arXiv Machine Learning

Bayesian methods and Markov chain Monte Carlo algorithms for curve reconstruction and point cloud data analysis

The paper presents a fully Bayesian framework for reconstructing closed curves from point‑cloud data, treating observed points as noisy perturbations of latent locations constrained to lie on an underlying curve. A non‑parametric prior regularizes the curve, and posterior inference is performed with Markov chain Monte Carlo samplers designed for point‑cloud characteristics. Experiments on synthetic and real LiDAR datasets demonstrate accurate reconstructions and quantified uncertainty over the recovered curves.

arXiv Computer Vision
Sep 23

Point Diffusion Mamba: Unified Diffusion-State-Space Modeling for Single-View 3D Reconstruction under Data Scarcity

Point Diffusion Mamba (PDM) is a new method that fuses diffusion models with state‑space modeling to perform single‑view 3D reconstruction when training data are scarce. It uses a lightweight reconstruction module for unordered point‑clouds, a Local Geometric Aggregation module combined with Mamba blocks to capture both global geometry and local detail, and a Hierarchical Feature Integration Network to merge high‑level semantic and local geometric features for each point. A Dynamic Weighted Sampling strategy further improves reconstruction quality by integrating generative priors, and experiments on ShapeNet and Pix3D show that PDM outperforms existing state‑of‑the‑art approaches.

By Wei Zhou, Xinzhe Shi, Xingxing Hao, Xing Hao, Kang Li, Jinye Peng, Ying He
arXiv Computer Vision
Sep 15

Closed-form Bayesian homography estimation from noisy point correspondences

The paper introduces a fast Bayesian method for estimating homographies from noisy point correspondences, providing a posterior distribution over the homography parameters. A closed‑form solution for the posterior mean in homogeneous coordinates is derived, complemented by an iterative Bayesian approach to address non‑linearities. Experiments on synthetic data and real image stitching show improved accuracy over DLT and supply uncertainty estimates for the homography.

By Hanne Beuter, Sebastian Dorn
arXiv Computer Vision
Sep 23

Leveraging Vision-Based Point Cloud Map Priors for Camera-Based 3D Object Detection and Online Vectorized HD Mapping

The paper presents a framework that builds a static point cloud prior map from past camera traversals, augmenting each point with DINOv3 semantic features. During runtime, a local prior patch is retrieved, encoded with a sparse voxel backbone, and fused with lifted multi‑view camera features in bird’s‑eye view. This fused representation is then used by sparse transformer heads to predict 3D objects and vectorized map elements, achieving improved performance on Argoverse 2 without requiring LiDAR for prior‑map construction or online inference.

By Markus K\"appeler, Rohit Mohan, Abhinav Valada
Hugging Face Trending Papers
Sep 10

ReconPlusGen: Injecting Reconstruction Prior into Multi-view 3D Generation through Noise Inversion and Modulation

The paper introduces ReconPlusGen, a method that injects a reconstruction prior into multi‑view 3D generation. It predicts a point cloud in canonical space from multiple input images, then deterministically injects this geometry into a diffusion process via noise inversion and modulates the noise to maintain generative flexibility for completing unseen areas and refining visible geometry. Qualitative results show reconstruction on benchmark and real‑world images, along with an illustration of the reconstruction‑guided noise initialization and modulation.

arXiv Computer Vision
Sep 11

ReconPlusGen: Injecting Reconstruction Prior into Multi-view 3D Generation through Noise Inversion and Modulation

ReconPlusGen introduces a method that injects a reconstruction prior into multi‑view 3D generation. By predicting a point cloud in canonical space from multiple input images, the method deterministically injects the geometry into a diffusion process via noise inversion and then modulates the noise to maintain generative flexibility for completing unseen areas and refining visible geometry. The paper presents qualitative results on benchmark and real‑world images, along with an illustration of the reconstruction‑guided noise initialization and modulation.

By Jiarui Liu, Heng Li, Weiyu Li, Keng Deng, Junyuan Deng, Zheng Zhongxing, Junyu Huang, Jiahao Chang, Xiaoguang Han, Ping Tan