论文标题
通过解耦卷积增强3D点云的本地几何学习
Enhancing Local Geometry Learning for 3D Point Cloud via Decoupling Convolution
论文作者
论文摘要
由于缺乏连接性信息,对局部表面几何形状进行建模在3D点云的理解中具有挑战性。大多数先前的作品使用各种卷积操作模拟本地几何形状。我们观察到,卷积可以等效地分解为局部和全球成分的加权组合。通过这种观察,我们明确地将这两个组件解散了,以便可以增强局部的组件并促进局部表面几何形状的学习。具体而言,我们提出了Laplacian单元(LU),这是一个简单而有效的建筑单元,可以增强局部几何学的学习。广泛的实验表明,配备LU的网络在典型的云理解任务上实现了竞争性或卓越的性能。此外,通过建立平均曲率流之间的连接,对LU进行了进一步研究,以解释LU的自适应平滑和锐化效果。代码将可用。
Modeling the local surface geometry is challenging in 3D point cloud understanding due to the lack of connectivity information. Most prior works model local geometry using various convolution operations. We observe that the convolution can be equivalently decomposed as a weighted combination of a local and a global component. With this observation, we explicitly decouple these two components so that the local one can be enhanced and facilitate the learning of local surface geometry. Specifically, we propose Laplacian Unit (LU), a simple yet effective architectural unit that can enhance the learning of local geometry. Extensive experiments demonstrate that networks equipped with LUs achieve competitive or superior performance on typical point cloud understanding tasks. Moreover, through establishing connections between the mean curvature flow, a further investigation of LU based on curvatures is made to interpret the adaptive smoothing and sharpening effect of LU. The code will be available.