TFDM: Time-Variant Frequency-Based Point Cloud Diffusion with Mamba

Jiaxu Liu, Li Li, Hubert P. H. Shum and Toby P. Breckon
arXiv Preprint, 2025

TFDM: Time-Variant Frequency-Based Point Cloud Diffusion with Mamba

Abstract

Diffusion models currently demonstrate impressive performance over various generative tasks. Recent work on image diffusion highlights the strong capabilities of Mamba (state space models) due to its efficient handling of long-range dependencies and sequential data modeling. Unfortunately, joint consideration of state space models with 3D point cloud generation remains limited. To harness the powerful capabilities of the Mamba model for 3D point cloud generation, we propose a novel diffusion framework containing dual latent Mamba block (DM-Block) and a time-variant frequency encoder (TF-Encoder). The DM-Block apply a space-filling curve to reorder points into sequences suitable for Mamba state-space modeling, while operating in a latent space to mitigate the computational overhead that arises from direct 3D data processing. Meanwhile, the TF-Encoder takes advantage of the ability of the diffusion model to refine fine details in later recovery stages by prioritizing key points within the U-Net architecture. This frequency-based mechanism ensures enhanced detail quality in the final stages of generation. Experimental results on the ShapeNet-v2 dataset demonstrate that our method achieves state-of-the-art performance (ShapeNet-v2: 0.14\% on 1-NNA-Abs50 EMD and 57.90\% on COV EMD) on certain metrics for specific categories while reducing computational parameters and inference time by up to 10x and 9x, respectively. Source code is available in Supplementary Materials and will be released upon accpetance.


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Plain Text

Jiaxu Liu, Li Li, Hubert P. H. Shum and Toby P. Breckon, "TFDM: Time-Variant Frequency-Based Point Cloud Diffusion with Mamba," arXiv preprint arXiv:2503.13004, 2025.

BibTeX

@article{liu24tfdm,
 author={Liu, Jiaxu and Li, Li and Shum, Hubert P. H. and Breckon, Toby P.},
 journal={arXiv},
 title={TFDM: Time-Variant Frequency-Based Point Cloud Diffusion with Mamba},
 year={2025},
 numpages={10},
 eprint={arXiv:2503.13004},
 archivePrefix={arXiv},
 primaryClass={cs.CV},
 doi={10.48550/arXiv.2503.13004},
 url={https://arxiv.org/abs/2503.13004},
}

RIS

TY  - Preprint
AU  - Liu, Jiaxu
AU  - Li, Li
AU  - Shum, Hubert P. H.
AU  - Breckon, Toby P.
JO  - arXiv preprints
SP  - arXiv:2503.13004
KW  - cs.CV
TI  - TFDM: Time-Variant Frequency-Based Point Cloud Diffusion with Mamba
PY  - 2025
DO  - 10.48550/arXiv.2503.13004
ER  - 


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