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Study on the Plane and Spherical Feature Extraction Based on Differential Information of Point Clouds

机译:基于点云差分信息的平面和球形特征提取研究

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摘要

Geometric features play a very important role in the mechanical product reverse modeling. Plane and spherical features are widely used in the product design. A method for determining plane and spherical features is presented in the paper. The differential information of point clouds, such as normal vectors and curvatures, is calculated. Least square fitting algorithm is used to calculate unit normal vectors of point clouds. Quadratic parabolic surface model is used to calculate curvatures of point clouds. Unit normal vectors are used to establish the Gauss map, and curvatures are used to establish the normal curvature map. Because the normal vector of the plane is a constant, two normal curvatures of the sphere are equal in absolute values, the plane and spherical features of point clouds are able to quickly be extracted. Experimental results showed that the proposed method is effective.
机译:几何特征在机械产品反向建模中起着非常重要的作用。平面和球形特征广泛用于产品设计中。本文提出了一种确定平面和球形特征的方法。计算点云的微分信息,例如法向矢量和曲率。最小二乘拟合算法用于计算点云的单位法向向量。二次抛物线曲面模型用于计算点云的曲率。单位法向矢量用于建立高斯图,曲率用于建立法线曲率图。因为平面的法线向量是一个常数,所以球体的两个法线曲率的绝对值相等,因此可以快速提取点云的平面和球面特征。实验结果表明,该方法是有效的。

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