关键词: 唐代墓室壁画, 形态学成分分析（MCA）, 图像修复, 全变分（TV）算法, K奇异值分解（K-SVD）

Abstract: The irreversible risk of the digital inpainting work of Tang dynasty tomb murals is greatly reduced. According to the thought of inpainting the whole cartoon first and then the local texture in artificial inpainting of Tang dynasty tomb murals, this paper proposes a new method based on morphological component analysis (MCA) for the inpainting of Tang dynasty tomb murals. Firstly, according to the characteristics of Tang dynasty tomb murals, the improved MCA method has been used to decompose the image into two parts: cartoon part and texture part; then, according to the complexity and degree of texture and cartoon, the simplified total variation (TV) algorithm and the K-singular value decomposition (K-SVD) algorithm are used to inpaint the image. The experimental results show that the algorithm can take into account the effect of the texture and structure, and improve the inpainting accuracy of the cracks in the Tang dynasty tomb murals.

Key words: Tang dynasty tomb murals, morphological component analysis (MCA), image inpainting, total variation (TV) algorithm, K-singular value decomposition (K-SVD)