An　image　magnification　method　with　GVF-based　anisotropic　diffusion　model　is　proposed.　An　image　is　magnified　by　bilinear　interpolation　at　first.　Then,　an　iterative　restoration　with　a　GVF　based　mean　curvature　flow　diffusion　and　a　Gaussian　moving　average　LR　constraint　is　applied　to　the　magnified　image.　Since　GVF　is　a　rotational　field,　as　an　external　force　field　to　descript　the　edges　of　an　image,　the　vector　flow　will　become　streamline　near　the　jagged　edges.　Therefore,　the　GVF　based　anisotropic　diffusion　will　be　helpful　to　remove　the　jagged　effects　as　well　as　keep　the　texture　structures.　Meanwhile,　the　Gaussian　moving　average　LR　model　provides　a　data　fidelity　constraint　which　makes　the　results　more　close　to　the　ideal　HR　images.　Experiments　results　show　that　the　proposed　method　can　improve　the　quality　of　magnified　image　in　terms　of　both　the　objective　and　subjective.