Статья

Color Image Recovery Using Generalized Matrix Completion over Higher-Order Finite Dimensional Algebra

Liang LiaoSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaZhuang GuoSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaQi GaoSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaYan WangSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaFajun YuSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaQifeng ZhaoSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaStephen J. MaybankBirkbeck College, University of London, London WC1E 7HY, UKZhoufeng LiuSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaChunlei LiSchool of Electronics and Information, Zhongyuan University of Technology, Zhengzhou 451191, ChinaLun LiSchool of Information Engineering, Zhengzhou University, Zhengzhou 450001, China

2023en

ABI

Аннотация

To improve the accuracy of color image completion with missing entries, we present a recovery method based on generalized higher-order scalars. We extend the traditional second-order matrix model to a more comprehensive higher-order matrix equivalent, called the “t-matrix” model, which incorporates a pixel neighborhood expansion strategy to characterize the local pixel constraints. This “t-matrix” model is then used to extend some commonly used matrix and tensor completion algorithms to their higher-order versions. We perform extensive experiments on various algorithms using simulated data and publicly available images. The results show that our generalized matrix completion model and the corresponding algorithm compare favorably with their lower-order tensor and conventional matrix counterparts.

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Идентификаторы

DOI: 10.3390/axioms12100954

Цитирования и источники

Цитирований: 3Использованных источников: 0

Показатели — AkademScholar