摘要
目的探究适用于矫形器的三维曲面形状重建方法。方法基于曲面局部曲率,将其插值获得曲率沿弧长分布,并根据Frenet标架重建轮廓曲线,最后整合轮廓曲线形成曲面。结果采用最近邻插值和3次样条插值两种方法所重建50 cm总长轮廓曲线的最大距离误差均小于1.303 cm,形状重建误差均小于0.963 cm。重建曲面均能较准确还原出待重建曲面的形状特征,两种方法的曲面重建平均绝对误差与均方根误差分别小于0.770、0.860 cm,其中3次样条插值方法效果整体略优于最近邻插值。结论本文所提出的矫形器三维形状重建方法有效、可靠,适用于形状较为复杂的矫形器三维形状重建场景。
Objective To develop a method for three-dimensional(3D)surface shape reconstruction of orthoses.Methods The distribution of curvature along the arc length was obtained through interpolation based on the local curvature of the surface,and the contour curves were reconstructed according to the Frenet frame theory.Finally,several contour curves were integrated to achieve surface reconstruction.Results The maximum distance error and shape reconstruction error of the 50-cm overall contour curve were lesser than 1.303 cm and 0.963 cm,respectively,when reconstructed using both nearest-neighbor interpolation and cubic spline interpolation.The reconstructed surfaces maintained the shape features of the reference surface,with the mean absolute error and root mean square error being lesser than 0.770 cm and 0.860 cm,respectively.The overall performance of the cubic spline interpolation method was slightly better than that of the nearest-neighbor interpolation method.Conclusions The proposed method for reconstructing the 3D shape of orthoses is effective and reliable and is applicable to orthoses with complex shapes.
作者
李相龙
郭江真
陶春静
LI Xianglong;GUO Jiangzhen;TAO Chunjing(Beijing Advanced Innovation Center for Biomedical Engineering,School of Engineering Medicine,Beihang University,Beijing 100191,China;School of Biological Science and Medical Engineering,Beihang University,Beijing 100191,China;University of Health and Rehabilitation Sciences,Qingdao 266113,Shandong,China)
出处
《医用生物力学》
北大核心
2025年第6期1494-1501,共8页
Journal of Medical Biomechanics
基金
北京市自然科学基金项目(L222031)
国家自然科学基金项目(12472326)。
关键词
智能矫形器
三维形状
Frenet标架
样条插值
最近邻插值
曲面重建
intelligent orthoses
three-dimensional shape
Frenet frame
spline interpolation
nearest neighbor interpolation
surface reconstruction
