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arXiv · 2009.12203

A Low Rank Quaternion Decomposition Algorithm and Its Application in Color Image Inpainting

Yannan Chen·Liqun Qi·Xinzhen Zhang·Yuwei Xu
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Abstract

In this paper, we propose a lower rank quaternion decomposition algorithm and apply it to color image inpainting. We introduce a concise form for the gradient of a real function in quaternion matrix variables. The optimality conditions of our quaternion least squares problem have a simple expression with this form. The convergence and convergence rate of our algorithm are established with this tool.

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Yannan Chen, Liqun Qi, Xinzhen Zhang, Yuwei Xu. 2020-09-25. A Low Rank Quaternion Decomposition Algorithm and Its Application in Color Image Inpainting. https://arxiv.org/abs/2009.12203

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