An Image Filter Arithmetic Based on Shearlets

Abstract

Rician noise pollutes Magnetic Resonance Imaging (MRI) image and makes later work worse. This paper proposed an filter algorithm which comprehensive utilize Genetic Algorithm (GA) and Shearlet transform. Firstly, it performs a wavelet multi-scale decomposition of image; then, it builds target function in GA; thirdly, it uses the GA to optimal coefficients of Shearlet wavelet threshold value in different scale and different orientation; finally, we obtain the composite image by using inverse lifting wavelet transform. Experimental results show that, the new algorithm presented here is much effective in removing Rician noise.