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This paper presents PSI3D, a scalable inference framework that leverages 2D latent diffusion models to reconstruct massive 3D volumes via slice-wise Markov chain Monte Carlo sampling. By integrating stochastic total variation regularization across slices, the method effectively addresses inter-slice consistency challenges in high-dimensional scientific imaging tasks like OCT super-resolution. The approach demonstrates significant performance gains over traditional and learning-based baselines for handling large-scale data where standard diffusion models typically fail due to computational constraints.
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PSI3D: Plug-and-Play 3D Stochastic Inference with Slice-wise Latent Diffusion Prior

arXiv2 min read

arXiv:2512.18367v2 Announce Type: replace-cross Abstract: Diffusion models are highly expressive image priors for Bayesian inverse problems. However, most diffusion models cannot operate on large-scale, high-dimensional data due to high training and inference costs. In this work, we introduce a Plug-and-play algorithm for 3D stochastic inference with latent diffusion prior (PSI3D) to address massive ($1024\times 1024\times 128$) volumes. Specifically, we formulate a Markov chain Monte Carlo approach to reconstruct each two-dimensional (2D) slice by sampling from a 2D latent diffusion model. To enhance inter-slice consistency, we also incorporate total variation (TV) regularization stochastically along the concatenation axis. We evaluate our performance on optical coherence tomography (OCT) super-resolution. Our method significantly improves reconstruction quality for large-scale scientific imaging compared to traditional and learning-based baselines, while providing robust and credible reconstructions.

Abstract:Diffusion models are highly expressive image priors for Bayesian inverse problems. However, most diffusion models cannot operate on large-scale, high-dimensional data due to high training and inference costs. In this work, we introduce a Plug-and-play algorithm for 3D stochastic inference with latent diffusion prior (PSI3D) to address massive ($1024\times 1024\times 128$) volumes. Specifically, we formulate a Markov chain Monte Carlo approach to reconstruct each two-dimensional (2D) slice by sampling from a 2D latent diffusion model. To enhance inter-slice consistency, we also incorporate total variation (TV) regularization stochastically along the concatenation axis. We evaluate our performance on optical coherence tomography (OCT) super-resolution. Our method significantly improves reconstruction quality for large-scale scientific imaging compared to traditional and learning-based baselines, while providing robust and credible reconstructions.

Image and Video Processing (eess.IV); Machine Learning (cs.LG)

arXiv:2512.18367 [eess.IV]

(or arXiv:2512.18367v2 [eess.IV] for this version)

https://doi.org/10.48550/arXiv.2512.18367 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 220 words

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