Abstract: To address edge blur and the blocky effects problem in the process of zooming in on an image on the basis of second-order differential equation, we propose a new image zooming method according to characteristic of denoising and edge protection for a high-order variation differential equation. First, in accordance with the Chambolle image zooming model, we regard the original low-resolution image as the subspace projection of a zoomed image to its own space. Second, we construct a new image zooming model by introducing a Laplace variation regular term that contains edge detection function. Finally, we introduce an efficient and fast split Bregman algorithm based on an analysis of the properties of the new model. The final zooming image is obtained. Experiments show that the proposed algorithm based on high-order variation can avoid blocky effects, thereby significantly enhancing the texture and the edges of a zoomed image and significantly improving visual effects as a result.