Abstract

Generally, there are mainly two methods to solve the image restoration task in low-level computer vision, i.e., the model-based optimization method and the discriminative learning method. However, these two methods have clear advantages and disadvantages. For example, it is flexible for the model-based optimization method to handle different problems, but large quantity of computing time is required for better performance. The discriminative learning approach has high computing efficiency, but the application scope is seriously limited by the fixed training model. It would be better to combine the advantages of these two methods. Luckily, with the variable splitting techniques, we insert the trained convolutional neural network (CNN) for denoising as one model to the model-based optimization method to solve other image restoration problems (e.g., deblurring and super-resolution). Final experimental results show that our denoising network is able to provide strong prior information for image restoration tasks. The image restoration effects can reach or approximate the most advanced algorithm in such three tasks as denoising, deblurring, and super-resolution. Moreover, the algorithm proposed in this paper is also the most competitive in terms of computational efficiency.

Highlights

  • Image restoration is one interesting issue in low-level computer vision [1,2,3]

  • The results show that the proposed image restoration method based on depth convolutional neural network (CNN) denoising prior can perform super-resolution on degraded images only by adjusting fuzzy kernel and scale factor without training, while SRCNN, VDSR, and LapSRN need additional training to deal with these situations

  • A series of Gaussian denoisers are obtained through CNN learning, and the denoisers are integrated as modules into the model-based optimization method by combining variable splitting techniques, which greatly improves the flexibility of discriminative learning method in solving different image restoration problems

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Summary

Introduction

Image restoration is one interesting issue in low-level computer vision [1,2,3]. Image restoration is to restore the potential clean images from the degraded observation images. Loading of different degradation matrices for the clean images forms the image restoration issue to be solved. Since image restoration is one ill-posed problem with numerous solutions, a prior (or regularization) method is required to restrain the solution space [4, 5]. X = arg max log pðy ∣ xÞ + log pðxÞ, ð1Þ x where pðy ∣ xÞ represents likelihood probability and pðxÞ represents the prior probability of the clear image and is irrelevant to the degraded image.

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