arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.02384eess.SPcs.CV
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三维点云的超图谱分析与处理

Hypergraph Spectral Analysis and Processing in 3D Point Cloud

Songyang Zhang, Shuguang Cui, Zhi Ding

摘要:

随着虚拟现实应用的日益普及,三维(3D)点云已成为表征3D对象和环境的基本数据结构。为了有效地处理3D点云,底层结构和离群噪声的合适模型总是至关重要的。在这项工作中,我们提出了一个超图为基础的新的点云模型,是服从高效的分析和处理。我们引入基于张量的方法来估计超图的频谱成分和频率系数的点云在理想和噪声设置。我们建立了超图频率和结构特征之间的分析联系。我们进一步评估超图谱估计在采样和去噪两个常见点云应用中的功效,为此我们还详细说明了具体的超图滤波器设计和谱特性。经验表现证明了超图信号处理作为3D点云工具的强度和基本属性。

英文摘要:

Along with increasingly popular virtual reality applications, the three-dimensional (3D) point cloud has become a fundamental data structure to characterize 3D objects and surroundings. To process 3D point clouds efficiently, a suitable model for the underlying structure and outlier noises is always critical. In this work, we propose a hypergraph-based new point cloud model that is amenable to efficient analysis and processing. We introduce tensor-based methods to estimate hypergraph spectrum components and frequency coefficients of point clouds in both ideal and noisy settings. We establish an analytical connection between hypergraph frequencies and structural features. We further evaluate the efficacy of hypergraph spectrum estimation in two common point cloud applications of sampling and denoising for which also we elaborate specific hypergraph filter design and spectral properties. The empirical performance demonstrates the strength of hypergraph signal processing as a tool in 3D point clouds and the underlying properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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