A method for rapidly vectorizing image by gradient meshes based on parameterization, comprising the following automatically performed steps: S1, determining an image region to be vectorized; S2, converting said image region into mesh representations, wherein this step S2 comprises: B1. for each pixel in said image region, calculating the weight of each pixel by using the Sobel operator; B2. distributing the sampling points by using error diffusion; B3. obtaining the connections among the meshes by using the Delaunay triangulation; S3, mapping the meshes to a planar rectangular region by mesh parameterization, wherein this step S3 comprises: C1. mapping four corners of the mesh to four endpoints of the rectangle; C2. mapping the boundaries of said mesh to the edges of the rectangular region; C3. mapping the internal vertexes of the mesh into the rectangular region by parameterization; and S4, generating a gradient mesh image according to the results of said mesh parameterization, wherein this step S4 comprises: D1. sampling in the rectangular region evenly, placing a control vertex of the gradient mesh at each lattice point of the rectangular region, and determining the coordinate of the control vertex and its gradient by using the mapping relationship between parameters; D2. determining the color values and color gradients at said control vertex by using color sampling and interpolation. S1, determining an image region to be vectorized; S2, converting said image region into mesh representations, wherein this step S2 comprises: B1. for each pixel in said image region, calculating the weight of each pixel by using the Sobel operator; B2. distributing the sampling points by using error diffusion; B3. obtaining the connections among the meshes by using the Delaunay triangulation; B1. for each pixel in said image region, calculating the weight of each pixel by using the Sobel operator; B2. distributing the sampling points by using error diffusion; B3. obtaining the connections among the meshes by using the Delaunay triangulation; S3, mapping the meshes to a planar rectangular region by mesh parameterization, wherein this step S3 comprises: C1. mapping four corners of the mesh to four endpoints of the rectangle; C2. mapping the boundaries of said mesh to the edges of the rectangular region; C3. mapping the internal vertexes of the mesh into the rectangular region by parameterization; and C1. mapping four corners of the mesh to four endpoints of the rectangle; C2. mapping the boundaries of said mesh to the edges of the rectangular region; C3. mapping the internal vertexes of the mesh into the rectangular region by parameterization; and S4, generating a gradient mesh image according to the results of said mesh parameterization, wherein this step S4 comprises: D1. sampling in the rectangular region evenly, placing a control vertex of the gradient mesh at each lattice point of the rectangular region, and determining the coordinate of the control vertex and its gradient by using the mapping relationship between parameters; D2. determining the color values and color gradients at said control vertex by using color sampling and interpolation. D1. sampling in the rectangular region evenly, placing a control vertex of the gradient mesh at each lattice point of the rectangular region, and determining the coordinate of the control vertex and its gradient by using the mapping relationship between parameters; D2. determining the color values and color gradients at said control vertex by using color sampling and interpolation.