基于局部曲率测量的智能矫形器三维曲面重建方法
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1.北京航空航天大学 医学科学与工程学院, 北京生物医学高精尖创新中心;2.北京航空航天大学 生物与医学工程学院;3.康复大学

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Three-dimensional Surface Reconstruction Method of Intelligent Orthoses Based on Local Curvature Measurement
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1.School of Engineering Medicine, Beijing Advanced Innovation Center for Biomedical Engineering, Beihang University;2.School of Biological Science and Medical Engineering, Beihang University;3.University of Health and Rehabilitation Sciences

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    摘要:

    目的 矫形器在穿戴过程中不可避免发生形变从而导致矫治力输出错误,为保证力模型的准确性,获取矫形器的三维形状信息十分必要,为此本文探究适用于矫形器的三维曲面形状重建方法。方法 基于曲面上的局部曲率,将其插值得到曲率延弧长分布并根据 Frenet 标架重建轮廓曲线,最后整合轮廓曲线形成曲面。结果 采用最近邻插值和三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 cm 和 0.860 cm,样条插值方法效果整体略优于最近邻插值。结论 所提出的矫形器三维形状重建方法有效、可靠,其适用于形状较为复杂的矫形器三维形状重建场景。

    Abstract:

    Objective The orthopedic device is inevitable to deform during wearing, resulting in error in the output of corrective force. To ensure the accuracy of the force model, it is necessary to obtain the three-dimensional shape information of the orthopedic device, thus this paper explores a method suitable for three-dimensional surface shape reconstruction of orthoses. Method The distribution of curvature along the arc length is obtained through interpolation based on the local curvature on the surface, then the contour curves are reconstructed according to the Frenet frame theory, and finally, several contour curves are integrated to achieve surface reconstruction. Results The maximum distance error and shape reconstruction error of the 50 cm overall contour curve reconstructed using nearest neighbor interpolation and cubic spline interpolation are both less than 1.303 cm and 0.963 cm. The reconstructed surfaces maintain the shape features of the reference surface, with mean absolute error and root mean square errors less than 0.770 cm and 0.860 cm. The overall performance of spline interpolation method is slightly better than nearest neighbor interpolation. Conclusions The proposed method for reconstructing the three-dimensional shape of orthoses is effective and reliable, meanwhile is applicable for orthoses with complex shapes.

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  • 收稿日期:2025-01-06
  • 最后修改日期:2025-04-16
  • 录用日期:2025-04-17
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