Patch-Based Image Restoration using Expectation Propagation

Research output: Contribution to journalArticlepeer-review

23 Downloads (Pure)


This paper presents a new Expectation Propagation (EP) framework for image restoration using patch-based prior distributions. While Monte Carlo techniques are classically used to sample from intractable posterior distributions, they can suffer from scalability issues in high-dimensional inference problems such as image restoration. To address this issue, EP is used here to approximate the posterior distributions using products of multivariate Gaussian densities. Moreover, imposing structural constraints on the covariance matrices of these densities allows for greater scalability and distributed computation. While the method is naturally suited to handle additive Gaussian observation noise, it can also be extended to non-Gaussian noise. Experiments conducted for denoising, inpainting and deconvolution problems with Gaussian and Poisson noise illustrate the potential benefits of such flexible approximate Bayesian method for uncertainty quantification in imaging problems, at a reduced computational cost compared to sampling techniques.
Original languageEnglish
JournalSIAM Journal on Imaging Sciences
Publication statusAccepted/In press - 3 Nov 2021


Dive into the research topics of 'Patch-Based Image Restoration using Expectation Propagation'. Together they form a unique fingerprint.

Cite this