关键词: 图像融合, 非下采样方向滤波器组, àtrous小波变换, 平移不变性

Abstract: The construction of NonSubsampled Directional Filter Bank（NSDFB） and àtrous wavelet transform which is full shift invariant are introduced，and a novel multi-sensor image fusion scheme based on NSDFB combining àtrous wavelet transform for multi sensor images is proposed.Firstly，each source image is decomposed in highpass subbands and lowpass subbands by àtrous wavelet transform，and the highpass subbands are decomposed in multi-directional high pass-bands respectively by NSDFB.Then different fusion rules are used in different subbands，where local gradient preferential image fusion rule is adopted in highpass subbands and average image fusion rule is adopted in lowpass subbandds.Finally the fused image is reconstructed by taking inverse NSDFB transform and inverse àtrous wavelet transform.The experimental results show that the performance of the novel algorithm is better than the traditional fusion algorithms based on wavelet transformation，and especially，the novel fusion algorithm can effectively eliminate the spectrum warping and the artificial edges caused by wavelet transform.

Key words: image fusion, nonsubsampled directional filter bank, àtrous wavelet transform, shift invariant