Edge detection methods based on modified differential phase congruency of monogenic signal

DOI10.1007/S11045-016-0468-2zbMath1450.94024OpenAlexW2567258006WikidataQ114224596 ScholiaQ114224596MaRDI QIDQ784535

Yan Yang, Kit Ian Kou, Cuiming Zou

Publication date: 3 August 2020

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-016-0468-2

zbMATH Keywords

Hilbert transformphase spacePoisson operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

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A robust color edge detection algorithm based on the quaternion Hardy filter ⋮ Hayman theorem in \(\mathcal{R}_+^{n+1}\) with the Clifford analysis setting

Cites Work

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• Phase derivative of monogenic signals in higher dimensional spaces
• Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
• The Paley-Wiener theorem in \(\mathbb{R}^n\) with the Clifford analysis setting
• Space-frequency analysis in higher dimensions and applications
• The monogenic scale-space: a unifying approach to phase-based image processing in scale-space
• Causality and dispersion relations for fixed momentum transfer
• Uniqueness of the Gaussian Kernel for Scale-Space Filtering
• Robust Visual Knowledge Transfer via Extreme Learning Machine-Based Domain Adaptation
• The monogenic signal

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