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Zero-Shot Image Restoration Using Denoising Diffusion Null-Space Model (2212.00490v2)

Published 1 Dec 2022 in cs.CV

Abstract: Most existing Image Restoration (IR) models are task-specific, which can not be generalized to different degradation operators. In this work, we propose the Denoising Diffusion Null-Space Model (DDNM), a novel zero-shot framework for arbitrary linear IR problems, including but not limited to image super-resolution, colorization, inpainting, compressed sensing, and deblurring. DDNM only needs a pre-trained off-the-shelf diffusion model as the generative prior, without any extra training or network modifications. By refining only the null-space contents during the reverse diffusion process, we can yield diverse results satisfying both data consistency and realness. We further propose an enhanced and robust version, dubbed DDNM+, to support noisy restoration and improve restoration quality for hard tasks. Our experiments on several IR tasks reveal that DDNM outperforms other state-of-the-art zero-shot IR methods. We also demonstrate that DDNM+ can solve complex real-world applications, e.g., old photo restoration.

Citations (330)

Summary

  • The paper introduces the DDNM framework, leveraging pre-trained diffusion models to perform zero-shot restoration on various image degradation tasks.
  • It refines null-space contents in the reverse diffusion process to generate realistic images while ensuring strict data consistency.
  • The enhanced DDNM+ employs scalable range-space correction and a time-travel trick to robustly address noisy and complex restoration challenges.

Zero-Shot Image Restoration via Denoising Diffusion Null-Space Model

The paper addresses the critical challenge in image restoration (IR), where existing models predominantly exhibit task-specific designs unable to accommodate diverse degradation operators. To overcome this limitation, the authors introduce the Denoising Diffusion Null-Space Model (DDNM), a novel framework allowing zero-shot restoration across various linear IR tasks such as super-resolution, colorization, inpainting, compressed sensing, and deblurring. DDNM uniquely leverages a pre-trained diffusion model to serve as a generative prior, eliminating the need for additional training or network modifications.

The primary innovation of DDNM lies in refining the null-space contents within the reverse diffusion process. This enables the generation of realistic images while satisfying data consistency constraints. The theoretical underpinning is rooted in the Range-Null Space decomposition, where the data consistency is solely contingent on the range-space contents, computable analytically. Thus, the focus on generating appropriate null-space contents ensures the resultant image remains realistic.

Further enhancing the model's capabilities, the paper introduces DDNM+^+, a robust extension designed to manage noise-afflicted restorations and improve quality in demanding tasks. DDNM+^+ incorporates additional features, namely, scalable range-space correction and a novel time-travel trick. These innovations enable the model to accommodate noisy images and enhance restoration quality by iterating over time-steps to ensure harmonious synthesis.

Empirical evaluative results indicate that DDNM outperforms state-of-the-art zero-shot IR methods on tasks involving super-resolution, colorization, compressed sensing, inpainting, and deblurring. The enhanced version, DDNM+^+, demonstrates efficacy in handling complex real-world applications, such as old photo restoration.

Theoretical and Practical Implications

The theoretical contribution of DDNM lies in the presentation of a unified framework that serves linear IR tasks without specific task-oriented customization, propelled by the fast-evolving domain of diffusion models. This marks a significant advance by abstracting complex IR tasks into a generalizable schema applicable to various linear degradation formats.

From a practical standpoint, the flexibility of DDNM offers significant potential in real-world applications. The model's ability to tackle composite degradations while maintaining domain robustness underscores its practical relevance for applications in which diverse degradations exist, such as historical photo restoration or images subject to multi-faceted noise types.

Speculation on Future Developments

Though the current work focuses on linear degradation, potential extensions could explore non-linear models and broader AI integration, given the framework's versatility. The robustness and adaptability of diffusion models provide fertile ground for advancements in more complex degradation processes. Future research could investigate employing DDNM paradigms in concert with other generative models, such as GANs, to explore hybrid solutions that leverage the strengths of both architectures.

Moreover, the time-travel trick introduced in DDNM+^+ unveils a new dimension for iterative synthesis refinement, highlighting possibilities for future AI systems able to self-correct via iterative forward and backward passes. This could form the basis for newer methodologies in not only image restoration but also in domains like temporal sequence modeling or predictive analytics.

In summary, the Denoising Diffusion Null-Space Model constitutes a robust framework addressing the longstanding problem of task specificity in image restoration. Without additional training or network modifications, its application spans various linear IR tasks, pointing the way to more flexible, adaptable image restoration methodologies within AI research.

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