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In this paper a hybrid image inpainting model is proposed. The novel model uses the TV-L1 equation to decompose the image into a structure part and a texture part, and then more dynamic information is contained in the texture part. The equivalence between inpainting Partial differential equation (PDE) and inviscid Helmholtz vorticity equation is proved in this paper and then a bi-directional diffusion PDE is used to inpaint the structural part. The texture part is restored by exemplar-based inpainting model which is constrained by a cross-isophote diffused data term. The novel hybrid model can inpaint image with texture information and preserve linear structure simultaneously. Both theoretical analysis and experiments have verified the validity of the novel model proposed in this paper.