Global Optimization of Redescending Robust Estimators

Table 8

Circles and corresponding parameters obtained with the Tukey estimator computed by GO: for each solution (Solution No.), x_c and y_c are the coordinates of the center, r the radius, L the circumference length, No. Points is the number of points generated for the circle, and P₁, P₂, P₃ are the circle parameters. Circle No. is the corresponding circle number in Table 3.

Solution no.	xc	yc	r	P1	P2	P3	Circle no.
1	19.999	9.998	8.000	−39.998	−19.996	435.917	2
2	10.001	9.994	4.995	−20.003	−19.988	174.963	1
3	39.987	17.994	7.498	−79.974	−35.989	1866.540	7
4	44.970	27.980	3.018	−89.940	−55.960	2796.056	6
5	19.997	31.998	5.001	−39.994	−63.995	1398.704	4
6	20.000	20.000	4.999	−39.999	−40.000	774.998	3
7	55.003	28.003	4.997	−110.006	−56.005	3784.475	5