Orthodontic Overcorrection Scheme Generation Based on Improved Multiparticle Swarm Optimization

Algorithm 2

The process of preovercorrection.

	Input: initial and ideal tooth position.
	Output: orthodontic solutions.
	Step 1: calculate the displacement value and the rotation angle from the initial position of the tooth to the ideal position.
	Step 2: compensate in the direction of the displacement and the direction of the rotation, employing a reasonable efficiency compensation.
	Step 3: obtain the corrected ideal position by compensation.
	Step 4: using the initial position of the tooth and the modified ideal position as the input of the path planning, the tooth motion path was obtained using an improved multi-PSO combinatorial optimization algorithm.