In order to adapt to development of compressed sensing imaging technology

and reduce requirement of fusion arithmetic on computational resources

a medical image fusion algorithm in compressed sensing domain is proposed.Owing to the properties of dual tree complex wavelet transform（DT-CWT）

such as nearly translation invariance and multi-direction

the DT-CWT is used as sparse basis in image decomposition

then after decomposition

the coefficients are measured by scrambled block Hadamard matrix to produce observed vector

and the observed vectors are fused by weight averaging

then wavelet coefficients of fusion image are obtained by gradient project reconstruction.Finally

inverse dual tree complex wavelet transform is performed to produce fused image.Experimental results show that the proposed algorithm can obtain good fusion quality and at meanwhile improve efficiency of fusion computation.