Abstract: Point cloud classification is critical for three-dimensional scene understanding.
However, in real-world scenarios, depth cameras often capture partial, single-view point clouds of objects
with different poses, making their accurate classification a challenge. In this paper, we propose a novel point cloud
classification network that captures the detailed spatial structure of objects by constructing tetrahedra, which is
different from point-wise operations. Specifically, we propose a RISpaNet block to extract rotation-invariant features.
A rotation-invariant property generation module is designed in RISpaNet for constructing rotation-invariant tetrahedron
properties (RITPs). Meanwhile, a multi-scale pooling module and a hybrid encoder are used to process RITPs to generate integrated
rotation-invariant features. Further, for single-view point clouds, a complete point cloud auxiliary branch and a part-whole
correlation module are jointly employed to obtain complete point cloud features from partial point clouds. Experimental results
show that this network performs better than other state-of-the-art methods, evaluated on four public datasets. We achieved an
overall accuracy of 94.7\% (+2.0\%) on ModelNet40, 93.4\% (+5.9\%) on MVP, 94.7\% (+6.3\%) on PCN and 94.8\% (+1.7\%) on ScanObjectNN.