Abstract
Nonsubsampled Contourlet transform (NSCT) has properties such as multiscale, localization, multidirection, and shift invariance, but only limits the signal analysis to the time frequency domain. Fractional Fourier transform (FRFT) develops the signal analysis to fractional domain, has many super performances, but is unable to attribute the signal partial characteristic. A novel image fusion algorithm based on FRFT and NSCT is proposed and demonstrated in this paper. Firstly, take FRFT on the two source images to obtain fractional domain matrices. Secondly, the NSCT is performed on the aforementioned matrices to acquire multiscale and multidirection images. Thirdly, take fusion rule for low-frequency subband coefficients and directional bandpass subband coefficients to get the fused coefficients. Finally, the fused image is obtained by performing the inverse NSCT and inverse FRFT on the combined coefficients. Three modes images and three fusion rules are demonstrated in the proposed algorithm test. The simulation results show that the proposed fusion approach is better than the methods based on NSCT at the same parameters.
Highlights
Image fusion is synthesizing two or more images of the same object, which come from different sensors, into a new image
The fractional Fourier transform (FRFT) is a new transformation which develops the signal analysis into fractional time-frequency domain
One should use the conventional inverse wavelet transform and carry out a Fractional Fourier transform (FRFT) with the fractional order of −p to return back to the plane of the input function [25]. According to this idea a new image fusion method based on FRFT-Nonsubsampled Contourlet transform (NSCT) is proposed
Summary
Image fusion is synthesizing two or more images of the same object, which come from different sensors, into a new image. Various fusion methods based on multiscale transforms (MSTs) have been proposed and some satisfactory results have been obtained (i.e., Pyramid, Wavelet, etc.). In NSCT nonsubsample filter banks replace the up sampler and down sampler as filter banks to obtain the shift invariance Because of these advantages such as multiscale, multi-directions, good spatial and frequency. Localization, and shift invariance, many image fusion methods based on NSCT have been proposed and provided with high performance [10, 11]. The fractional Fourier transform (FRFT) is a new transformation which develops the signal analysis into fractional time-frequency domain. Nonsubsampled Contourlet transform (NSCT) has properties such as multiscale, localization, multi-direction, and shift invariance, which, only limits the signal analysis to the time frequency domain.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
