Rotation invariant point cloud analysis: Where local geometry meets global topology

•We present LGR-Net which considers local geometric features and global topology-preserving features to achieve rotation invariance.•The complementary relationship between shape descriptions and spatial attributes is adaptively exploited by an attention-based fusion module.•LGR-Net significantly outperforms state-of-the-art methods on both synthetic and real-world datasets undergoing random 3D rotations.