Adaptive Surface Reconstruction from Non Uniform Point Sets

M. Abdel-Wahab, A. S. Hussein, M. Gaber
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Abstract

In this paper, a proposed algorithm for surface reconstruction from uniform or non-uniform point sets is introduced. The points are typically acquired with multiple range scans of any 3D object. The proposed algorithm follows the advancing front paradigm to build the reconstructed surface employing a variable radius moving ball that expands and shrinks continuously based on the sampling density. Starting with a user-specified initial radius, this initial ball may touch three points without containing any other point forming a seed triangle. For any edge, another point is found to form a ball with minimum radius generating another triangle. The process continues until generating all possible edges. The algorithm is theoretically proved under certain sampling criteria on the input data set. The proposed algorithm was applied on different datasets and compared favorably with the most eminent techniques. The key issues for comparisons were the reconstructed surface quality, the memory usage and the execution time. The present algorithm bested others in treating non uniform samples, samples with sharp edges and samples with small holes
非均匀点集自适应曲面重建
本文提出了一种基于均匀点集和非均匀点集的曲面重构算法。这些点通常是通过对任何3D物体进行多次范围扫描获得的。该算法遵循推进前沿范式,利用可变半径的移动球,根据采样密度不断膨胀和收缩,构建重构曲面。从用户指定的初始半径开始,这个初始球可以接触三个点,而不包含任何其他点,形成种子三角形。对于任意一条边,找到另一个点形成一个半径最小的球,生成另一个三角形。这个过程一直持续到生成所有可能的边。在一定的输入数据集采样条件下,对该算法进行了理论验证。该算法应用于不同的数据集,并与最著名的技术进行了比较。比较的关键问题是重构表面质量、内存使用和执行时间。该算法在处理非均匀样本、尖锐边缘样本和小孔样本方面优于其他算法
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