Multi-focus Image Fusion Based on Fractional Wavelet Transform and Guided Filtering

• 1、Institute of Information and Computation, School of Mathematics and Physics, North China Electric Power University, Beijing 102206

Abstract：There are some problems such as easy to lose details and produce artifacts at image edges in multi-focus image fusion. To address the aforementioned problems, a new multi-focus image fusion method based on discrete fractional wavelet transform (DFRWT) combined with guided filtering was proposed. First, in order to obtain the low-frequency parts and high-frequency parts, the method uses DFRWT to decompose the source image at multiple scales. Then, the fusion rule of guided filtering weighting is applied to the low frequency part and fractional spatial frequency fusion rule is adopted for high frequency part. Finally, the fused image is obtained by inverse DFRWT. The new method is compared with the existing five algorithms for visual comparison experiments and quantitative evaluation. Simulation experiments show that the proposed method can effectively suppress Gibbs effect and edge artifact effect, achieves better visual effect and objective evaluation, the quality of fusion image is better than several classical algorithms.

Keywords： applied mathematics multi-focus image fusion discrete fractional wavelet transform guided filtering fusion rules