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Deep Plug-and-Play Super-Resolution for Arbitrary Blur Kernels (1903.12529v1)

Published 29 Mar 2019 in cs.CV

Abstract: While deep neural networks (DNN) based single image super-resolution (SISR) methods are rapidly gaining popularity, they are mainly designed for the widely-used bicubic degradation, and there still remains the fundamental challenge for them to super-resolve low-resolution (LR) image with arbitrary blur kernels. In the meanwhile, plug-and-play image restoration has been recognized with high flexibility due to its modular structure for easy plug-in of denoiser priors. In this paper, we propose a principled formulation and framework by extending bicubic degradation based deep SISR with the help of plug-and-play framework to handle LR images with arbitrary blur kernels. Specifically, we design a new SISR degradation model so as to take advantage of existing blind deblurring methods for blur kernel estimation. To optimize the new degradation induced energy function, we then derive a plug-and-play algorithm via variable splitting technique, which allows us to plug any super-resolver prior rather than the denoiser prior as a modular part. Quantitative and qualitative evaluations on synthetic and real LR images demonstrate that the proposed deep plug-and-play super-resolution framework is flexible and effective to deal with blurry LR images.

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Authors (3)
  1. Kai Zhang (542 papers)
  2. Wangmeng Zuo (279 papers)
  3. Lei Zhang (1689 papers)
Citations (341)

Summary

Overview of "Deep Plug-and-Play Super-Resolution for Arbitrary Blur Kernels"

The paper "Deep Plug-and-Play Super-Resolution for Arbitrary Blur Kernels," authored by Kai Zhang, Wangmeng Zuo, and Lei Zhang, introduces a sophisticated method for tackling single image super-resolution (SISR) for low-resolution images suffering from arbitrary blur kernels. This work stands out by extending beyond the conventional bicubic degradation model often employed in existing SISR methods, to accommodate more complex degradation scenarios involving arbitrary blur kernels.

Problem Statement and Motivation

Traditional SISR methods predominantly rely on the bicubic degradation model which assumes a specific, predefined downsampling and blurring process. While effective in controlled environments, this approach often struggles with real-world images where the degradation process is unknown and more variable, involving arbitrary blur kernels. Hence, there is a clear motivation to develop methods flexible enough to handle such arbitrary degradations effectively.

Proposed Methodology

The authors propose a deep plug-and-play framework that harmoniously fuses the flexibility of plug-and-play image restoration with the power of deep learning. The core contribution is the formulation of a new degradation model which assumes the low-resolution image is a result of bicubic downsampling followed by arbitrary blur and noise addition. This approach allows for the incorporation of blind deblurring techniques for estimating the blur kernel, followed by an iterative solution approach to recover the high-resolution image.

The method involves a variable splitting technique, where the problem is decoupled into two subproblems solved iteratively:

  • Estimating an intermediate image that mitigates blur distortion using a closed-form solution in the Fourier domain.
  • Super-resolving this intermediate image using a deep neural network-based super-resolver adjusted to accommodate variable noise levels.

This approach not only effectively tackles arbitrary blur kernels but also extends the capability of conventional plug-and-play methods, which are often limited to Gaussian denoisers, by allowing the use of super-resolvers as priors in its framework.

Evaluation and Results

Quantitative and qualitative evaluations demonstrate the efficacy of the proposed framework. It has been tested extensively on synthetic degraded images created with various Gaussian, motion, and disk blur kernels as well as real-world images with estimated kernels. The results indicate that the proposed method significantly outperforms conventional SISR approaches in both PSNR and SSIM metrics, lending credence to its practical applicability for real-world image super-resolution tasks.

Implications and Future Directions

The introduction of a framework capable of handling arbitrary blur kernels is a significant step forward for the field of image processing. It suggests a shift from reliance on fixed-model assumptions to more flexible, parameterized models that can adapt to diverse conditions. The robustness of image restoration in practical scenarios is projected to benefit substantially, aiding developments in fields like surveillance, medical imaging, and remote sensing, where image quality is critical.

As for future work, the paper hints at exploring end-to-end training strategies and extending the method to handle non-uniform blur kernels, which remain an open challenge. The plug-and-play flexible framework also opens avenues for incorporating other sophisticated denoising or restoration modules, potentially transforming the landscape of image super-resolution and restoration methodology.

In summary, this paper effectively addresses a critical limitation of traditional SISR methods by introducing a highly adaptable deep learning framework capable of dealing with arbitrary blur kernels, paving the way for enhanced image reconstruction in a variety of challenging real-world scenarios.