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The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
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Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
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FourierSR: A Fourier Token-Based Plugin for Efficient Image Super-Resolution.

Wenjie Li, Heng Guo, Yuefeng Hou

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |January 15, 2026
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    Summary
    This summary is machine-generated.

    FourierSR enhances image super-resolution (SR) efficiency by using Fourier transforms. This novel plugin improves existing SR methods with minimal computational cost and parameter increase.

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    Area of Science:

    • Computer Vision
    • Image Processing
    • Deep Learning

    Background:

    • Image super-resolution (SR) aims to reconstruct high-resolution images from low-resolution inputs.
    • Current SR methods using convolutions or window-based Transformers face limitations due to restricted receptive fields, hindering efficiency under computational constraints.

    Purpose of the Study:

    • To develop an efficient SR plugin that overcomes the limitations of existing receptive field methods.
    • To introduce a novel approach for improving SR performance with global receptive fields and reduced complexity.

    Main Methods:

    • Proposed FourierSR, a Fourier token-based plugin inspired by the convolution theorem.
    • Utilized Fourier transform and multiplication operations, avoiding complex token mixing techniques.
    • Integrated FourierSR as a plugin into existing efficient SR models.

    Main Results:

    • FourierSR achieved an average PSNR gain of 0.34dB on the Manga109 dataset at 4x scale.
    • The plugin introduced minimal overhead, with only a 0.6% increase in parameters and 1.5% in FLOPs.
    • Demonstrated improved SR efficiency and performance across various existing SR methods.

    Conclusions:

    • FourierSR offers an effective and efficient solution for image super-resolution.
    • The plugin's global receptive field and low computational complexity make it suitable for resource-constrained SR tasks.
    • FourierSR uniformly improves SR performance without the instability or inefficiency of other plugin methods.