Search Results for author: LiZhi Liu

Found 3 papers, 0 papers with code

$L_{2,1}$-Norm Regularized Quaternion Matrix Completion Using Sparse Representation and Quaternion QR Decomposition

no code implementations7 Sep 2023 Juan Han, Kit Ian Kou, Jifei Miao, LiZhi Liu, Haojiang Li

Color image completion is a challenging problem in computer vision, but recent research has shown that quaternion representations of color images perform well in many areas.

Matrix Completion

Quaternion tensor left ring decomposition and application for color image inpainting

no code implementations20 Jul 2023 Jifei Miao, Kit Ian Kou, Hongmin Cai, LiZhi Liu

Therefore, in this paper, based on the left quaternion matrix multiplication, we propose the quaternion tensor left ring (QTLR) decomposition, which inherits the powerful and generalized representation abilities of the TR decomposition while leveraging the advantages of quaternions for color pixel representation.

Image Inpainting Tensor Networks

Low Rank Quaternion Matrix Completion Based on Quaternion QR Decomposition and Sparse Regularizer

no code implementations23 Nov 2022 Juan Han, Liqiao Yang, Kit Ian Kou, Jifei Miao, LiZhi Liu

In contrast to the traditional quaternion matrix completion algorithms based on quaternion singular value decomposition (QSVD), we propose a novel method based on quaternion Qatar Riyal decomposition (QQR).

Matrix Completion

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