Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression
DOI10.1016/j.aml.2023.108587zbMath1524.65098OpenAlexW4315628847MaRDI QIDQ6101830
Publication date: 20 June 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108587
compression strategyT-productquaternion tensorcolor videotensor-quaternion singular value decomposition
Computing methodologies for image processing (68U10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Multilinear algebra, tensor calculus (15A69) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
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Cites Work
- Factorization strategies for third-order tensors
- Quaternion matrix optimization: motivation and analysis
- Singular value decomposition of third order quaternion tensors
- Lanczos method for large-scale quaternion singular value decomposition
- Robust low transformed multi-rank tensor methods for image alignment
- Robust tensor completion using transformed tensor singular value decomposition
- The octonions
- Exact Tensor Completion Using t-SVD
- 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
- Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging
- Nonlocal robust tensor recovery with nonconvex regularization *
- Quaternions and matrices of quaternions
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