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Spectral-Structured Diffusion for Single-Image Rain Removal

arXiv cs.CV / 3/11/2026

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Key Points

  • The paper addresses the challenging problem of single-image rain removal by focusing on the directional and frequency-concentrated nature of rain streaks that overlap across scales.
  • It proposes SpectralDiff, a spectral-structured diffusion framework that introduces structured spectral perturbations into the diffusion process to progressively suppress multi-directional rain components.
  • A novel full-product U-Net architecture is introduced, replacing traditional convolution operations with element-wise product layers inspired by the convolution theorem, enhancing computational efficiency without sacrificing modeling performance.
  • Extensive experiments on both synthetic and real-world datasets show that SpectralDiff achieves competitive rain removal results with more compact models and faster inference compared to prior diffusion-based methods.

Computer Science > Computer Vision and Pattern Recognition

arXiv:2603.09054 (cs)
[Submitted on 10 Mar 2026]

Title:Spectral-Structured Diffusion for Single-Image Rain Removal

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Abstract:Rain streaks manifest as directional and frequency-concentrated structures that overlap across multiple scales, making single-image rain removal particularly challenging. While diffusion-based restoration models provide a powerful framework for progressive denoising, standard spatial-domain diffusion does not explicitly account for such structured spectral characteristics. We introduce SpectralDiff, a spectral-structured diffusion-based framework tailored for single-image rain removal. Rather than redefining the diffusion formulation, our method incorporates structured spectral perturbations to guide the progressive suppression of multi-directional rain components. To support this design, we further propose a full-product U-Net architecture that leverages the convolution theorem to replace convolution operations with element-wise product layers, improving computational efficiency while preserving modeling capacity. Extensive experiments on synthetic and real-world benchmarks demonstrate that SpectralDiff achieves competitive rain removal performance with improved model compactness and favorable inference efficiency compared to existing diffusion-based approaches.
Comments:
Subjects: Computer Vision and Pattern Recognition (cs.CV)
Cite as: arXiv:2603.09054 [cs.CV]
  (or arXiv:2603.09054v1 [cs.CV] for this version)
  https://doi.org/10.48550/arXiv.2603.09054
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arXiv-issued DOI via DataCite

Submission history

From: Yucheng Xing [view email]
[v1] Tue, 10 Mar 2026 00:53:47 UTC (3,804 KB)
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