Efficient low-rank quaternion matrix completion under the learnable transforms for color image recovery

DOI10.1016/j.aml.2023.108880zbMath1526.94007OpenAlexW4387166324MaRDI QIDQ6066902

Jifei Miao, Pengling Wu, Kit Ian Kou

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108880

zbMATH Keywords

alternating direction method of multipliersweighted Schatten \(p\)-normcolor image recoverylow-rank quaternion matrix completionsemi-orthogonal transform

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Cites Work

• Singular value decomposition of third order quaternion tensors
• A generalized solution of the orthogonal Procrustes problem
• Nonconvex Nonsmooth Low Rank Minimization via Iteratively Reweighted Nuclear Norm
• Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition
• Quaternion-Michelson Descriptor for Color Image Classification
• Matrix Completion Based on Non-Convex Low-Rank Approximation
• 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
• Quaternions and matrices of quaternions
• Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression

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