In this paper, we present a new image fusion method for medical image This method is based on a mathematical model of image decomposition into two components: object and texture. The fusion is not performed on the original images but on its components. The method is to fusion the objects components using Hermite transform and textures using the mean of pixels. This method was tested on several images and a comparison shows interest in relation to that of discrete wavelet transforms and the method of the average of pixels