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wavelet transform

A wavelet transform is a mathematical technique used in signal and image processing that decomposes data into localized, wave-like oscillations called wavelets. Unlike the traditional Fourier transform, which only captures frequency content across an entire signal, the wavelet transform provides both frequency and temporal or spatial localization simultaneously. By shifting and scaling a foundational mother wavelet across an input, it performs multi-resolution analysis, allowing rapid variations and high-frequency components to be isolated with precise localization while representing low-frequency trends across broader intervals. This simultaneous resolution makes the wavelet transform widely applicable for tasks such as data compression, noise reduction, feature extraction, and image restoration.

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Dual-Domain Attention for Image Deblurring

Dual-Domain Attention for Image Deblurring

Yuning Cui, Yi Tao, Wenqi Ren, Alois Knoll

OrganizationsMassachusetts Institute of TechnologySun Yat-sen UniversityTechnical University of Munich

Why you should read this

Proposes a dual-domain attention network that pairs dynamic group convolution for localized spatial self-attention with a lightweight frequency-decoupling module, achieving state-of-the-art image deblurring quality with substantially faster inference speeds.

As a long-standing and challenging task, image deblurring aims to reconstruct the latent sharp image from its degraded counterpart. In this study, to bridge the gaps between degraded/sharp image pairs in the spatial and frequency domains simultaneously, we develop the dual-domain attention mechanism for image deblurring. Self-attention is widely used in vision tasks, however, due to the quadratic complexity, it is not applicable to image deblurring with high-resolution images. To alleviate this issue, we propose a novel spatial attention module by implementing self-attention in the style of dynamic group convolution for integrating information from the local region, enhancing the representation learning capability and reducing computational burden. Regarding frequency domain learning, many frequency-based deblurring approaches either treat the spectrum as a whole or decompose frequency components in a complicated manner. In this work, we devise a frequency attention module to compactly decouple the spectrum into distinct frequency parts and accentuate the informative part with extremely lightweight learnable parameters. Finally, we incorporate attention modules into a U-shaped network. Extensive comparisons with prior arts on the common benchmarks show that our model, named Dual-Domain Attention Network (DDANet), obtains comparable results with a significantly improved inference speed.

Added

2026-09-26