测量矩阵是压缩感知理论的三大核心部分之一,它直接影响着压缩感知理论在图像融合领域的应用.针对随机测量矩阵不易硬件实现的问题,本文设计了一种仅由-1、0和1三个值组成的测量矩阵,并利用基于Gram矩阵的优化方法使其尽可能地与稀疏变换矩阵不相关.实验结果表明,该测量矩阵不仅能提高重构图像的PSNR (Peak Signal toNoise Ratio),而且将其应用于基于压缩感知的图像融合中,在采样率仅为非压缩域50％的情况下仍能取得较好的融合效果.
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