Abstract

Atmospheric turbulence significantly degrades image quality. A blind image deblurring algorithm is needed, and a favorable image prior is the key to solving this problem. However, the general sparse priors support blurry images instead of explicit images, so the details of the restored images are lost. The recently developed priors are non-convex, resulting in complex and heuristic optimization. To handle these problems, we first propose a convex image prior; namely, maximizing L1 regularization (ML1). Benefiting from the symmetrybetween ML1 and L1 regularization, the ML1 supports clear images and preserves the image edges better. Then, a novel soft suppression strategy is designed for the deblurring algorithm to inhibit artifacts. A coarse-to-fine scheme and a non-blind algorithm are also constructed. For qualitative comparison, a turbulent blur dataset is built. Experiments on this dataset and real images demonstrate that the proposed method is superior to other state-of-the-art methods in blindly recovering turbulent images.

Highlights

  • As an essential tool for improving image quality, image deblurring has received considerable attention

  • maximizing L1 regularization (ML1) prior, we propose a deblurring algorithm with a soft suppression strategy, termed suppressed projected alternating minimization (SPAM). (3) To assess the effectiveness of the proposed method, we build a turbulent blur images dataset

  • We proposed a maximizing L1 regularization prior, which is motivated by effectively supporting sharp latent images instead of turbulence blurry images

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Summary

Introduction

As an essential tool for improving image quality, image deblurring has received considerable attention. Blind image deblurring involves estimating a latent sharp image o and a blur kernel h, with a blurry input image g. The blurring process is modeled as: g = o∗h+n (1). Where ∗ represents the convolution operator and n denotes the additional noise. Involving an infinite number of solutions, this problem is strongly ill-posed. To regularize Problem (1), various image priors [1,2,3,4,5,6,7,8,9,10] have been proposed. The simplest is a Gaussian prior based on the natural image obeying a Gaussian distribution [1,2]

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