arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.01918cs.CV
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几何数据的图形信号处理及其应用

Graph Signal Processing for Geometric Data and Beyond: Theory and Applications

Wangxuan Institute of Computer Technology, Peking University(北京大学王选计算机研究所);InterDigital(InterDigital公司);Harbin Institute of Technology(哈尔滨工业大学);National Tsing Hua University(国立清华大学);Industrial Technology Research Institute(工业技术研究院);Mitsubishi Electric Research Laboratories(三菱电机研究实验室)

Wei Hu, Jiahao Pang, Xianming Liu, Dong Tian, Chia-Wen Lin, Anthony Vetro

摘要:

从真实世界场景获取的几何数据,例如,2D深度图像、3D点云和4D动态点云已经找到了广泛的应用,包括沉浸式远程呈现、自动驾驶、监控等。由于大多数几何数据的不规则采样模式,传统的图像/视频处理方法受到限制,而图形信号处理(GSP)--信号处理界的一个快速发展的领域--能够处理驻留在不规则域上的信号,并在几何数据从低级处理到高级分析的众多应用中发挥关键作用。为了进一步推进这一领域的研究,我们提供了第一个及时和全面的概述GSP方法几何数据在一个统一的方式,通过桥接几何数据和图形之间的连接,在各种几何数据形态,并与光谱/节点图过滤技术。我们还讨论了最近发展的图神经网络(GNNs),并解释这些网络的操作从GSP的角度。最后,我们简要讨论了开放的问题和挑战。

英文摘要:

Geometric data acquired from real-world scenes, e.g., 2D depth images, 3D point clouds, and 4D dynamic point clouds, have found a wide range of applications including immersive telepresence, autonomous driving, surveillance, etc. Due to irregular sampling patterns of most geometric data, traditional image/video processing methodologies are limited, while Graph Signal Processing (GSP) -- a fast-developing field in the signal processing community -- enables processing signals that reside on irregular domains and plays a critical role in numerous applications of geometric data from low-level processing to high-level analysis. To further advance the research in this field, we provide the first timely and comprehensive overview of GSP methodologies for geometric data in a unified manner by bridging the connections between geometric data and graphs, among the various geometric data modalities, and with spectral/nodal graph filtering techniques. We also discuss the recently developed Graph Neural Networks (GNNs) and interpret the operation of these networks from the perspective of GSP. We conclude with a brief discussion of open problems and challenges.

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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