Research Article

Global Optimization of Redescending Robust Estimators

Table 5

Circle parameters (P1, P2, and P3) fitted to the data obtained with different redescending estimators computed by GO and by IRLS and corresponding best values of the objective function f.

Geman–McClureWelschTukey
IRLSGOIRLSGOIRLSGO

P1−63.136−39.995−62.921−39.998−62.882−39.998
P2−38.527−19.992−38.626−20.010−38.632−19.996
P31043.73435.831038.20436.061036.38435.92
fbest522.05436.801039.69826.861041.64836.92