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Improvements on Electric Field Based Curve Reconstruction from Unorganized Points

机译:无组织点基于电场曲线重建的改进

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Electric field based curve reconstruction algorithm assumed that every point is charged, and the intensity of the electric field reflects distribution and shape of the unorganized points, thus projection of the main ridge of the field surface on 2D plane can be taken as the reconstructed curve. Performance of the method is affected with the appropriate selection of initial points and the speed of their iterative approximations to the limit positions. Our paper makes improvements in two aspects: restrictions are defined for the moving paths of the initial points so that their order is kept and zigzags are avoided; reconstructed 2D curve from the projection of 3D points on one plane are translated as the initial shape to recover the 3D curve. The improved algorithm is applied to generate random number of samples from slices of unorganized 3D point cloud, which can then be easily represented by triangulated or spline surface. Improvements of the algorithm are tested with some 2D and 3D unorganized points, and the results are encouraging.
机译:基于电场的曲线重建算法假设每个点充电,并且电场的强度反映了未组织点的分布和形状,从而可以将场表面上的主脊的投影作为重建的曲线。 Performance of the method is affected with the appropriate selection of initial points and the speed of their iterative approximations to the limit positions.我们的论文在两个方面进行了改进:限制为初始点的移动路径,以便保存其顺序并避免曲折;从一个平面上的3D点的投影重建的2D曲线被翻译为初始形状以恢复3D曲线。施加改进的算法以产生来自未组织的3D点云的切片的随机数量,然后可以通过三角形或花键表面容易地表示。用一些2D和3D无组织点测试算法的改进,结果令人鼓舞。

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