Abstract: Image fusion technology is the basis of computer vision task, but information is easily affected by noise during transmission. In this paper, an Improved Pigeon-Inspired Optimization (IPIO) is proposed, and used for multi-focus noisy image fusion by combining with the boundary handling of the convolutional sparse representation. By two-scale image decomposition, the input image is decomposed into base layer and detail layer. For the base layer, IPIO algorithm is used to obtain the optimized weights for fusion, whose value range is gained by fusing the edge information. Besides, the global information entropy is used as the fitness index of the IPIO, which has high efficiency especially for discrete optimization problems. For the detail layer, the fusion of its coefficients is completed by performing boundary processing when solving the convolution sparse representation in the frequency domain. The sum of the above base and detail layers is as the final fused image. Experimental results show that the proposed algorithm has a better fusion effect compared with the recent algorithms. 

Key words: Improved pigeon-inspired optimization, Convolutional sparse representation, Noisy image fusion, Bionic algorithm ,