engleski

Forward intersection and its accuracy

Consider two known points, 𝐴 and 𝐵, and assume that angles, :=alpha and :=beta, between line segment 𝐴𝐵 and lines to the unknown point 𝑇, are measured. The position of the point 𝑇 is determined as the intersection of lines 𝐴𝑇 and 𝐵𝑇, a technique often used in surveying and land navigation. It is usually said that the accuracy increases when the angle between the lines is approaching 90 degrees. In this paper it will be shown that the highest accuracy is not achieved at the intersection of lines at a right angle. The new formula for estimating the accuracy of forward intersection, where instead of angles :=alpha and :=beta the rectangular coordinates of the point are used, is derived. Finally, the accuracy distribution of forward intersection is visualized as a surface in 3D and contour plot in the plane.

forward intersection; accuracy estimation; visualization of the accuracy distribution

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