mlsanityData to 7 Oct 2026

Enhancing Multi-Scale Implicit Learning in Image Super-Resolution with Integrated Positional Encoding

arXiv 2112.05756 ↗First posted 10 Dec 2021eess.IV cs.CVcited by 12

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Abstract (arXiv)

Is the center position fully capable of representing a pixel? There is nothing wrong to represent pixels with their centers in a discrete image representation, but it makes more sense to consider each pixel as the aggregation of signals from a local area in an image super-resolution (SR) context. Despite the great capability of coordinate-based implicit representation in the field of arbitrary-scale image SR, this area's nature of pixels is not fully considered. To this end, we propose integrated positional encoding (IPE), extending traditional positional encoding by aggregating frequency information over the pixel area. We apply IPE to the state-of-the-art arbitrary-scale image super-resolution method: local implicit image function (LIIF), presenting IPE-LIIF. We show the effectiveness of IPE-LIIF by quantitative and qualitative evaluations, and further demonstrate the generalization ability of IPE to larger image scales and multiple implicit-based methods. Code will be released.

Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 39 of its 53 references that are in the map. First posted on arXiv 10 Dec 2021.

Builds on

39 of 53 references.

References · 39

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27 more
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Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 3; 2024: 5; 2025: 2; 2026: 2.

12 papers.

  1. 2023Cascaded Local Implicit Transformer for Arbitrary-Scale Super-Resolutioncited by 51
  2. 2023Local Implicit Normalizing Flow for Arbitrary-Scale Image Super-Resolutioncited by 34
  3. 2023Continuous Remote Sensing Image Super-Resolution based on Context Interaction in Implicit Function Spacecited by 17
  4. 2024CycleINR: Cycle Implicit Neural Representation for Arbitrary-Scale Volumetric Super-Resolution of Medical Datacited by 15
  5. 2025BF-STVSR: B-Splines and Fourier-Best Friends for High Fidelity Spatial-Temporal Video Super-Resolutioncited by 9
  6. 2024Local Implicit Wavelet Transformer for Arbitrary-Scale Super-Resolutioncited by 5
  7. 2025Scale-Invariant Adversarial Attack against Arbitrary-scale Super-resolutioncited by 3
  8. 2024Test-time Cost-and-Quality Controllable Arbitrary-Scale Super-Resolution with Variable Fourier Componentscited by 1
  9. 2024Multi-Scale Implicit Transformer with Re-parameterize for Arbitrary-Scale Super-Resolutioncited by 0
  10. 2024FreqINR: Frequency Consistency for Implicit Neural Representation with Adaptive DCT Frequency Losscited by 0
  11. 2026Fidelity- and Perception-Aware Local Implicit Attention for Arbitrary-Scale Image Super-Resolutioncited by 0
  12. 2026Aperture: Merge-Consistent Rotary States for Compressed Tokenscited by 0