are used to perform planning works, which allowed to perform planning of building structures without bringing the building axes of the building to the ground, which, in its turn, had an extremely positive effect on compliance with deadlines of construction. When creating a support base on prefabricated horizons during the construction of buildings up to 150 m, it is suggested to use satellite technology with subsequent planning of building structures directly using electronic tacheometers.U radu se prikazuju nedostaci tradicionalnih tehnologija u ograničenom prostoru suvremenoga gradilišta na temelju istraživanja i analize literature, regulatorne i proizvodne osnove geodetske podrške u izgradnji višekatnih zgrada. Danas se elektronički tahimetri primjenjuju za provedbu radova u planiranju, što je omogućilo izvođenje planiranja građevinskih konstrukcija bez spuštanja građevnih osi objekta na tlo što je imalo pozitivan učinak na poštivanje rokova izgradnje. Prilikom uspostave potporne osnove na montažnim horizontima tijekom izgradnje zgrada visine do 150 m predlaže se primjena satelitske tehnologije s naknadnim planiranjem građevinskih konstrukcija primjenom elektroničkih tahimetara

Structural method for determining deformations by geodetic measurements

Industrial equipment is a dynamic system that deforms during installation (assembly) and during operation. Under the influence of variable load and mixing of the center of gravity of the equipment and foundations on which it is installed, uneven horizontal and vertical displacements occur, therefore individual equipment elements are unevenly deformed, which can lead to poor performance or stoppage of this equipment. Timely measurement of the displacement of certain points of equipment (deformations) of precision equipment with the help of geodetic and other methods and their correct use for correcting the geometry of the equipment will contribute to improving the operational properties and increasing the period of uninterrupted operation of equipment’s, for example, precision conveyor lines for assembling cars