The invention relates to a linear image deformation method based on a local coordinate. The method comprises transforming an image into a corresponding four-side-territory grid, presenting the geometrical characteristics of the grid by affine and angle linearity restriction, constructing a boundary restriction condition based on a user-appointed control culmination, solving a linear equations set, rapidly computing the deformed image. According to the method, the deformation effect with translation sensibility can be obtained by an interaction speed, the proportion of affine deformation can be controlled by adjusting the weights of two kind of linearity restriction, complex deformation effects, such as good bend, translation sensibility, anisotropy zoom, etc., are realized.