Medical image-based 3D orthodontic wire optimization considering constraints at bracket and processing points

In this paper, we propose a new orthodontic wire design system (OWDS) that allows medical staff to set the bracket attachment position and direction on a 3D tomographic medical image. To enable fully automated processing of the orthodontic wire by a robot, a method for modeling the geometrically designed wire based on homogeneous transformation is proposed. A new custom algorithm is proposed for optimal wire design, which results in the shortest length that satisfies the constraints required for wire mounting. Through case studies of wire geometry design and other numerical experiments, the effectiveness of the proposed method is verified.