{"slug": "bayesian-methods-and-markov-chain-monte-carlo-algorithms-for-curve-and-point", "title": "Bayesian methods and Markov chain Monte Carlo algorithms for curve reconstruction and point cloud data analysis", "summary": "Researchers introduced a fully Bayesian framework for reconstructing closed curves from point-cloud data, modeling observed points as noisy perturbations of latent locations on a curve regularized by a non-parametric prior, with posterior inference via tailored Markov chain Monte Carlo samplers. Numerical experiments on synthetic and real-world LiDAR datasets demonstrated accurate reconstructions and quantified uncertainty.", "body_md": "arXiv:2608.26490v1 Announce Type: new\nAbstract: Point-cloud data routinely captured by modern imaging and sensor technologies provide detailed geometric descriptions of objects and environments, but their analysis is hindered by large data volumes, localization noise, and missing information. In addition, existing point-cloud reconstruction pipelines typically return a single best-fit structure without uncertainty quantification. We introduce a fully Bayesian framework for representing point-cloud data and reconstructing closed curves, in which observed points are modeled as noisy perturbations of latent locations constrained to lie on the underlying curve that is regularized by a non-parametric prior. Posterior inference in our framework is carried out using a series of Markov chain Monte Carlo samplers tailored to point-cloud characteristics. Numerical experiments, including synthetic examples and real-world LiDAR datasets, show accurate reconstructions and quantified uncertainty over the recovered curves.", "url": "https://wpnews.pro/news/bayesian-methods-and-markov-chain-monte-carlo-algorithms-for-curve-and-point", "canonical_source": "https://arxiv.org/abs/2608.26490", "published_at": "2026-08-28 04:00:00+00:00", "updated_at": "2026-08-28 04:21:22.994700+00:00", "lang": "en", "topics": ["machine-learning", "computer-vision"], "entities": [], "alternates": {"html": "https://wpnews.pro/news/bayesian-methods-and-markov-chain-monte-carlo-algorithms-for-curve-and-point", "markdown": "https://wpnews.pro/news/bayesian-methods-and-markov-chain-monte-carlo-algorithms-for-curve-and-point.md", "text": "https://wpnews.pro/news/bayesian-methods-and-markov-chain-monte-carlo-algorithms-for-curve-and-point.txt", "jsonld": "https://wpnews.pro/news/bayesian-methods-and-markov-chain-monte-carlo-algorithms-for-curve-and-point.jsonld"}}