Partial differential equation(PDE) has become an important tool in image processing and analysis. A basic content of digital image processing is image zooming

namely an image processing technology obtaining a high resolution image from a low resolution image. This article proposes an image zooming algorithm based on the TV-norm (Total Variation norm) interpolation model and fourth order partial differential equation interpolation model

which adopts the idea of total variation model and two kinds of functional models. The validity and feasibility of the algorithm is tested through a simulation experiment and two appraisal criterions—mean square error(MSE) and peak value signal to noise ratio(PSNR).