Color image inpainting based on low-rank quaternion matrix factorization

DOI10.3934/jimo.2023104OpenAlexW4386290551MaRDI QIDQ6065206

Junxia Xu, Yannan Chen, Xinzhen Zhang

Publication date: 11 December 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2023104

zbMATH Keywords

low rank approximationcolor image inpaintingpure quaternion matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix completion problems (15A83) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Cites Work

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• Quaternion matrix optimization: motivation and analysis
• Lanczos method for large-scale quaternion singular value decomposition
• Hypercomplex Fourier Transforms of Color Images
• Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
• A randomized tensor singular value decomposition based on the t‐product
• Tensor Factorization for Low-Rank Tensor Completion
• Outlier-Robust Matrix Completion via $\ell _p$ -Minimization
• Robust Matrix Completion via Maximum Correntropy Criterion and Half-Quadratic Optimization
• Quaternion-Based Bilinear Factor Matrix Norm Minimization for Color Image Inpainting
• Low-Rank Quaternion Approximation for Color Image Processing
• Robust quaternion matrix completion with applications to image inpainting
• Matrix Completion From a Few Entries

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