Multi-focus Image Fusion using the Local Neighbor Sum of Laplacian in NSCT Domain

To suppress the Pseudo-Gibbs phenomena caused by the Contourlet, the Nonsubsampled Pyramids Filter Banks and the Nonsubsampled Directional Filter Banks are combined to construct the nonsubsampled Contourlet transform (NSCT). Hence, The NSCT not only possess the main features of multi-scale, multi-directional and timefrequency localization, but also offer the property of the shift-invariant which is vital to image processing. Firstly, multi-scale decomposition is performed on source images using NSCT to get high-frequency and low-frequency images. Secondly, the Novel SumModified-Laplacian and Local Neighbour Sum of Laplacian are respectively used to select the lowpass coefficient and highpass coefficients to combine fused image. Finally, the inverse nonsubsampled contourlet transform is applied to obtain fused image. Experimental results show the proposed approach outperform the traditional discrete wavelet transform-based and the Contourlet-based image fusion methods.