In recent years

image processing based on the partial differential equation has stronger local adaptive characteristics and a high degree of flexibility. This method becomes a new research hotspot after image processing based on wavelet. Based on the different characteristic and superiority represented by the thermal diffusion model and the TV(total variation)model in the image smooth area and edge or texture area

we propose the adaptive hybrid-image magnification model based on image local characteristics. Initialized by the amplification image after the double linear interpolation

this model adaptively adjusts the diffusion model according to the pixel gradient characteristic in the smooth area and edge or texture area. The proposed model makes the isotropic diffusion in the smooth area

and the direction diffusion along the vertical gradient direction in the edge or texture region. This model inhibits the massive effect and the false edge phenomenon brought by the image interpolation amplification. The proposed model is proved theoretically

and at the same time

a lot of simulation results verify the effectiveness of the proposed model.