Monte Carlo method Clause Samples

Monte Carlo method. The Monte Carlo method improves the initial estimation of a circle's position and diameter by generating a large number of small shifts in diameter and position of the circle. The circle with the smallest RMS is selected. The calculation will be stopped when the required RMS limit is reached, or after the specified number of simulations. The initial estimation method can be selected by a user or automatically. The automatic selection calculates approximations by all initial methods and selects the method with the smallest RMS. Optionally, the initial estimation can be improved by the optimal circle method. According to our experience, 1 000 repetitions is sufficient to improve accuracy of the initial methods. Examples:
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