Data smoothing with applications to edge detection

DOI10.1515/math-2022-0036zbMath1496.65057OpenAlexW4285254132MaRDI QIDQ2084169

Ahmad Baniabedalruhman, Mohammad F. Al-Jamal, A. K. Alomari

Publication date: 18 October 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0036

zbMATH Keywords

regularizationnoisy datadiffusion equationnumerical differentiationedge detectiondata smoothing

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Initial-boundary value problems for second-order parabolic equations (35K20) Linear operators and ill-posed problems, regularization (47A52) Computational issues in computer and robotic vision (65D19)

Cites Work

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• Differentiation by integration with Jacobi polynomials
• A perturbation method for numerical differentiation
• Discrete mollification and automatic numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Smoothing via elliptic operators with application to edge detection
• Theoretical Numerical Analysis
• Lanczo's Generalized Derivative
• Numerical differentiation for two-dimensional functions by a Fourier extension method
• Finite Elements

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