A fusion framework based on compressive sensing theory was proposed under the premise of guaranteeing fusion quality and reducing time-consuming.A fusion algorithm for visible image and infrared image was proposed based on compressive sensing and nonsubsampled contourlet transform.The highpass subbands attained by NSCT are the sparse representation of the source image.The sparse data was transferred to compressed domain by nonlinear mapping,and then the fusion operator was implemented in this domain.Finally,the fused image was attained by the optimization of the problem for exact reconstructing image.The calculation efficiency of algorithm was improved due to the fusion in compressed domain and the reduced the amount of data. Therefore,the algorithm is effective for improving the efficiency of fusion algorithm and the application of airborne real-time.
