Riesz transform associated with the fractional Fourier transform and applications in image edge detection

DOI10.1016/j.acha.2023.05.003zbMath1518.42009arXiv2111.04027MaRDI QIDQ6172175

Loukas Grafakos, Yue Wu, Shuhui Yang, Zun Wei Fu, Yan Lin

Publication date: 19 July 2023

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04027

zbMATH Keywords

edge detectionfractional Fourier transformfractional Riesz transformchirp Hardy spacefractional multiplier

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

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