Evidence Alignment and Transfer Boundaries in 3D Point-Cloud Learning And Road-Scene Geometry: Hierarchical Spatial Mamba Framework and WaveSamba Wavelet Transform SSM
PDF

Keywords

3D Point-Cloud Learning And Road-Scene Geometry
Neighborhood Construction
Hierarchy
State-Space Mixing
Sampling Robustness
Efficiency

Abstract

Progress in 3D point-cloud learning and road-scene geometry depends on more than accumulating favorable results. This critical synthesis connects hierarchical spatial state-space aggregation for point-cloud classification with a wavelet-transform state-space decoder for zero-shot depth estimation and asks how measurement choices, boundary conditions, and decision costs shape the interpretation of both. Two target papers are triangulated against 12 locally validated publications. The comparison follows neighborhood construction, hierarchy, state-space mixing, sampling robustness, efficiency and deliberately separates mechanistic interpretation from performance ranking, because the latter can conceal incompatible experimental or operational conditions. Across the evidence base, the decisive issue is alignment: neighborhood construction shapes what is observed, hierarchy shapes how it is compared, and efficiency governs whether the conclusion can be transferred. Uncertainty is most informative when reported as part of the result rather than treated as a postscript. The contribution is a decision-oriented synthesis that connects method selection to failure cost and treats reproducibility, provenance, and bounded generalization as first-order design requirements.

PDF

References

Sun, Y., Zia, A., Long, Z., Qiu, Z., Xiang, W., & Zhou, J. (2025). Hierarchical Spatial Mamba Framework for Point Cloud Classification. In Pattern Recognition and Computer Vision (pp. 402-417). Springer.

Hou, B., & Long, Z. (2024). WaveSamba: A Wavelet Transform SSM Zero-Shot Depth Estimation Decoder. In 2024 International Conference on Digital Image Computing: Techniques and Applications (DICTA) (pp. 738-744). IEEE.

Zhang, T., Yuan, H., Qi, L., Zhang, J., Zhou, Q., Ji, S., et al. (2025). Point Cloud Mamba: Point Cloud Learning via State Space Model. Proceedings of the AAAI Conference on Artificial Intelligence, 39(10), 10121-10130. https://doi.org/10.1609/aaai.v39i10.33098

Tan, J., Li, J., An, X., & He, H. (2014). Robust Curb Detection with Fusion of 3D-Lidar and Camera Data. Sensors, 14(5), 9046-9073. https://doi.org/10.3390/s140509046

Song, S., Tang, K., & Zhang, Y. (2025). PST-Mamba: Spatio-temporal selective state fusion for effective point cloud video understanding with state space models. Image and Vision Computing, 163, 105785. https://doi.org/10.1016/j.imavis.2025.105785

Liu, J., Yue, S., Hao, W., & Cai, Y. (2026). MF-BEVFusion: multiscale depth estimation and fully dynamic fusion for camera-LiDAR BEV 3D object detection. Journal of Electronic Imaging, 35(02). https://doi.org/10.1117/1.jei.35.2.023009

Zhou, Z., Wang, Q., & Zhou, X. (2026). MSHI-Mamba: A Multi-Stage Hierarchical Interaction Model for 3D Point Clouds Based on Mamba. Applied Sciences, 16(3), 1189. https://doi.org/10.3390/app16031189

Bong, E. J., & Kee, S. C. (2026). Dense Depth Map Estimation Based on Camera–LiDAR Sensor Fusion. IEEE Sensors Journal, 26(4), 5891-5901. https://doi.org/10.1109/jsen.2025.3649237

Wang, G., Zhang, X., Peng, Z., Zhang, T., & Jiao, L. (2025). S 2 Mamba: A Spatial–Spectral State Space Model for Hyperspectral Image Classification. IEEE Transactions on Geoscience and Remote Sensing, 63, 1-13. https://doi.org/10.1109/tgrs.2025.3530993

Rao, R., Ouyang, Z., Chen, S., Chen, L., Huang, G., & Cui, C. (2026). Zero-Shot Polarization-Intensity Physical Fusion Monocular Depth Estimation for High Dynamic Range Scenes. Photonics, 13(3), 268. https://doi.org/10.3390/photonics13030268

Liao, J., & Wang, L. (2026). SSA-Mamba: Spatial-Spectral Attentive State Space Model for Hyperspectral Image Classification. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 19, 6403-6424. https://doi.org/10.1109/jstars.2026.3654346

Ji, M., Yang, J., & Zhang, S. (2026). DepthFusion: Depth-Aware Hybrid Feature Fusion for LiDAR-Camera 3D Object Detection. IEEE Transactions on Multimedia, 28, 7217-7227. https://doi.org/10.1109/tmm.2026.3668596

Xi, G., Wang, C., Liu, X., Xiao, B., & Wei, X. (2026). Sparse Point Cloud Classification Method Based on MSE-Mamba. Electronics, 15(14), 3087. https://doi.org/10.3390/electronics15143087

Obando-Ceron, J. S., Romero-Cano, V., & Monteiro, S. (2023). Probabilistic multi-modal depth estimation based on camera–LiDAR sensor fusion. Machine Vision and Applications, 34(5). https://doi.org/10.1007/s00138-023-01426-x