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    • 68. 发明申请
    • Response surfaces for orthodontic treatment planning
    • 正畸治疗计划的反应面
    • US20060223023A1
    • 2006-10-05
    • US11096785
    • 2005-04-01
    • Ming-Lai LaiAndrew ChenJennifer TriceGopal Haregoppa
    • Ming-Lai LaiAndrew ChenJennifer TriceGopal Haregoppa
    • A61C3/00
    • A61C7/00A61C7/002A61C7/12A61C7/146A61C7/28
    • Methods and apparatus for orthodontic treatment planning that involve determining an initial position of an orthodontic structure, determining an altered position, and generating response surface data using a mathematical relationship between the positions. The mathematical relationship may be defined by a number of parameters useful for determining one or more of the stress, strain, force, and moment associated with movement of the orthodontic structure. The mathematical relationship between the initial position and the altered position may be defined using a finite element analysis, empirically determined, or using other computational methodologies such as a finite difference methodology. The mathematical relationship may also be defined using an analytical methodology, such as elasticity and/or plasticity methodologies. Response surface data may be generated as a teaching aid, treatment planning aid, table, or other useful form, which may be useful, for example, for designing an orthodontic appliance, verifying an orthodontic prescription, and/or planning the prescription.
    • 用于正畸治疗计划的方法和装置涉及确定正畸结构的初始位置,确定改变的位置,以及使用位置之间的数学关系产生响应面数据。 数学关系可以由用于确定与正畸结构的运动相关联的一个或多个应力,应变,力和力矩的许多参数来定义。 可以使用经验确定的有限元分析或使用其他计算方法(如有限差分法)来定义初始位置和改变位置之间的数学关系。 也可以使用诸如弹性和/或可塑性方法的分析方法来定义数学关系。 响应面数据可以作为教学辅助,治疗计划辅助,表格或其他有用的形式产生,这对于例如用于设计正畸矫治器,验证正畸处方和/或规划处方可能是有用的。