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Figure 5 | SpringerPlus

Figure 5

From: Solution of underdetermined systems of equations with gridded a priori constraints

Figure 5

Uncertainty areas and their intersections. (a) A ring defines the uncertainty area (locus) of point M, the distance S of which has been measured from point P 1 with standard error σ. (b) Schematic representation of the problem of intersection. The coordinates of a point M are defined from the common space (intersection) of the areas of uncertainty of each observation. The best estimate of the coordinates of point M is defined as the centre of the ellipse inscribed in this common area (space). (c) Topological estimation of the coordinates of point M as intersection of the area of uncertainty of M (ring) and a square, reflecting an a priori condition for its location. This last area corresponds to the grid G of TOPINV.

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