Global Optimization of Redescending Robust Estimators

Table 7

Circles and corresponding parameters obtained with the Welsch 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	10.005	8.000	−39.998	−20.010	436.060	2
2	40.002	18.040	7.499	−80.004	−36.081	1869.377	7
3	20.063	32.008	4.973	−40.127	−64.015	1402.286	4
4	10.006	9.988	4.986	−20.012	−19.976	175.026	1
5	55.008	28.010	4.997	−110.016	−56.019	3785.429	5
6	20.000	20.001	4.998	−40.001	−40.002	775.079	3
7	44.994	27.996	3.004	−89.987	−55.993	2799.210	6