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Fractional-Order Adaptive Motion Magnification: Phase-Reliability Weighting for Noise-Constrained Video Amplification — arXiv:2609.04502

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.04502
License (as archived): CC0-1.0
Archived: 2026-10-16T23:44:20.100Z
SHA-256 of the archived text: 2045f57a6192ab2d92716be91f757ba1c0276a7d903d11c605e0796af780dec1
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How to cite

Fractional-Order Adaptive Motion Magnification: Phase-Reliability Weighting for Noise-Constrained Video Amplification — arXiv:2609.04502 — arXiv (en), https://arxiv.org/abs/2609.04502 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_d828da08076a (Metraipolis archive dc_d828da08076a, sha256 2045f57a6192ab2d92716be91f757ba1c0276a7d903d11c605e0796af780dec1)

BibTeX

@misc{dcd828da08076a,
  title = {Fractional-Order Adaptive Motion Magnification: Phase-Reliability Weighting for Noise-Constrained Video Amplification — arXiv:2609.04502},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.04502},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_d828da08076a; sha256 2045f57a6192ab2d92716be91f757ba1c0276a7d903d11c605e0796af780dec1},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.04502. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Eulerian video amplification boosts sub-pixel motion by band-pass filtering per-pixel intensity traces and applying a uniform gain. That gain ignores local structure, so sensor noise is amplified together with the signal, especially in textureless regions where the monogenic phase is unreliable. We propose FrAM (Fractional-order Adaptive Motion Magnification), a pipeline developed first offline and then as a causal stream. It replaces the constant temporal gain with a Grünwald--Letnikov derivative of fractional order, giving continuous control over high-frequency emphasis, and replaces the uniform spatial gain with a per-pixel weight derived from the local amplitude of the monogenic signal. On a controlled synthetic sequence split into textured and flat halves, FrAM matches the amplification of the Eulerian baseline while keeping flat-region temporal noise at the input level. The reduction holds across an eightfold range of input noise levels. Real videos show improved spatial selectivity and lower background noise in every case. The causal reformulation cuts the per-frame cost by two orders of magnitude, reaching 69\,fps at 640$\times$480.

Tema degli esploratori: statistica e scienza dei dati (retro-catalogo arXiv: annunci del 2026-09-07 in cs.CV).
Categorie arXiv: Image and Video Processing (eess.IV) ; Computer Vision and Pattern Recognition (cs.CV).
Pagina del lavoro: https://arxiv.org/abs/2609.04502 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T23:16:11.487Z dalla pagina https://arxiv.org/catchup/cs.CV/2026-09-07?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).