Probabilistic modeling and inference for sequential space-varying blur identification

Yunshi Huang, Emilie Chouzenoux, Victor Elvira

Research output: Contribution to journalArticlepeer-review


The identification of parameters of spatially variant blurs given a clean image and its blurry noisy version is a challenging inverse problem of interest in many application fields, such as biological microscopy and astronomical imaging. In this paper, we consider a parametric model of the blur and introduce an 1D state-space model to describe the statistical dependence among the neighboring kernels. We apply a Bayesian approach to estimate the posterior distribution of the kernel parameters given the available data. Since this posterior is intractable for most realistic models, we propose to approximate it through a sequential Monte Carlo approach by processing all data in a sequential and efficient manner. Additionally, we propose a new sampling method to alleviate the particle degeneracy problem, which is present in approximate Bayesian filtering, particularly in challenging concentrated posterior distributions. The considered method allows us to process sequentially image patches at a reasonable computational and memory costs. Moreover, the probabilistic approach we adopt in this paper provides uncertainty quantification which is useful for image restoration. The practical experimental results illustrate the improved estimation performance of our novel approach, demonstrating also the benefits of exploiting the spatial structure the parametric blurs in the considered models.
Original languageEnglish
Pages (from-to)531 - 546
Number of pages16
JournalIEEE Transactions on Computational Imaging
Publication statusPublished - 18 May 2021


Dive into the research topics of 'Probabilistic modeling and inference for sequential space-varying blur identification'. Together they form a unique fingerprint.

Cite this