关键词: 多聚焦图像融合, RPCA分解, 区域检测, 区域生长法

Abstract: To overcome the problem of no effective method to detect the focus point in multi-focus image fusion, an efficient algorithm based on RPCA （Robust Principal Component Analysis） and region detection is proposed. Firstly, the source images are decomposed into sparse images and low rank images by the theory of RPCA. Secondly, the focus decision diagram of the source image is obtained using the method of region detection in the sparse image. In addition, the consistency operation of three directions and region growing method process is used to get the final decision diagram in the focus decision diagram. Finally, the fusion image is obtained via the final decision diagram. Simulation results demonstrate that the proposed fusion algorithm substantially outperforms the best-known multi-focus image fusion algorithms in four objective evaluation metrics（i.e. standard deviation, average gradient, spatial frequency, mutual information）. The proposed fusion algorithm shows the effectiveness in three subjective evaluation metrics（i.e. contrast, texture clarity, brightness）.

Key words: multi-focus image fusion, Robust Principal Component Analysis（RPCA） decomposition, region detection, region growing method